introduction to civil, environmental, and geo- engineering · ability to plot an autocad drawing to...
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1. Course Title:
CEGE 1101: Introduction to Civil, Environmental, and Geo- Engineering
2. Credit and Contact Hours
1 credit hour
1 contact hour per week
3. Instructors:
Dr. Catherine French, P.E.
4. Textbook:
No required textbook
a. Other supplemental materials
None
5. Specific Course Information:
a. Brief description of the content of the course (catalog description)
Introduction to civil, environmental, and geo- engineering practice and the vital role these
fields play in our society. Presentations made by faculty and professional engineers
include current and future challenges, research and career opportunities, and case studies
of projects.
b. Prerequisites or co-requisites
Lower division student
c. Required, elective, or selected elective
Selected elective: CE, EnvE, GeoE
6. Specific Goals for the Course
a. Specific outcomes of instruction
● Understanding of the vital role that civil, environmental, and geo- engineers have in
modern society including current and future challenges than need to be addressed.
● Understanding of the different areas of emphasis within civil engineering (i.e.,
environmental, geomechanics, structural, transportation, and water resources).
● Understanding of the types of careers available (private practice, government, etc.) as
well as current research, internship, and professional activity opportunities.
b. Explicitly indicate which of the student outcomes listed in Criterion 3 or any
other outcomes are addressed by the course.
7. An ability to acquire and apply new knowledge as needed, using appropriate learning
strategies
7. Brief list of topics to be covered.
General description of department and degrees offered
General description of Environmental Engineering
General description of Geoengineering
General description of Structural Engineering
General description of Transportation Engineering
General description of Water Resources Engineering
Personal experiences of practicing engineers
Description of student groups associated with CEGE
1. Course Title:
CEGE 3101: Computer Applications I
2. Credit and Contact Hours
3 credit hours
3 contact hours per week
3. Instructors:
Dr. Randal Barnes
Dr. Stefano Gonella
4. Textbook:
Varies with instructor.
a. Other supplemental materials
Websites and other freely available material
5. Specific Course Information:
a. Brief description of the content of the course (catalog description)
Computer tools and computational methods for solving civil, environmental, and geo-
engineering problems. Solving systems of linear/nonlinear equations, parameter
estimation and engineering model fitting, numerical differentiation/integration, numerical
solution of ordinary and partial differential equations.
b. Prerequisites or co-requisites
MATH 1372 or equivalent
PHYS 1301 or equivalent
CSE or instructor consent
c. Required, elective, or selected elective
Required: CE, EnvE, GeoE
6. Specific Goals for the Course
a. Specific outcomes of instruction
● Understanding of the fundamental techniques for the numerical solution of
mathematical problems that are encountered across civil, environmental, and geo-
engineering.
● Understanding of the fundamental concepts of numerical analysis: convergence,
accuracy, stability.
● Knowledge of how to implement and use numerical solution techniques.
● Practice of perfecting the art of coding and debugging.
● Development of an appreciation for the problem solving skills associated with
technical computing.
● Development of a personal library of Matlab computer codes for present and future
use in academic and professional life.
b. Explicitly indicate which of the student outcomes listed in Criterion 3 or any
other outcomes are addressed by the course.
3. An ability to communicate effectively with a range of audiences
7. Brief list of topics to be covered.
Solving nonlinear equations
Iterative methods, algorithms, and convergence
Data representations, computer math, and an introduction to error analysis
Solving systems of nonlinear equations
Regression, curve fitting, and parameter estimation
Interpolation, function approximation, and optimization
Engineering model fitting
Programming, including debugging, using MATLAB
Numerical integration
Computational precision
Solving systems of linear equations
Specific and iterative methods
Numerical solution of first-order ordinary differential equations
Numerical solution to higher-order differential equations
Systems of linear equations—invertible, over-determined, and under-determined
Numerical solution to partial differential equations
1. Course Title:
CEGE 3102: Uncertainty and Decision Analysis
2. Credit and Contact Hours
3 credit hours
2 contact hours per week (lecture)
1 contact hour per week (recitation)
3. Instructors:
Dr. Randal Barnes
Dr. Gary Davis
4. Textbook:
Probability Concepts in Engineering, A. Ang and W Tang, 2nd edition, 2007.
a. Other supplemental materials
Handouts from Instructor
5. Specific Course Information:
a. Brief description of the content of the course (catalog description)
Stochastic models, their usefulness in reasoning about uncertainty in civil, environmental,
and geo- engineering. Techniques for identifying, fitting, and validating models using
data samples. Testing hypotheses about, and bounding uncertainty attached to,
engineering parameters. Applications to civil, environmental, and geo- engineering.
b. Prerequisites or co-requisites
MATH 1372 or equivalent
c. Required, elective, or selected elective
Required: CE, EnvE, GeoE
6. Specific Goals for the Course
a. Specific outcomes of instruction
● Ability to use probability theory to deduce probability statements from given
information.
● Ability to derive a plausible probability model from first principles.
● Ability to use Monte Carlo simulation to compute desired probabilities.
● Ability to estimate a population quantity from a sample, determine the associated
confidence interval.
● Ability to determine the minimum sample size needed to achieve a desired precision.
● Ability to identify a plausible probability model for a data set, and assess its
goodness-of-fit.
● Ability to test a hypothesis about a population quantity using a data sample.
b. Explicitly indicate which of the student outcomes listed in Criterion 3 or any
other outcomes are addressed by the course.
1. An ability to identify, formulate, and solve complex engineering problems by
applying principles of engineering, science, and mathematics
6. An ability to develop and conduct appropriate experimentation, analyze and interpret
data, and use engineering judgment to draw conclusions
7. Brief list of topics to be covered.
Descriptive Statistics
Probability Theory
Random Variables
Discrete Probability Modes
Continuous Random Variables
Functions of Random Variables
Estimation and Hypothesis Testing
Simulation/Numerical Methods
Goodness of Fit/Model Selection
Regression Analysis
1. Course Title:
CEGE 3103: Engineering Ethics and Professional Practice
2. Credit and Contact Hours
1 credit hour
1 contact hours per week (discussion)
3. Instructors:
Dr. Gary Davis
Dr. Vaughan Voller
4. Textbook:
Engineering Ethics, 4th edition, C. Fleddermann, 2012.
a. Other supplemental materials
Handouts from instructor
5. Specific Course Information:
a. Brief description of the content of the course (catalog description)
Introduction to ethical thinking, legal aspects of professional practice, codes of ethics for
engineers, ethical problem-solving using case studies.
b. Prerequisites or co-requisites
Upper division CE, EnvE, GeoE or instructor consent
c. Required, elective, or selected elective
Required: CE, EnvE, GeoE
6. Specific Goals for the Course
a. Specific outcomes of instruction
Working knowledge of ethical theories.
Understanding of concepts of professional practice.
Ability to explain importance of professional licensure.
Working knowledge of engineering codes of ethics.
Ability to analyze issues in professional ethics.
b. Explicitly indicate which of the student outcomes listed in Criterion 3 or any
other outcomes are addressed by the course.
3. An ability to communicate effectively with a range of audiences
4. An ability to recognize ethical and professional responsibilities in engineering
situations and make informed judgments, which must consider the impact of
engineering solutions in global, economic, environmental, and societal contexts
5. An ability to function effectively on a team whose members together provide
leadership, create a collaborative and inclusive environment, establish goals, plan
tasks, and meet objectives
7. Brief list of topics to be covered
Professional ethical codes
Legal aspects of professional practice
Understanding ethical problems
Ethical problem solving
Risk, safety, and cost
Rights and responsibilities
Whistle-blowing
Ethics in research
Ethics in private practice
1. Course Title:
CEGE 3111: CADD for Civil Engineers
2. Credit and Contact Hours
2 credit hours
4 contact hours per week (combination of lab and lecture)
3. Instructors:
Ms. Ann Johnson, P.E.
4. Textbook:
Harnessing AutoCAD 2013, G.V. Krishnan, 2013.
a. Other supplemental materials
Course packet provided by instructor
5. Specific Course Information:
a. Brief description of the content of the course (catalog description)
Introduction to AutoCAD and Civil 3D software. Students complete all tasks to design
two-lane roadways and subdivision using civil engineering design software, including
topography, plan/profile, contours, cross sections, and quantity calculations.
b. Prerequisites or co-requisites
CEGE 3201
c. Required, elective, or selected elective
Selected elective: CE, EnvE, GeoE
6. Specific Goals for the Course
a. Specific outcomes of instruction
● Understanding and ability to describe how AutoCAD and other computer aided
drafting programs work.
● Ability to execute basic AutoCAD drawing commands.
● Ability to execute basic AutoCAD modification commands.
● Ability to dimension a drawing according to industry standards.
● Ability to read an AutoCAD drawing and describe its elements.
● Development of a plan for efficiently completing an AutoCAD drawing given
dimensions and criteria.
● Ability to transfer hand-measured dimensions to an AutoCAD drawing.
● Understanding and use of drawing limits and drafting settings.
● Understanding of blocks and how they are used, developed and modified.
● Ability to plot an AutoCAD drawing to scale.
● Ability to describe how Civil 3D works to model civil engineering projects.
● Ability to import surveying data into a Civil 3D drawing.
● Ability to create a topographic map using survey data points along with photos from
Google Earth, and the MnGEO website.
b. Explicitly indicate which of the student outcomes listed in Criterion 3 or any
other outcomes are addressed by the course.
3. An ability to communicate effectively with a range of audiences
7. An ability to acquire and apply new knowledge as needed, using appropriate learning
strategies
7. Brief list of topics to be covered.
AutoCAD Skills
Beginning Drawing, Coordinate Systems, Modify Objects
Drawing Tools, Layers
Moving, Rotating, Copying and Modifying
Constructing Geometric Figures
Advanced Drawing Commands
Dimensioning
Hatching and Boundaries
Blocks and Attributes
Plotting
Civil 3D Skills
Creating a Project
Importing Points/Description Keys
Creating Topographic Maps
Digital Terrain Modeling and Contours
Horizontal Geometry
Vertical Geometry
Assemblies, Subassemblies and Cross Sections
Transitions
Intersections
Plotting Plan Sheets
1. Course Title:
CEGE 3201: Introduction to Transportation Engineering
2. Credit and Contact Hours
3 credit hours
2 contact hours per week (lecture)
1 contact hour per week (recitation)
3. Instructors:
Dr. Gary Davis
Dr. Alireza Khani
Dr. Michael Levin
4. Textbook:
Principles of Highway Engineering and Traffic Analysis, F. Mannering and S. Washburn, 5th
Edition, 2012.
a. Other supplemental materials
None
5. Specific Course Information:
a. Brief description of the content of the course (catalog description)
Applying laws of motion to vehicle performance, determining constraints for highway
designs. Traffic flow principles, their relation to capacity and level of service. Geometric
design, traffic control, pavement design, transportation planning.
b. Prerequisites or co-requisites
PHYS 1301 or equivalent
CEGE 3101, CEGE 3102 (co-requisites)
c. Required, elective, or selected elective
Required: CE
Selected elective: EnvE, GeoE
6. Specific Goals for the Course
a. Specific outcomes of instruction
● Basic understanding of the fundamental issues in transportation.
● Basic understanding of the factors influencing road vehicle performance.
● Knowledge of basic principles of highway geometric design and ability to apply these
principles to solve simple problems.
● Basic understanding of traffic flow and queuing theory.
● Knowledge of basic procedures for highway capacity and level of service analysis.
● Basic understanding of traffic signal theory and elements of traffic signal operation.
● Basic understanding of travel demand and traffic forecasting.
b. Explicitly indicate which of the student outcomes listed in Criterion 3 or any
other outcomes are addressed by the course.
1. An ability to identify, formulate, and solve complex engineering problems by applying
principles of engineering, science, and mathematics 5. An ability to function effectively on a team whose members together provide
leadership, create a collaborative and inclusive environment, establish goals, plan
tasks, and meet objectives.
7. Brief list of topics to be covered
Vehicle Performance/Human Factors
Geometric Design
Traffic Flow
Traffic Signals
Freeway Capacity and Level of Service (LOS)
Pavement Design
Travel Demand/Forecasting
1. Course Title:
CEGE 3202: Surveying and Mapping
2. Credit and Contact Hours
2 credit hours
1.25 contact hours (lecture)
3 contact hours (lab; first six weeks of the term)
3. Instructors:
Ms. Ann Johnson, P.E.
4. Textbook:
Elementary Surveying: An Introduction to Geomatics, Wolf and Ghilani, 2012.
a. Other supplemental materials
None
5. Specific Course Information:
a. Brief description of the content of the course (catalog description)
Theory of precision measurements of distance, elevation, angle, and direction of
points/lines above, on, or beneath earth's surface. Establishing such points/lines.
Elements of coordinate systems, datum planes, and maps.
b. Prerequisites or co-requisites
MATH 1271 or equivalent
MATH 1272 or equivalent
CSE or Construction Management student
c. Required, elective, or selected elective
Selected elective: CE, EnvE, GeoE
6. Specific Goals for the Course
a. Specific outcomes of instruction
● Ability to operate a differential level.
● Ability to operate a total station.
● Ability to reduce level notes.
● Ability to correct angle measurements for use in traverse computations.
● Ability to compute latitude and departure of a line.
● Ability to compute coordinate values.
● Ability to use coordinate geometry to compute distances and angles.
● Understanding of the direction of lines as described by azimuth and bearing.
● Ability to draw, read, and interpret contours.
● Ability to describe how GPS works.
● Ability to describe the use of GPS in construction staking and operations.
● Ability to use an engineering scale to plot survey data.
● Ability to develop a map from survey data.
● Ability to sketch locations of objects in the field.
● Ability to accurately determine horizontal distances by pacing.
b. Explicitly indicate which of the student outcomes listed in Criterion 3 or any
other outcomes are addressed by the course.
1. An ability to identify, formulate, and solve complex engineering problems by applying
principles of engineering, science, and mathematics
5. An ability to function effectively on a team whose members together provide
leadership, create a collaborative and inclusive environment, establish goals, plan
tasks, and meet objectives
7. An ability to acquire and apply new knowledge as needed, using appropriate learning
strategies
7. Brief list of topics to be covered.
Lab:
Differential leveling
Traversing with total station
Topographic mapping with a Total Station
Introduction to GPS
Lecture:
Surveying terms and precision
Field notes, distance measurements and angles
Traversing and traverse corrections
Angle measurement and correction
Azimuths and bearings
Topographic mapping and drafting
Map reading
Public Land Survey origin and implications
Coordinate geometry
Contours
Civil plan elements: plan, profiles, sections, and plan components
Introduction to GPS
1. Course Title:
CEGE 3301: Soil Mechanics I
2. Credit and Contact Hours
3 credit hours
3 contact hours per week
3. Instructors:
Dr. Emmanuel Detournay
Dr. Bojan Guzina
4. Textbook:
Soil Mechanics, A. Verruijt, 2012. http://geo.verruijt.net/software/SoilMechBook2012.pdf
a. Other supplemental materials
CEGE 3301 Lab Manual, Department of Civil, Environmental, and Geo- Engineering
5. Specific Course Information:
a. Brief description of the content of the course (catalog description)
Index properties and soil classification. Effective stress. Permeability and seepage.
Elasticity theory. One-dimensional compression and consolidation; settlements.
Compaction; cut and fill problems.
b. Prerequisites or co-requisites
AEM 3031
CEGE 3101
Upper division CSE or instructor consent
c. Required, elective, or selected elective
Required: CE, EnvE, GeoE
6. Specific Goals for the Course
a. Specific outcomes of instruction
● Understanding of the nature and multi-phase composition of soils.
● Understanding of the basics of one-dimensional and two-dimensional groundwater
flow.
● Reinforcement of the understanding of the concepts of stress and strain; and
understanding of the principle of effective stress.
● Ability to compute the geostatic stress and pore pressure in a soil mass.
● Ability to solve 2D engineering problems (in particular groundwater flow) via
contemporary computer tools such as the finite difference method.
● Understanding of the compressibility and consolidation of soils.
● Understanding of the principles and importance of soil compaction.
b. Explicitly indicate which of the student outcomes listed in Criterion 3 or any
other outcomes are addressed by the course.
1. An ability to identify, formulate, and solve complex engineering problems by applying
principles of engineering, science, and mathematics
3. An ability to communicate effectively with a range of audiences
6. An ability to develop and conduct appropriate experimentation, analyze and interpret
data, and use engineering judgment to draw conclusions
7. Brief list of topics to be covered.
Mineral composition
Grain-size distribution; soil classification
Phase composition (particles, water & air); phase relationships
Soil consistency (cohesive and granular soils)
1D Groundwater flow; Darcy’s law
Determination of hydraulic conductivity
Permeability of layered soils
2D groundwater flow; continuity equation
Seepage problems; flow nets
Finite difference method; numerical simulation of seepage
Effective stress principle
Geostatic stresses in layered soils; capillary action
Boussinesq solution; stresses under a rectangular loaded area
Consolidation of soils; 1D consolidation settlement
Settlement due to non-monotonic loading; oedometer test
Consolidation equation; consolidation parameters
Coefficient of consolidation; time rate of consolidation
Soil compaction; cut and fill
1. Course Title:
CEGE 3401: Linear Structural Analysis
2. Credit and Contact Hours
3 credit hours
3 contact hours per week (lecture)
3. Instructors:
Dr. Catherine French, P.E.
Dr. Jialiang Le, P.E.
Dr. Arturo Schultz
Dr. Carol Shield, P.E.
Dr. Henryk Stolarski
4. Textbook (one of the following):
Varies with instructor:
Structural Analysis, Aslam Kassimali, 5th Edition, 2010.
Structural Analysis, Russel C. Hibbeler, 9th Edition, 2015.
a. Other supplemental materials
None
5. Specific Course Information:
a. Brief description of the content of the course (catalog description)
Analysis of determinate/indeterminate trusses and frames. Application of energy methods
and virtual work technique in analysis of structural deformations. Force-based and
displacement-based methods in analysis of indeterminate structures. Influence lines and
critical load configurations.
b. Prerequisites or co-requisites
AEM 3031
Upper division CSE or instructor consent
c. Required, elective, or selected elective
Required: CE
Selected elective: EnvE, GeoE
6. Specific Goals for the Course
a. Specific outcomes of instruction
● Familiarity with basic structural systems and their load carrying mechanisms.
● Understanding of basic principles and analysis methods in structural analysis.
● Ability to evaluate internal forces and deformations in determinate structures.
● Understanding of the force-based and displacement-based approaches to analysis of
indeterminate structures.
● Ability to select an appropriate method of analysis for a given structure.
● Familiarity with selecting design-critical loading scenarios based on influence lines.
b. Explicitly indicate which of the student outcomes listed in Criterion 3 or any
other outcomes are addressed by the course.
1. An ability to identify, formulate, and solve complex engineering problems by applying
principles of engineering, science, and mathematics
7. Brief list of topics to be covered.
Systems of forces and corresponding equilibrium conditions
Stability and statical determinacy (indeterminacy) of structures
Evaluation of internal forces in statically determinate frames and trusses
Development of the principle of virtual work and its use in analysis of deformation
Methods of analysis for deformations of statically determinate beams, frames, and trusses
Influence lines
Force-based method of analysis of statically indeterminate structures
Displacement-based method of analysis of statically indeterminate structures
1. Course Title:
CEGE 3402W: Civil Engineering Materials
2. Credit and Contact Hours
3 credit hours
4 contact hours per week (3 per week in lecture and 1 per week in laboratory)
3. Instructors:
Dr. Joseph Labuz, P.E.
Dr. Mihai Marasteanu
4. Textbook:
Materials for Civil and Construction Engineers, M.S. Mamlouk and J.P. Zaniewski, 2011.
a. Other supplemental materials
Standards for materials testing on reserve and available online through Walter Library.
5. Specific Course Information:
a. Brief description of the content of the course (catalog description)
Concepts and modeling of behavior mechanisms for civil engineering materials such as
concrete, masonry, metals, asphalt, plastics, and wood. Standard specifications for
material properties. Techniques for testing.
b. Prerequisites or co-requisites
AEM 3031
c. Required, elective, or selected elective
Required: CE, EnvE
Selected elective: GeoE
6. Specific Goals for the Course
a. Specific outcomes of instruction
● Understanding of the qualitative behavior of materials used in civil engineering
construction, including concrete, metals, composites, asphalt and masonry.
● Familiarity with the values of basic mechanical properties of materials used in civil
engineering construction including modulus of elasticity, yield strength, ultimate
strength, endurance limit, fracture toughness, Charpy impact energy.
● Understanding of the role of mathematics and mechanics in formulation of the
problems of elasticity, plasticity, and viscoelasticity models of the mechanical
behavior of materials used in civil engineering construction.
● Ability to conduct experiments to measure the mechanical and physical properties of
materials, interpret data and prepare laboratory reports.
● Ability to communicate professionally within the engineering community using
writing instructions provided through class lecture, writing practice, feedback, and
revision.
b. Explicitly indicate which of the student outcomes listed in Criterion 3 or any
other outcomes are addressed by the course.
1. An ability to identify, formulate, and solve complex engineering problems by applying
principles of engineering, science, and mathematics
3. An ability to communicate effectively with a range of audiences
6. An ability to develop and conduct appropriate experimentation, analyze and interpret
data, and use engineering judgment to draw conclusions
7. Brief list of topics to be covered.
Stress/strain/deformation, mechanical properties
Structural elements made of linear and nonlinear materials
Tension, compression, and flexure of elastic, elastic-plastic, and composite elements
Metals; properties, fatigue, fracture, corrosion
Brittle materials; concrete, rock and ceramics
Aggregates, Portland cement, Portland cement concrete
Wood, masonry, and composite materials
Linear systems; series and parallel arrangements
Viscoelasticity
Asphalt cement, asphalt concrete
1. Course Title:
CEGE 3501: Introduction to Environmental Engineering
2. Credit and Contact Hours
3 credit hours
3 contact hours per week (lecture)
3. Instructors:
Dr. William Arnold, P.E.
Dr. Paige Novak, P.E.
Dr. Erin Surdo
4. Textbook:
Introduction to Environmental Engineering, Davis & Cornwell, 5th Edition, 2012.
a. Other supplemental materials
None
5. Specific Course Information:
a. Brief description of the content of the course (catalog description)
A quantitative approach to environmental problems, including the development of mass
and energy balances and the application of fundamental principles of environmental
chemistry and microbiology. Meets the University of Minnesota’s liberal education
environment theme through the incorporation of environmental function, problems, and
solutions throughout the course.
b. Prerequisites or co-requisites
CHEM 1062
MATH 1372 or equivalent
PHYS 1302
c. Required, elective, or selected elective
Required: CE, EnvE, GeoE
6. Specific Goals for the Course
a. Specific outcomes of instruction
● Ability to formulate material and energy balances with applications to environmental
systems.
● Understanding of the mathematical formulations used to analyze the fate and
transport of substances in idealized environmental systems containing air, water, and
solid phases.
● Broad understanding of challenges and current technologies in environmental
engineering.
● Understanding of the scientific principles behind global climate change.
● Ability to identify key air, water, and soil pollutants.
● Understanding of the chemistry and microbiology principles behind water and
wastewater treatment.
● Understanding of the treatment of solid and hazardous wastes.
● Understanding of the role of government and citizens in developing policy and the
ethical implications of technology with regard to environmental issues.
b. Explicitly indicate which of the student outcomes listed in Criterion 3 or any
other outcomes are addressed by the course.
4. An ability to recognize ethical and professional responsibilities in engineering
situations and make informed judgments, which must consider the impact of
engineering solutions in global, economic, environmental, and societal contexts
7. An ability to acquire and apply new knowledge as needed, using appropriate learning
strategies
7. Brief list of topics to be covered.
Mass and energy balances
Global climate change
Equilibrium chemistry: pH, solubility, carbonate system
Chemical and microbial kinetics
Water resources
Water pollutants
Drinking water treatment
Wastewater treatment
Air pollutants
Treatment of air pollution
Solid waste treatment
Hazardous waste treatment
Ethics
1. Course Title:
CEGE 3502: Fluid Mechanics
2. Credit and Contact Hours
4 credit hours
3 contact hours per week (lecture)
2 contact hours per week (lab)
3. Instructors:
Dr. Michele Guala
Dr. Kimberly Hill
4. Textbook:
Engineering fluid mechanics, Elger et al., Wiley 2016.
a. Other supplemental materials
Laboratory manual (e-copy)
Moodle site
5. Specific Course Information:
a. Brief description of the content of the course (catalog description)
Fluid statics/dynamics. Kinematics of fluid flow, equations of motion, pressure-velocity
relationships, viscous effects, boundary layers. Momentum/energy equations. Lift/drag.
Flow in pipes and pipe systems. Hydraulic machinery. Fluid measurements.
b. Prerequisites or co-requisites
AEM 2012 or AEM 3031
MATH 2373 or equivalent
CEGE 3101
c. Required, elective, or selected elective
Required: CE, EnvE, GeoE
6. Specific Goals for the Course
a. Specific outcomes of instruction
● Ability to measure fluid properties and understand how different fluids can be used
for different purposes.
● Ability to estimate the forces acting on submerged or partially submerged objects of
different shape.
● Understanding of the difference between the laminar and turbulent regimes (in the
equations and in laboratory experiments).
● Ability to apply the Control Volume approach for energy and momentum equation.
● Ability to design laboratory experiments (similitude and flow measurements).
● Ability to design simple components of hydraulic systems (pumps, pipe systems).
b. Explicitly indicate which of the student outcomes listed in Criterion 3 or any
other outcomes are addressed by the course.
1. An ability to identify, formulate, and solve complex engineering problems by applying
principles of engineering, science, and mathematics
6. An ability to develop and conduct appropriate experimentation, analyze and interpret
data, and use engineering judgment to draw conclusions
7. Brief list of topics to be covered.
Fluid properties
Fluid statics
Bernoulli equation and pressure variation
Control volume approach and continuity equation
Momentum equation
Energy equation
Dimensional analysis and similitude
Shear force and boundary layer
Flow in conduits
Drag and lift
Flow and fluid properties measurements
Turbomachinery
1. Course Title:
CEGE 3541: Environmental Engineering Laboratory
2. Credit and Contact Hours
3 credit hours
2 contact hours per week (lecture)
3 contact hours per week (lab)
3. Instructors: .
Dr. Erin Surdo
4. Textbook:
Introduction to Environmental Engineering, Davis & Cornwell, 5th Edition, 2012
a. Other supplemental materials
None
5. Specific Course Information:
a. Brief description of the content of the course (catalog description)
Laboratory-based course focused on physical, chemical, and microbiological
measurements used in analysis of air, water, and solid samples. Applications include
water quality, water treatment, wastewater treatment, hazardous waste
treatment/remediation, air pollution, and environmental sensing.
b. Prerequisites or co-requisites
CEGE 3501
c. Required, elective, or selected elective
Required: EnvE
Selected elective: CE, GeoE
6. Specific Goals for the Course
a. Specific outcomes of instruction
● Ability to use basic laboratory equipment used in the field of environmental
engineering
● Understanding of chemical and microbiological principles used in analysis of air,
water, and solid samples
● Ability to use basic statistics to represent uncertainty in reported data
● Ability to write a formal laboratory report
b. Explicitly indicate which of the student outcomes listed in Criterion 3 or any
other outcomes are addressed by the course.
3. An ability to communicate effectively with a range of audiences
5. An ability to function effectively on a team whose members together provide
leadership, create a collaborative and inclusive environment, establish goals, plan
tasks, and meet objectives
6. An ability to develop and conduct appropriate experimentation, analyze and interpret
data, and use engineering judgment to draw conclusions
7. Brief list of topics to be covered.
Measuring mass and volume in the laboratory
Air quality monitoring
Field sensing and sampling to monitor water quality
Water quality and wastewater treatment parameters
Microbiology and water quality
Pollutant partitioning in air, water, and sediment
Alkalinity, hardness, and water softening
Treatment of surface water for human consumption
Dynamics in a continuous stirred-tank reactor
Diffusion, dispersion, and mass transfer
1. Course Title:
CEGE 4101W: Project Management and Engineering Economics
2. Credit and Contact Hours
3 credit hours
3 contact hours per week (lecture)
3. Instructors:
Dr. Randal Barnes
Dr. Carol Shield, P.E.
4. Textbook:
Project Management: A Systems Approach to Planning, Scheduling, and Controlling, H. Kerzer,
Wiley, 2013.
Civil Engineer's Handbook of Professional Practice, K. Hansen, K. Zenobia, ACE Press, 2011.
a. Other supplemental materials
None
5. Specific Course Information:
a. Brief description of the content of the course (catalog description)
Civil, environmental, and geo- engineering project management. Project planning,
scheduling, and controlling. Project permitting. Financing, bidding, and contracts for
public projects. Budgeting, staffing, task cost control. Critical path method and graphical
project representations. Engineering economics.
b. Prerequisites or co-requisites
Upper division CE, EnvE, GeoE or instructor consent
c. Required, elective, or selected elective
Required: CE, EnvE, GeoE
6. Specific Goals for the Course
a. Specific outcomes of instruction
● Ability to create, represent, and maintain project plans and schedules.
● Ability to identify and characterize project outcomes including project scope, activity
durations and sequencing, timescales, costs, and quality.
● Development of skills and tools necessary to create a variety of necessary project
communication types including professional emails, progress updates, tasks and time
accounting, and oral and written reports throughout the life of the project.
● Understanding of the engineers' roles in managing and leadership for civil,
environmental, and geo- engineering projects.
● Ability to identify and manage risks, issues and dependencies.
● Basic understanding of time value of money, project financing, and project costing
for civil, environmental, and geo- engineering projects.
b. Explicitly indicate which of the student outcomes listed in Criterion 3 or any
other outcomes are addressed by the course.
3. An ability to communicate effectively with a range of audiences
5. An ability to function effectively on a team whose members together provide
leadership, create a collaborative and inclusive environment, establish goals, plan
tasks, and meet objectives
7. An ability to acquire and apply new knowledge as needed, using appropriate learning
strategies
7. Brief list of topics to be covered.
Professional Engagement
The Engineer's Role in Project Development
What Engineers Deliver
Executing a Professional Commission
Project Management
Permitting
The Client Relationship and Business Development
Leadership
Managing the civil, environmental, and geo- engineering enterprise
Engineering Economics
1. Course Title:
CEGE 4102W/4103W/4104W: Capstone Design
2. Credit and Contact Hours
4 credit hours
4 contact hours per week (lecture)
3. Instructors:
Dr. Catherine French, P.E.
Dr. John Gulliver
Dr. Raymond Hozalski, P.E.
Dr. Joseph Labuz, P.E.
Dr. Mihai Marasteanu
Mr. Dennis Martenson, P.E., Pres. ASCE ‘06
Dr. Merry Rendahl
Dr. Otto Strack
Dr. Vaughan Voller
4. Textbook:
No required textbook
a. Other supplemental materials
None
5. Specific Course Information:
a. Brief description of the content of the course (catalog description)
Culmination of the civil, environmental, and geo- engineering coursework and transition
to career. Students work in teams to formulate/solve a design project guided by a
professional engineer (mentor) familiar with the project. The course includes content on
engineering ethics, professional registration and licensure, leadership, business types and
models, project management, public policy, and sustainability.
b. Prerequisites or co-requisites
4102W: CEGE 4101W, CEGE 4301, CEGE 4401, CEGE 4501, CEGE 4502
4103W: CEGE 4101W, CEGE 4501, CEGE 4502, Final semester
4104W: CEGE 4101W, CEGE 4121, CEGE 4311, CEGE 4351, ESCI 4501
c. Required, elective, or selected elective
Required: CE, EnvE, GeoE
6. Specific Goals for the Course
a. Specific outcomes of instruction
● Ability to solve a real-world design problem.
● Understanding of consultant-client relationship.
● Ability to synthesize knowledge from various courses.
● Ability to interact with team members, peers, and consultants.
● Ability to write a professional report.
● Ability to make professional oral presentations.
b. Explicitly indicate which of the student outcomes listed in Criterion 3 or any
other outcomes are addressed by the course.
1. An ability to identify, formulate, and solve complex engineering problems by applying
principles of engineering, science, and mathematics
2. An ability to apply engineering design to produce solutions that meet specified needs
with consideration of (i) public health, (ii) safety, and (iii) welfare, as well as (iv)
global, (v) cultural, (vi) social, (vii) environmental, and (viii) economic factors*
3. An ability to communicate effectively with a range of audiences
4. An ability to recognize ethical and professional responsibilities in engineering
situations and make informed judgments, which must consider the impact of
engineering solutions in global, economic, environmental, and societal contexts
5. An ability to function effectively on a team whose members together provide
leadership, create a collaborative and inclusive environment, establish goals, plan
tasks, and meet objectives
7. An ability to acquire and apply new knowledge as needed, using appropriate learning
strategies
*The factors underlined in Student Outcome 2 are those aspects specifically addressed
by the course
7. Brief list of topics to be covered.
Engineering Ethics
Professional Registration and Licensure
Leadership
Business Types and Models
Project Management
Public Policy
Sustainability
Technical Writing
Presentation skills
1. Course Title:
CEGE 4121: Computer Applications II
2. Credit and Contact Hours
3 credit hours
3 contact hours per week (lecture)
3. Instructors:
Dr. Randal Barnes
Dr. Bojan Guzina
4. Textbook:
All of the “textbooks” for the class are available online for free. No required textbooks to be
purchased for this course.
a. Other supplemental materials
Digital course notes.
5. Specific Course Information:
a. Brief description of the content of the course (catalog description)
Advanced application of computer tools/methods in solving ordinary/partial differential
equations from civil, environmental, and geo- engineering problems. MatLab
programming. Methods may include finite differences, boundary element, finite element,
and control volume finite element.
b. Prerequisites or co-requisites
MATH 2373 or equivalent, MATH 2374 or equivalent
CEGE 3101
Upper division CSE or instructor consent
c. Required, elective, or selected elective
Required: GeoE
Selected elective: CE, EnvE
6. Specific Goals for the Course
a. Specific outcomes of instruction
● Enhanced ability to recognize when a computer-based solution or model is
appropriate for the civil engineering problem at hand.
● Recognition and understanding of basic data structures and common algorithms
appropriate for civil engineering problems.
● Understanding of computer computations; specifically, understanding and controlling
round-off and truncation errors.
● Ability to implement a “test-first” design for engineering programs.
● Creation of enhanced computational toolbox.
● Development of anti-bugging practices.
● Enhanced ability at software debugging.
● Training in team design, implementation, and execution of engineering software.
b. Explicitly indicate which of the student outcomes listed in Criterion 3 or any
other outcomes are addressed by the course.
1. An ability to identify, formulate, and solve complex engineering problems by applying
principles of engineering, science, and mathematics
7. Brief list of topics to be covered.
Spatial interpolation of irregularly spaced data over irregular polygons (e.g. interpolating rainfall
data over a watershed). Multiquadritic interpolation. Bilinear interpolation. Solving large
systems of linear equations.
Shortest route problem and dynamic programming (e.g. for on-board navigation with intelligent
vehicle systems). Dijkstra’s shortest route algorithm.
Constrained least squares (e.g. adjustment of traffic network surveys). Network- based models
and data structures: node-arc incidence matrices.
Computer computations, understanding IEEE 754-2008 floating point numbers. Dealing with
truncation and round-off by choosing wisely, and a bit of math. Series expansions, Horner’s
rule, computational efficiency (e.g. stress singularities).
Computational geometry, numerical integration over irregular shapes (e.g. average rainfall over a
watershed). Point-in-polygon algorithms.
Linear optimization (e.g. mixing and blending); Nonlinear optimization (e.g. model selection
using genetic algorithms).
Nonlinear systems of equations (e.g. large pipe networks).
Monte Carlo simulation and queueing theory (e.g. ramp monitoring); Deterministic simulation
using mechanics (e.g. distinct element modeling).
Solving complex systems of ordinary differential equations; Solving partial differential
equations, finite difference formulations (e.g. the heat equation for modeling thermal stress in
pavements).
Large-scale, complex system optimization (e.g. optimizing a truss).
Stochastic simulation of complex systems (e.g. cell dynamics).
1. Course Title:
CEGE 4190: Engineering Co-op Assignment
2. Credit and Contact Hours
2 to 6 credits
3. Instructors:
Dr. Joseph Labuz, P.E.
4. Textbooks:
No required textbook
a. Other supplemental materials
None
5. Specific Course Information:
a. Brief description of the content of the course (catalog description)
Formal written report of work during six-month professional assignment.
b. Prerequisites or co-requisites
Upper division CE, EnvE, GeoE or instructor consent
c. Required, elective, or selected elective
Selected elective: CE, EnvE, GeoE
6. Specific Goals for the Course
a. Specific outcomes of instruction
● Ability to solve real-world design problems.
● Ability to write a professional report.
b. Explicitly indicate which of the student outcomes listed in Criterion 3 or any
other outcomes are addressed by the course.
1. An ability to identify, formulate, and solve complex engineering problems by applying
principles of engineering, science, and mathematics
3. An ability to communicate effectively with a range of audiences
7. Brief list of topics to be covered.
Professional experience
Writing skills
1. Course Title:
CEGE 4201: Principles of Highway Design
2. Credit and Contact Hours
3 credit hours
3 contact hours per week (lecture)
3. Instructors:
Dr. Gary Davis
4. Textbooks:
Garber, N. and Hoel, L. Traffic and Highway Engineering, 5th edition, Cengage Learning, 2015.
MnDOT Road Design Manual, 2012
a. Other supplemental materials
None
5. Specific Course Information:
a. Brief description of the content of the course (catalog description)
Vertical and horizontal alignment, cross-sections and earthwork computations, roadside
design, highway capacity, impact of vehicle type on geometric design, intersection
design, safety impacts of highway design.
b. Prerequisites or co-requisites
CEGE 3201
Upper division CSE student or instructor consent
c. Required, elective, or selected elective
Selected elective: CE, EnvE, GeoE
Upper division CSE or instructor consent
6. Specific Goals for the Course
a. Specific outcomes of instruction
● Understanding of how vehicle and driver abilities constrain design.
● Ability to lay out and evaluate an initial alignment.
● Ability to apply principles of horizontal alignment.
● Ability to apply principles of vertical alignment.
● Ability to apply principles of horizontal/vertical alignment coordination.
● Ability to apply principles of cross-section design.
● Ability to apply principles of at-grade intersection design.
● Ability to use Highway Safety Manual to assess safety impacts of design.
b. Explicitly indicate which of the student outcomes listed in Criterion 3 or any
other outcomes are addressed by the course.
1. An ability to identify, formulate, and solve complex engineering problems by applying
principles of engineering, science, and mathematics
2. An ability to apply engineering design to produce solutions that meet specified needs
with consideration of (i) public health, (ii) safety, and (iii) welfare, as well as (iv)
global, (v) cultural, (vi) social, (vii) environmental, and (viii) economic factors*
3. An ability to communicate effectively with a range of audiences
*The factors underlined in Student Outcome 2 are those aspects specifically addressed by
the course
7. Brief list of topics to be covered.
Vehicle and driver abilities as design constraints
Initial highway alignment
Horizontal alignment
Vertical Alignment
Highway cross sections
Capacity and level of service
Design of at grade intersections
Safety and highway design
1. Course Title:
CEGE 4211/5211: Traffic Engineering
2. Credit and Contact Hours
3 credit hours
3 contact hours per week (lecture)
3. Instructors:
Dr. Gary Davis
Dr. John Hourdos
Dr. Howard Preston
4. Textbook:
Traffic and Highway Engineering, Garber and Hoel, 5th Edition.
a. Other supplemental materials
MN Manual of Uniform Traffic Control Devices
5. Specific Course Information:
a. Brief description of the content of the course (catalog description)
Principles of vehicle/driver performance as they apply to safe/efficient operation of
highways. Design/use of traffic control devices. Capacity/level of service. Trip
generation, traffic impact analysis. Safety/traffic studies.
b. Prerequisites or co-requisites
CEGE 3201, CEGE 3102 or equivalent
Upper division CSE or instructor consent
c. Required, elective, or selected elective
Selected elective: CE, EnvE, GeoE
6. Specific Goals for the Course
a. Specific outcomes of instruction
● Understanding of the fundamentals of traffic engineering.
● Knowledge of both quantitative and computerized techniques for solving basic traffic
engineering problems.
● Ability to apply the principles of traffic engineering to evaluate, analyze, and design
timing plans for signalized intersections.
● Ability to write a technical report and communicate the results of their solution
approach to other engineering professionals.
b. Explicitly indicate which of the student outcomes listed in Criterion 3 or any
other outcomes are addressed by the course.
1. An ability to identify, formulate, and solve complex engineering problems by applying
principles of engineering, science, and mathematics
5. An ability to function effectively on a team whose members together provide
leadership, create a collaborative and inclusive environment, establish goals, plan
tasks, and meet objectives
6. An ability to develop and conduct appropriate experimentation, analyze and interpret
data, and use engineering judgment to draw conclusions
7. Brief list of topics to be covered.
Vehicle/Driver Performance
Highway Sight distance
Intersection Sight Distance
Probability and Statistics Review
Traffic Flow Theory
Freeway Operations
Freeway Level-of-Service
Traffic Control Devices
Un-signalized Intersection Capacity
Signalized Intersection Control
Signalized Intersection Capacity and LOS
Actuated Signals
Introduction to Roundabout design and control
Traffic Analysis Tools
HCM and Synchro methodologies Introduction
Safety Improvement Programming
Analysis of Individual Accidents
1. Course Title:
CEGE 4253: Pavement Engineering and Management
2. Credit and Contact Hours
3 credit hours
3 contact hours per week (lecture)
3. Instructors:
Dr. Mihai Marasteanu
4. Textbook:
No required textbook
a. Other supplemental materials
None
5. Specific Course Information:
a. Brief description of the content of the course (catalog description)
History of road construction. Asphalt pavement. Portland cement concrete pavement
construction. Construction technologies. Maintaining flexible/rigid pavement systems.
Manual/automated assessment. Definitions of performance. Optimization.
b. Prerequisites or co-requisites
CEGE 3201, CEGE 3301, CEGE 3402
Upper division CSE, grad student, or instructor consent
c. Required, elective, or selected elective
Selected elective: CE, EnvE, GeoE
6. Specific Goals for the Course
a. Specific outcomes of instruction
● Understanding of pavement design and construction issues that significantly affect the
performance and durability of pavements.
● Ability to identify these issues and design construction process to prevent
performance and durability problems from taking place.
● Understanding of the main concepts in pavement management and how to measure
and assess road conditions.
● Knowledge of the maintenance and rehabilitation techniques available.
● Understanding of pavement performance models, life cycle analysis, and how they
are used to design pavement management systems.
● Ability to evaluate case studies in pavement management.
b. Explicitly indicate which of the student outcomes listed in Criterion 3 or any
other outcomes are addressed by the course.
1. An ability to identify, formulate, and solve complex engineering problems by applying
principles of engineering, science, and mathematics
2. An ability to apply engineering design to produce solutions that meet specified needs
with consideration of (i) public health, (ii) safety, and (iii) welfare, as well as (iv)
global, (v) cultural, (vi) social, (vii) environmental, and (viii) economic factors*
3. An ability to communicate effectively with a range of audiences
*The factors underlined in Student Outcome 2 are those aspects specifically addressed by
the course
7. Brief list of topics to be covered.
Introduction, pavement history, pavement types, traffic
Flexible/rigid pavements structure, subgrade materials testing, resilient modulus
Shrinking, swelling, frost heave, thaw weakening, mitigating frost action
Soil stabilization – full depth reclamation & rubblization, stabilization methods in MN
Aggregate sources and production, mineral properties
Chemical, physical, and other aggregate properties
PCC pavements, Portland cement and concrete review
Plant operations, transport, steel placement, general construction procedure
Fixed form and slip form paving, joints
Rigid pavements distresses, maintenance, and rehabilitation
Asphalt pavements, asphalt binder and asphalt mixtures review
Surface preparation, asphalt mixture production and transport
Asphalt mixture placement and compaction
Asphalt mixture construction problems
Flexible pavements distresses, maintenance, and rehabilitation
Use of recycled materials, warm mix asphalt
Introduction to Pavement Management, condition assessment data
Roughness, surface friction, deflection measurements, surface distresses
Pavement Condition Index (PCI), predicting deterioration
Rehabilitation and maintenance strategies
Needs analysis, selection when funds are constrained
Time value of money, LCCA
Life cycle cost analysis, FHWA – LCCA in Pavement Design
Environmental effects and LCA
MnDOT pavement management system
1. Course Title:
CEGE 4301: Soil Mechanics II
2. Credit and Contact Hours
3 credit hours
3 contact hours per week (lecture) + laboratory
3. Instructors:
Dr. Emmanuel Detournay
Dr. Stefano Gonella
Dr. Joseph Labuz, P.E.
4. Textbook:
Soil Mechanics, A. Verruijt, 2012. http://geo.verruijt.net/software/SoilMechBook2012.pdf
a. Other supplemental materials
Soil Mechanics in Engineering Practice, Terzaghi, Peck, Mesri, 1996.
Soil Mechanics, R. F. Craig, 2004.
Fundamentals of Geotechnical Engineering, B. M. Das, 2005.
5. Specific Course Information:
a. Brief description of the content of the course (catalog description)
Traction and stress. Mohr-Coulomb failure criterion. Experiments on soil strength. Earth
pressure theories, rigid/flexible retaining walls. Stability of slopes. Bearing capacity of
foundations.
b. Prerequisites or co-requisites
CEGE 3301
Upper division CSE or instructor consent
c. Required, elective, or selected elective
Required: CE
Selected elective: EnvE, GeoE
6. Specific Goals for the Course
a. Specific outcomes of instruction
● Ability to use principles of solid mechanics to describe Mohr-Coulomb failure
criterion.
● Ability to measure mechanical behavior, evaluate data, and write reports.
● Ability to apply earth pressure theory to design rigid and flexible retaining walls.
● Ability to apply limit equilibrium to evaluate stability of slopes.
● Ability to apply bearing capacity theory to design a shallow foundation.
● Ability to analyze various options for design of a geotechnical structure.
b. Explicitly indicate which of the student outcomes listed in Criterion 3 or any
other outcomes are addressed by the course.
1. An ability to identify, formulate, and solve complex engineering problems by applying
principles of engineering, science, and mathematics
2. An ability to apply engineering design to produce solutions that meet specified needs
with consideration of (i) public health, (ii) safety, and (iii) welfare, as well as (iv)
global, (v) cultural, (vi) social, (vii) environmental, and (viii) economic factors*
3. An ability to communicate effectively with a range of audiences
6. An ability to develop and conduct appropriate experimentation, analyze and interpret
data, and use engineering judgment to draw conclusions
*The factors underlined in Student Outcome 2 are those aspects specifically addressed by
the course
7. Brief list of topics to be covered.
Subsurface exploration
State of stress; normal and shear stresses
Mohr’s circle; concept of the pole
Shear strength: Mohr-Coulomb failure criterion
Direct shear test
Triaxial compression test
Undrained (uniaxial) compression test
Lateral earth pressure—Rankine theory
Rigid retaining walls
Sheet pile walls
Limit equilibrium—Coulomb theory
Slope stability
Shallow foundations
Bearing capacity
Deep foundations
1. Course Title:
CEGE 4311: Rock Mechanics
2. Credit and Contact Hours
4 credit hours
4 contact hours per week (lecture) + laboratory
3. Instructors:
Dr. Emmanuel Detournay
Dr. Joseph Labuz, P.E.
4. Textbook:
Introduction to Rock Mechanics, R. E. Goodman, 1989.
Practical Rock Engineering: course notes, E. Hoek, 2007.
a. Other supplemental materials
Rock Mechanics for Underground Mining, Brady and Brown, 2006.
Tunnels and Shafts in Rock, Corps of Engineers, 1997.
Fundamentals of Rock Mechanics, Jaeger, Cook, and Zimmerman, 2007.
5. Specific Course Information:
a. Brief description of the content of the course (catalog description)
Site investigation/classification. In-situ stresses. Strength/failure criteria of
rock/interfaces. Stereographic projections. Kinematic analysis of rock slopes. Block
size/stability. Reinforcement. Methods of stress analysis. Pillar design, stiffness effects.
Elastoplastic analysis. Rock-support interaction. Numerical modeling of support systems.
Lab testing of rock.
b. Prerequisites or co-requisites
CEGE 3301
Upper division CSE or instructor consent
c. Required, elective, or selected elective
Required: GeoE
Selected elective: CE, EnvE
6. Specific Goals for the Course
a. Specific outcomes of instruction
● Ability to use the basic principles of elasticity and plasticity to describe mechanical
behavior.
● Ability to measure index properties, evaluate experimental data, and write a report.
● Ability to apply vector analysis to slope problems and design support for a slope.
● Experience in using numerical modeling to analyze excavations.
● Ability to apply numerical modeling to a tunnel problem and evaluate support
conditions.
b. Explicitly indicate which of the student outcomes listed in Criterion 3 or any
other outcomes are addressed by the course.
2. An ability to apply engineering design to produce solutions that meet specified needs
with consideration of (i) public health, (ii) safety, and (iii) welfare, as well as (iv)
global, (v) cultural, (vi) social, (vii) environmental, and (viii) economic factors*
6. An ability to develop and conduct appropriate experimentation, analyze and interpret
data, and use engineering judgment to draw conclusions
*The factors underlined in Student Outcome 2 are those aspects specifically addressed by
the course
7. Brief list of topics to be covered.
Stress vector and stress state; Mohr’s circle
Planes of weakness; Coulomb friction
Shear strength of joints and rock; Mohr-Coulomb failure
Mechanical response of rock; index properties
Uniaxial and triaxial compression tests; elasto-plastic behavior
Sampling rock (RQD); geological data (strike and dip)
Stereographic projections; limit equilibrium of blocks; Stereonets and DIPS
Kinematic analysis of blocks
Vector operations; cone of friction
3D stability of blocks; generalized cone of friction
Bolt force; water pressure
Block size and SWEDGE
Tunneling: methods, equipment and support systems
Lame solution, Kirsch solution; Elasto-plastic analysis of Lame problem
Numerical modeling of excavation, PHASE2
Support systems; Ground reaction and support characteristic curves
Convergence-confinement method; stress analysis of support
Shallow tunnel
Rock mass classification systems
1. Course Title:
CEGE 4351: Groundwater Mechanics
2. Credit and Contact Hours
3 credit hours
3 contact hours per week (lecture)
3. Instructors:
Dr. Otto Strack
4. Textbook:
Applied Groundwater Mechanics, O.D.L. Strack, Cambridge University Press, 2017; provided
for free to the students in pdf form, by permission.
a. Other supplemental materials
Class notes are all written on a tablet, are projected on screen during class time and are e-
mailed to the students in pdf form
5. Specific Course Information:
a. Brief description of the content of the course (catalog description)
Shallow confined, unconfined, and semi-confined flows. Flow in two coupled aquifers
separated by leaky layers. Transient flow. Flow toward wells. Streamlines/path lines in
two/three dimensions. Contaminant transport. Elementary computer modeling.
b. Prerequisites or co-requisites
CEGE 3101 or BBE 2003, CEGE 3502 or BBE 3012
Upper division CSE or instructor consent
c. Required, elective, or selected elective
Required: GeoE
Selected elective: CE, EnvE
6. Specific Goals for the Course
a. Specific outcomes of instruction
● Understanding of the basic equations and principles that govern groundwater flow.
● Knowledge of the natural occurrences of groundwater and the types of flow that occur
in aquifer systems.
● Ability to estimate aquifer properties from field observations.
● Ability to solve groundwater flow problems involving rivers and well fields.
● Ability to solve problems of transient groundwater flow, involving rivers and well
fields.
● Ability to solve groundwater flow problems involving leakage from surface water
bodies into aquifers.
● Ability to complete one groundwater modeling project taken from consulting practice
and report the findings in a formal report.
b. Explicitly indicate which of the student outcomes listed in Criterion 3 or any
other outcomes are addressed by the course.
1. An ability to identify, formulate, and solve complex engineering problems by applying
principles of engineering, science, and mathematics
7. Brief list of topics to be covered.
Introduction into groundwater flow; illustration by practical observations stressing the
importance of groundwater as a resource and explanation of the term “groundwater mining”
Definition of piezometric head, pressure, specific discharge. Darcy’s law and mass balance
The governing partial differential equation
Shallow confined flow
Discharge potential for uniform flow and wells
Shallow unconfined flow
Combined confined/unconfined flow
Infiltration from rainfall
Infiltration through the bottoms of circular and linear surface water bodies
Application of elementary solutions to problems involving wells and rivers
Capture zones of wells
Semi-confined flow; flow underneath dams
Flow to well fields near rivers for semi-confined flow
Derivation of the equations governing the inter action between rivers and aquifers
Transient flow with wells
Principles of groundwater modeling
Designing well fields for groundwater withdrawal and contaminant removal
1. Course Title:
CEGE 4352: Groundwater Modeling
2. Credit and Contact Hours
3 credit hours
3 contact hours per week (lecture)
3. Instructors:
Dr. Otto Strack
4. Textbook:
Applied Groundwater Mechanics, O.D.L. Strack, Cambridge University Press, 2017; provided
for free to the students in pdf form, by permission.
a. Other supplemental materials
Class notes are all written on a tablet, are projected on screen during class time and are e-
mailed to the students in pdf form
5. Specific Course Information:
a. Brief description of the content of the course (catalog description)
Analytic element method. Mathematical/computer modeling of single/multiple aquifer
systems. Groundwater recovery. Field problems. Theory/application of simple
contaminant transport models, including capture zone analysis.
b. Prerequisites or co-requisites
CEGE 4351
Upper division CSE or graduate student or instructor consent
c. Required, elective, or selected elective
Selected elective: CE, EnvE, GeoE
6. Specific Goals for the Course
a. Specific outcomes of instruction
● Ability to create a conceptual model for a groundwater flow problem.
● Ability to use solutions presented in the text to solve practical problems by
implementing them in Matlab®.
● Ability to design pump-out systems for contaminant removal using wells.
● Ability to gather data necessary for the modeling of regional single-layer aquifers
involving rivers, lakes and wells.
● Ability to calibrate a groundwater model using field data; knowledge of field data
necessary for this purpose.
● Ability to model the effect of inhomogeneities on flow in aquifers, understanding of
their role and development of the ability to create the simplest model possible to
answer stated question(s).
● Understanding of the contemporary issues associated with groundwater management
and groundwater as a resource, e.g., for agriculture.
b. Explicitly indicate which of the student outcomes listed in Criterion 3 or any
other outcomes are addressed by the course.
1. An ability to identify, formulate, and solve complex engineering problems by applying
principles of engineering, science, and mathematics
7. Brief list of topics to be covered.
Modeling groundwater flow analytically using programs to be written by the students in
Matlab®.
Formulation of two-dimensional groundwater flow in terms of complex variables.
The complex potential, the potential and the stream function.
Modeling project: determining capture zones for wells operating in a problem of contaminant
removal.
Capture zone analysis and contaminant capture.
Modeling and understanding the effect of inhomogeneities, in particular their effect on the
pumping rates of wells.
Line-sinks and their application to model aquifers with rivers and lakes.
Complex functions suitable for modeling infiltration in areas bounded by polygons; implement in
Matlab®.
Waste isolation in aquifers.
Modeling project: modeling a regional aquifer systems with wells, lakes, rivers and infiltration
using the analytic method, implemented by the students in Matlab®. Present the results in an
oral 15 minute presentation, which counts as the final examination.
1. Course Title:
CEGE 4401: Steel and Reinforced Concrete Design
2. Credit and Contact Hours
4 credit hours
4 contact hours per week (lecture), 1 contact hour per week (recitation)
3. Instructors:
Dr. Catherine French, P.E.
Dr. Lauren Linderman
Dr. Carol Shield, P.E.
4. Textbook:
Steel Construction Manual, 15th edition, American Institute of Steel Construction, 2016.
Building Code Requirements for Structural Concrete (318-14) and Commentary (318R-14),
American Concrete Institute, 2014.
a. Other supplemental materials
Steel Design, William Segui, 2007.
Reinforced Concrete – Mechanics and Design2, James Wight and James MacGregor,
2011.
Course packets created by instructors available on website.
5. Specific Course Information:
a. Brief description of the content of the course (catalog description)
Limit-states design. Steel: tension, compression, flexure, combined compression/flexure,
connections. Reinforced concrete: beams (rectangular, T-sections, doubly reinforced) in
flexure/shear, one-way slabs, serviceability, development length, reinforcement detailing,
short columns.
b. Prerequisites or co-requisites
CEGE 3401
CEGE 3402 (co-requisite)
Upper division CSE or instructor consent
c. Required, elective, or selected elective
Required: CE
Selected elective: EnvE, GeoE
6. Specific Goals for the Course
a. Specific outcomes of instruction
● Ability to identify critical load combinations required for member design.
● Ability to design steel tension member.
● Ability to determine capacity of steel flexural member.
● Ability to determine capacity of steel column.
● Ability to design singly reinforced concrete beam for flexure.
● Ability to determine shear capacity of reinforced concrete beam.
● Ability to determine capacity of reinforced concrete column.
b. Explicitly indicate which of the student outcomes listed in Criterion 3 or any
other outcomes are addressed by the course.
1. An ability to identify, formulate, and solve complex engineering problems by applying
principles of engineering, science, and mathematics
2. An ability to apply engineering design to produce solutions that meet specified needs
with consideration of (i) public health, (ii) safety, and (iii) welfare, as well as (iv)
global, (v) cultural, (vi) social, (vii) environmental, and (viii) economic factors*
*The factors underlined in Student Outcome 2 are those aspects specifically addressed by
the course
7. Brief list of topics to be covered.
Introduction, Loads
Steel: Tension Members
Steel: Connections
Steel: Compression Members
Steel: Beams
Steel: Beam-Columns and Frames
Reinforced Concrete: Materials
Reinforced Concrete: Beams and One-way Slabs: Flexure
Reinforced Concrete: Beams: Serviceability
Reinforced Concrete: Beams: Shear
Reinforced Concrete: Beams: Development length
Reinforced Concrete: Short Columns
1. Course Title:
CEGE 4411: Matrix Structural Analysis
2. Credit and Contact Hours
3 credit hours
3 contact hours per week (lecture)
3. Instructors:
Dr. Henryk Stolarski
4. Textbook:
Matrix Structural Analysis, W. McGuire, R. H. Gallagher, and R. D. Ziemian, 2014.
a. Other supplemental materials
None
5. Specific Course Information:
a. Brief description of the content of the course (catalog description)
Analysis of linear structural systems by matrix methods, stiffness, and flexibility
methods. Introduction to computerized structural analysis of trusses/frames, including
coding.
b. Prerequisites or co-requisites
CEGE 3101, CEGE 3401
Upper division CSE or instructor consent
c. Required, elective, or selected elective
Selected elective: CE, EnvE, GeoE
6. Specific Goals for the Course
a. Specific outcomes of instruction
● Understanding of the energy-based flexibility approaches and matrix-based stiffness
approaches to structural analysis.
● Ability to determine deflections and forces in statically determinate and indeterminate
structures using the matrix stiffness method.
● Understanding of the physical interpretation of stiffness matrices and use of this
interpretation to assemble the stiffness matrix by hand.
● Ability to compute deflections and rotations, internal forces and moments, and
reactions in trusses, beams and frames.
● Ability to develop and use computer programs which implement the direct stiffness
method to analyze and design simple structural systems.
b. Explicitly indicate which of the student outcomes listed in Criterion 3 or any
other outcomes are addressed by the course.
1. An ability to identify, formulate, and solve complex engineering problems by applying
principles of engineering, science, and mathematics
7. Brief list of topics to be covered.
Overview of Matrix Structural Analysis
Matrix Algebra
Plane Trusses
Computer Program for Plane Trusses
Beams
Computer Program for Beams
Plane Frames
Computer Program for Frames
Member Releases and Secondary Effects
Three-dimensional Structures (space trusses, grids, and space frames)
1. Course Title:
CEGE 4412: Reinforced Concrete II
2. Credit and Contact Hours
3 credit hours
3 contact hours per week (lecture)
3. Instructors:
Dr. Arturo Schultz
4. Textbook (one of the following):
Reinforced Concrete: Mechanics and Design, Wight, 7th Edition, 2016.
Design of Concrete Structures, Darwin, Dolan and Nilson, 15th Edition, 2015.
a. Other supplemental materials
Building Code Requirements for Structural Concrete (318-14) and Commentary (318R-
14), American Concrete Institute, 2014.
5. Specific Course Information:
a. Brief description of the content of the course (catalog description)
Advanced design of reinforced concrete structures: footings, columns with slenderness
effects and biaxial loading, torsion, continuous systems, two-way floor systems.
b. Prerequisites or co-requisites
CEGE 4401
Upper division CSE or graduate student or instructor consent
c. Required, elective, or selected elective
Selected elective: CE, EnvE, GeoE
6. Specific Goals for the Course
a. Specific outcomes of instruction
● Understanding, at a qualitative level, the complete flow of forces from gravity loads
in reinforced concrete buildings.
● Ability to analyze and design continuous one-way floor systems including slab-beam-
girder floors and concrete joist floors.
● Ability to analyze and design two-way concrete floor systems using the Direct Design
and Equivalent Frame Methods, as well as modern computer software (e.g.,
SAP2000).
● Understanding the mechanics of torsion in reinforced concrete beams and apply
contemporary principles for their design.
● Ability to analyze and design concrete columns under compression and biaxial
loading.
● Ability to analyze and design slender concrete columns, both sway and non-sway,
using contemporary methods.
● Ability to conduct the analysis and design of the floor system for a reinforced
concrete building, prepare a report documenting the design, and make an oral
presentation highlighting the most important aspects of the project.
b. Explicitly indicate which of the student outcomes listed in Criterion 3 or any
other outcomes are addressed by the course.
1. An ability to identify, formulate, and solve complex engineering problems by applying
principles of engineering, science, and mathematics
2. An ability to apply engineering design to produce solutions that meet specified needs
with consideration of (i) public health, (ii) safety, and (iii) welfare, as well as (iv)
global, (v) cultural, (vi) social, (vii) environmental, and (viii) economic factors*
3. An ability to communicate effectively with a range of audiences
*The factors underlined in Student Outcome 2 are those aspects specifically addressed by
the course
7. Brief list of topics to be covered.
Introduction, design process
Continuous beams and one-way slabs
Modeling and analysis of concrete buildings
Continuous slab-beam-girder floor system
Joist floor systems
Two-way floor systems-Direct Design Method
Two-way floor systems-Equivalent Frame Method
Shear strength of two-way floor systems
Unbalanced moment transfer in two-way floor systems
Biaxially-loaded columns
Slender columns
Torsion in beams
Spread footings
1. Course Title:
CEGE 4413: Steel Design II
2. Credit and Contact Hours
3 credit hours
3 contact hours per week (lecture)
3. Instructors:
Dr. Jialiang Le, P.E.
4. Textbook:
Steel Structures Design and Behavior, Salmon, Johnson, and Malhas, 2009.
Steel Construction Manual, 15th edition, American Institute of Steel Construction, 2016.
a. Other supplemental materials
None
5. Specific Course Information:
a. Brief description of the content of the course (catalog description)
Design of steel and composite steel/concrete structures, including composite beams, plate
girders, beam-columns, connections and multi-story frames.
b. Prerequisites or co-requisites
CEGE 4401
Upper division CSE or graduate student or instructor consent
c. Required, elective, or selected elective
Selected elective: CE, EnvE, GeoE
6. Specific Goals for the Course
a. Specific outcomes of instruction
● Understanding of the AISC Steel Construction Manual from the fundamental
principles of mechanics.
● Ability to design individual structural members and components, which include
composite beams, plate girders, beam columns, and connections.
● Ability to design multi-story steel structures by using computer structural analysis
software.
● Familiarity with the model simplification for the design of large-scale steel structures.
● Understanding of the iterative design process to reach an optimum design solution.
b. Explicitly indicate which of the student outcomes listed in Criterion 3 or any
other outcomes are addressed by the course.
1. An ability to identify, formulate, and solve complex engineering problems by applying
principles of engineering, science, and mathematics
2. An ability to apply engineering design to produce solutions that meet specified needs
with consideration of (i) public health, (ii) safety, and (iii) welfare, as well as (iv)
global, (v) cultural, (vi) social, (vii) environmental, and (viii) economic factors*
5. An ability to function effectively on a team whose members together provide
leadership, create a collaborative and inclusive environment, establish goals, plan
tasks, and meet objectives
*The factors underlined in Student Outcome 2 are those aspects specifically addressed by
the course
7. Brief list of topics to be covered.
Design of composite beams
Buckling analysis
Design of plate girders
Second-order analysis
Design of multi-story frames
Design of shear connections
Design of moment connections
1. Course Title:
CEGE 4416/5416: Sensors in Infrastructure
2. Credit and Contact Hours
3 credit hours
3 contact hours per week (lecture)
3. Instructors:
Dr. Lauren Linderman
4. Textbook:
Holman J. Experimental Methods for Engineers, 8th Edition
Shukla, A., Dally, J.W. Instrumentation and Sensors for Engineering Measurements and Process
Control. ISBN 978-1-935673-06-4
a. Other supplemental materials
None
5. Specific Course Information:
a. Brief description of the content of the course (catalog description)
As sensors become part of practice in CEGE fields, an understanding of instrumentation
and their application to engineering problems becomes essential. This course will
highlight the interdisciplinary nature of using sensors in engineering applications and how
previous coursework can be applied. The sensors covered will range from mechanical
measurements (e.g. strain, displacement, and acceleration) to environmental
measurements (e.g. temperature, oxygen concentration, and wind speed), non-destructive
techniques, and embedded computing using Arduino® nodes. In addition to class lectures,
instruments and data acquisition will be explored in lab experiments.
b. Prerequisites or co-requisites
CEGE 3402
AEM 3031
Upper division CSE or graduate student or instructor consent
c. Required, elective, or selected elective
Selected elective: CE, EnvE, GeoE
6. Specific Goals for the Course
a. Specific outcomes of instruction
● Development of an understanding of how sensors work, their limitations, and the concept of direct and indirect measurement.
● Application of classroom knowledge to simple laboratory experiments using
appropriate data acquisition techniques.
● Preparation for selecting sensor systems to solve engineering problems in CEGE fields
b. Explicitly indicate which of the student outcomes listed in Criterion 3 or any
other outcomes are addressed by the course.
1. An ability to identify, formulate, and solve complex engineering problems by applying
principles of engineering, science, and mathematics
6. An ability to develop and conduct appropriate experimentation, analyze, and interpret
data, and use engineering judgement to draw conclusions
7. An ability to acquire and apply new knowledge as needed, using appropriate learning
strategies.
7. Brief list of topics to be covered.
Experimental Uncertainty
Direct vs. Indirect Measurement
Data Acquisition
Measurement of Deformation
Measurement of Condition
Measurement of Applications
1. Course Title:
CEGE 4501: Hydrologic Design
2. Credit and Contact Hours
4 credit hours
3.0 contact hours per week -lecture
1.5 contact hours per week-recitation
3. Instructors:
Dr. Ardeshir Ebtehaj
Dr. Xue Feng
4. Textbook:
Water Resources Engineering, L.W. Mays, 2010
a. Other supplemental materials
Course website
5. Specific Course Information:
a. Brief description of the content of the course (catalog description)
Hydrologic cycle: precipitation, evaporation, infiltration runoff. Flood routing through
rivers and reservoirs. Statistical analysis of hydrologic data and estimation of design
flows. Open channel flow, flow through conduits. Detention basin design, hydraulic
structure sizing, estimation of risk of flooding.
b. Prerequisites or co-requisites
CEGE 3502
c. Required, elective, or selected elective
Required: CE, EnvE
Selected elective: GeoE
6. Specific Goals for the Course
a. Specific outcomes of instruction
● Understanding of the hydrologic cycle and its primary components.
● Ability to quantitatively estimate the magnitude of hydrologic processes.
● Determination of hydrologic design events using probability and statistics.
● Basic understanding of open channel hydraulics, uniform flow, critical depth and
gradually varied flow.
b. Explicitly indicate which of the student outcomes listed in Criterion 3 or any
other outcomes are addressed by the course.
1. An ability to identify, formulate, and solve complex engineering problems by applying
principles of engineering, science, and mathematics
2. An ability to apply engineering design to produce solutions that meet specified needs
with consideration of (i) public health, (ii) safety, and (iii) welfare, as well as (iv)
global, (v) cultural, (vi) social, (vii) environmental, and (viii) economic factors*
*The factors underlined in Student Outcome 2 are those aspects specifically addressed by
the course
7. Brief list of topics to be covered.
Introduction to the Course and Course Policies
Hydrologic Cycle and Water budget
Precipitation
Evaporation and Transpiration
Infiltration
Measurement of surface runoff
Surface runoff and stream-flow
Unit hydrographs
Synthetic UH
Hydrologic routing and river routing
Probability and statistics in hydrology
Frequency analyses
Design storm and design flow
Principles of open channel hydraulics
Critical depth
Uniform flow
Canal Design
Gradually varied flow
Culvert Design
1. Course Title:
CEGE 4502: Water and Wastewater Treatment
2. Credit and Contact Hours
3 credit hours
3 contact hours per week (lecture)
3. Instructors:
Dr. Raymond Hozalski, P.E.
Dr. Timothy LaPara, P.E.
4. Textbook:
Water and Wastewater Engineering: Design Principles and Practice, Davis, M.L. 2011.
a. Other supplemental materials
None
5. Specific Course Information:
a. Brief description of the content of the course (catalog description)
Theory and design of physical, chemical, and biological processes for the treatment of
water and wastewater.
b. Prerequisites or co-requisites
CEGE 3501 or CHEN 2001 or BBE 3033
c. Required, elective, or selected elective
Required: CE, EnvE
Selected elective: GeoE
6. Specific Goals for the Course
a. Specific outcomes of instruction
● Understanding of the characteristics of surface water, groundwater, and municipal
wastewater and how these impact the design of water and wastewater treatment
facilities.
● Ability to estimate the expected flow requirements for water/wastewater utilities and
how to estimate population growth.
● Ability to design individual unit operations for the purpose of providing potable and
palatable drinking water.
● Ability to design individual unit operations for the purpose of proving wastewater
treatment for the purpose of minimizing the impact on surface water quality.
● Ability to design an integrated wastewater treatment process, incorporating an
iterative design approach that accounts for internal recycle streams.
● Understanding of the contemporary issues associated with municipal wastewater
solids and their ultimate disposal.
b. Explicitly indicate which of the student outcomes listed in Criterion 3 or any
other outcomes are addressed by the course.
1. An ability to identify, formulate, and solve complex engineering problems by applying
principles of engineering, science, and mathematics
2. An ability to apply engineering design to produce solutions that meet specified needs
with consideration of (i) public health, (ii) safety, and (iii) welfare, as well as (iv)
global, (v) cultural, (vi) social, (vii) environmental, and (viii) economic factors*
*The factors underlined in Student Outcome 2 are those aspects specifically addressed by
the course
7. Brief list of topics to be covered.
Introduction / History / Regulations
Wastewater Characteristics
Overview of Wastewater Treatment
Preliminary Treatment; Primary Treatment (Sedimentation)
Overview of Microbiology
Suspended growth biological treatment
Principles of biological treatment
Activated Sludge
Aeration
Secondary Clarifier Design
Nutrient removal
Attached Growth (Biofilm) Processes
Biosolids handling and treatment / Alternative Treatment
Water Sources and Water Quality
Overview of Water Treatment
Mixing, Flow measurement
Coagulation; Softening; Flocculation; Sedimentation
Filtration; Membrane Filtration
Adsorption
Disinfection
1. Course Title:
CEGE 4511: Hydraulic Structures
2. Credit and Contact Hours
3 credit hours
3 contact hours per week (lecture)
3. Instructors:
Dr. Omid Mohseni, P.E.
4. Textbook:
Hydraulic Structures, Novak et al., 2007.
a. Other supplemental materials
Open Channel Hydraulics, Van Te Chow, 1959
Design of Small Dams, US Bureau of Reclamation
Dam Hydraulics, D. L. Vischer, 1998
US Army Corps of Engineers Engineering Manuals
5. Specific Course Information:
a. Brief description of the content of the course (catalog description)
Hydraulic design procedures for culverts, dams, spillways, outlet works, and river control
works. Drop structures, water intakes, bridge crossings.
b. Prerequisites or co-requisites
CEGE 4501
Upper division CSE or graduate student or instructor consent
c. Required, elective, or selected elective
Selected elective: CE, EnvE, GeoE
6. Specific Goals for the Course
a. Specific outcomes of instruction
● Ability to apply conservation of mass, momentum and energy principles to open
channel flow and closed conduit problems.
● Understanding of hydrologic and hydraulic design aspects of earthen and concrete
dams,
● Ability to design and analyze outlet structures (spillways), energy dissipaters (stilling
basins) and control structures (gates).
● Ability to design and analyze intakes and diversion systems using the concepts of
pipe flow and gradually varied flow conditions.
● Understanding of the principles of physical model studies.
b. Explicitly indicate which of the student outcomes listed in Criterion 3 or any
other outcomes are addressed by the course.
1. An ability to identify, formulate, and solve complex engineering problems by applying
principles of engineering, science, and mathematics
2. An ability to apply engineering design to produce solutions that meet specified needs
with consideration of (i) public health, (ii) safety, and (iii) welfare, as well as (iv)
global, (v) cultural, (vi) social, (vii) environmental, and (viii) economic factors*
*The factors underlined in Student Outcome 2 are those aspects specifically addressed by
the course
7. Brief list of topics to be covered.
Review of open channel flow
Flow analysis in closed conduits and culverts, and culvert design
Introduction to earthen and concrete dams and levees
Probable maximum precipitation (PMP), PMF, SPF and IDF
Hydraulic design and analysis of ogee spillways, and other spillways such as morning glory,
siphon spillways, stepped spillways, side channels and labyrinth spillways
Hydraulic analysis of stilling basins and drop structures
Drop shafts
Intakes and bottom outlets
Gates and hydraulic analysis of vertical and tainter gates
Cavitation and aeration
Diversion systems
Fish passage
Scour analysis downstream of hydraulic structures
Waves
Estimating freeboard
Riprap protection and bioengineering techniques
Physical model studies
1. Course Title:
CEGE 4512: Open Channel Hydraulics
2. Credit and Contact Hours
4 credit hours
4 contact hours per week (lecture)
3. Instructors:
Dr. Michele Guala
Dr. Omid Mohseni, P.E.
4. Textbook:
Open channel hydraulics, T. Sturm, 2010.
a. Other supplemental materials
None
5. Specific Course Information:
a. Brief description of the content of the course (catalog description)
Theories of flow in open channels, including gradually varied and rapidly varied flows,
steady and unsteady flows. Computational methods for unsteady open channel flows,
applications to flood routing. Introduction to moveable bed mechanics.
b. Prerequisites or co-requisites
CEGE 3502
Upper division CSE or graduate student or instructor consent
c. Required, elective, or selected elective
Selected elective: CE, EnvE, GeoE
6. Specific Goals for the Course
a. Specific outcomes of instruction
● Understanding of the characteristics of natural and built open channel hydraulic
systems.
● Understanding of how different structures are designed for controlling water surface
profile along a channel.
● Ability to apply energy and momentum equation to model specific flow conditions
typical of open channel hydraulics.
● Ability to design a set of hydraulic structures in a real river at a given discharge using
HecRas.
● Understanding of the contemporary issues associated with sediment transport and
morphodynamic stability of a river.
b. Explicitly indicate which of the student outcomes listed in Criterion 3 or any
other outcomes are addressed by the course.
1. An ability to identify, formulate, and solve complex engineering problems by applying
principles of engineering, science, and mathematics
2. An ability to apply engineering design to produce solutions that meet specified needs
with consideration of (i) public health, (ii) safety, and (iii) welfare, as well as (iv)
global, (v) cultural, (vi) social, (vii) environmental, and (viii) economic factors*
4. An ability to recognize ethical and professional responsibilities in engineering
situations and make informed judgments, which must consider the impact of
engineering solutions in global, economic, environmental, and societal contexts
7. An ability to acquire and apply new knowledge as needed, using appropriate learning
strategies
*The factors underlined in Student Outcome 2 are those aspects specifically addressed by
the course
7. Brief list of topics to be covered.
Basic principles
Specific energy and critical depth
Momentum (hydraulic jumps, stilling basins, surges and bridge piers)
Uniform flows
Turbulence and flow resistance
Friction coefficient
Gravity sewer
Compound channels
Gradually varying flow
Water surface profile (classification and computation)
Hydraulic structures
Spillways, culverts, bridges
Governing equation of unsteady flow
HecRas modeling in gradually varying flows
Simplified methods of flow routing
Flow in alluvial channels
Basics of sediment transport
1. Course Title:
CEGE 4513/5513: Energy Conversion
2. Credit and Contact Hours
3 credit hours
3 contact hours per week (lecture)
3. Instructors:
Dr. Michele Guala
4. Textbook:
Renewable and efficient electric power systems, Gilbert M. Masters, Second Edition
Wind Energy Handbook 2nd Edition by Tony Burton, Nick Jenkins, David Sharpe, Ervin
Bossanyi, Wiley
a. Other supplemental materials
None
5. Specific Course Information:
a. Brief description of the content of the course (catalog description)
Resource assessment devoted to quantify the available energy in the environment (wind,
rivers, and sun). Each energy resource module will include basic economic principles and
assumption enabling the quantification of the efficiency and the cost of energy
transformation, as well as an estimate of environmental effects (when possible). Focus
will also be on the details on wind, streams, wave, and solar powers using conservation
equations and basic principles of thermodynamics and fluid mechanics.
b. Prerequisites or co-requisites
CEGE 3502 or equivalent
c. Required, elective, or selected elective
Selected elective: CE, EnvE, GeoE
6. Specific Goals for the Course
a. Specific outcomes of instruction
● Understand how energy is generated from selected renewable resources (wind,
streams, and solar), estimate availability and cost
● Learn how to choose and design an energy systems based on resource assessment, as
well as on basic physics and engineering concepts and equations
● Understand the economics of energy conversion systems
b. Explicitly indicate which of the student outcomes listed in Criterion 3 or any
other outcomes are addressed by the course.
1. An ability to identify, formulate, and solve complex engineering problems by applying
principles of engineering, science, and mathematics
2. An ability to apply engineering design to produce solutions that meet specified needs
with consideration of (i) public health, (ii) safety, and (iii) welfare, as well as (iv)
global, (v) cultural, (vi) social, (vii) environmental, and (viii) economic factors*
3. An ability to communicate effectively with a range of audiences
4. An ability to recognize ethical and professional responsibilities in engineering
situations and make informed judgments, which must consider the impact of
engineering solutions in global, economic, environmental, and societal contexts
*The factors underlined in Student Outcome 2 are those aspects specifically addressed by
the course
7. Brief list of topics to be covered.
Economics I
Basic Electricity
Electric Power generation
Solar Energy: Resources
Solar Radiation
Photovoltaic systems
Wind Energy: Resources
Blade aerodynamics
The atmospheric boundary layer
Qualitative description of turbulent flows
Wind turbine power
Elements of control
Wake models and instability
Siting strategies
Offshore wind energy
Tidal and Fluvial energy
River Hydraulics
Sub and super critical flows
Sediment transport
Hydrokinetic systems
Traditional Hydropower
Economics II
1. Course Title:
CEGE 4561: Solids and Hazardous Wastes
2. Credit and Contact Hours
3 credit hours
3 contact hours per week (lecture)
3. Instructors:
Dr. Paige Novak, P.E.
Dr. Erin Surdo
4. Textbook:
A digital course packet containing readings required for this course is available through the U of
MN Libraries. (A link to this page will be posted to the course website).
a. Other supplemental materials
Handouts
5. Specific Course Information:
a. Brief description of the content of the course (catalog description)
This course will serve as an introduction to the topics of solid and hazardous waste
management. Classes will incorporate information about prevention, treatment options,
and the regulations surrounding solid and hazardous waste. They will also provide an
opportunity to observe different methods of waste treatment in action.
b. Prerequisites or co-requisites
CEGE 3501
Upper division CSE or graduate student or instructor consent
c. Required, elective, or selected elective
Selected elective: CE, EnvE, GeoE
6. Specific Goals for the Course
a. Specific outcomes of instruction
● Ability to classify solid and hazardous wastes using RCRA and CERCLA definitions.
● Ability to identify ways to prevent pollution throughout the life cycle of a product.
● Ability to evaluate solid wastes and solid waste disposal mechanisms.
● Ability to predict products and residuals from solid waste treatment (methane
generation, energy production, air pollutant generation, solid residual mass).
● Ability to design individual unit operations for the purpose of treating hazardous
waste based on waste characteristics.
● Ability to design an effective hazardous waste treatment train.
● Ability to communicate technical observations in a clear and professional manner.
b. Explicitly indicate which of the student outcomes listed in Criterion 3 or any other
outcomes are addressed by the course.
1. An ability to identify, formulate, and solve complex engineering problems by applying
principles of engineering, science, and mathematics
2. An ability to apply engineering design to produce solutions that meet specified needs
with consideration of (i) public health, (ii) safety, and (iii) welfare, as well as (iv)
global, (v) cultural, (vi) social, (vii) environmental, and (viii) economic factors*
3. An ability to communicate effectively with a range of audiences
*The factors underlined in Student Outcome 2 are those aspects specifically addressed by
the course
7. Brief list of topics to be covered.
Definitions of solid and hazardous wastes, regulatory framework for solid and hazardous waste
management
Pollution prevention and life-cycle assessment
Introduction to solid waste properties
Solid waste recycling
Solid waste incineration and air pollution control technologies
Landfilling
Solid waste composting
Hazardous waste treatment, precipitation
Hazardous waste treatment, chemical oxidation/reduction
Hazardous waste treatment, ion exchange
Biological hazardous waste treatment (oxidation/reduction)
The policy of pollution prevention/LCA
Designing a treatment train for hazardous waste
1. Course Title:
CEGE 4562: Environmental Remediation Technologies
2. Credit and Contact Hours
3 credit hours
3 contact hours per week (lecture)
3. Instructors:
Dr. Ray Hozalski, P.E.
4. Textbook:
Hazardous Waste Management, LaGrega, M.D., Buckingham, P.L., Evans, J.C., and ERM. 2nd
Edition, 2001.
a. Other supplemental materials
None
5. Specific Course Information:
a. Brief description of the content of the course (catalog description)
Theory and application of current and emerging technologies used to remediate
contaminated soil and groundwater.
b. Prerequisites or co-requisites
CEGE 3501
Upper division CSE or graduate student or instructor consent
c. Required, elective, or selected elective
Selected elective: CE, EnvE, GeoE
6. Specific Goals for the Course
a. Specific outcomes of instruction
● Understanding of contaminant characteristics.
● Ability to conduct fate and transport modeling.
● Ability to select and design appropriate remediation technologies.
● Ability to perform feasibility studies including basic engineering economic analyses.
b. Explicitly indicate which of the student outcomes listed in Criterion 3 or any
other outcomes are addressed by the course.
1. an ability to identify, formulate, and solve complex engineering problems by applying
principles of engineering, science, and mathematics
2. an ability to apply engineering design to produce solutions that meet specified needs
with consideration of (i) public health, (ii) safety, and (iii) welfare, as well as (iv)
global, (v) cultural, (vi) social, (vii) environmental, and (viii) economic factors*
3. an ability to communicate effectively with a range of audiences
*The factors underlined in Student Outcome 2 are those aspects specifically addressed by
the course
7. Brief list of topics to be covered.
Contaminant Characteristics
Fate and Transport in Subsurface Systems
Toxicology / Risk Assessment
Fate and Transport Modeling
Overview of Remediation Technologies
Pump and Treat Systems
Case Studies
Soil Vapor Extraction
Site Characterization/ Method Selection
Air Sparging
Bioremediation
In Situ Reactive Walls/Zones
Emerging Technologies
1. Course Title:
CEGE 4563: Pollutant Fate and Transport: Processes and Modeling
2. Credit and Contact Hours
3 credit hours
3 contact hours per week (lecture)
3. Instructors:
Dr. Erin Surdo
Dr. Vaughan Voller
4. Textbook:
Chemical Fate and Transport in the Environment, 3rd Edition by Harold F. Hemond and
Elizabeth J. Fechner; Elsevier, 2015.
a. Other supplemental materials
None
5. Specific Course Information:
a. Brief description of the content of the course (catalog description)
This course will focus on understanding the processes that dictate chemical fate in
surface waters, including air-water transfer, adsorption, and biological and abiotic
degradation. Students will evaluate the kinetics of these processes by interpreting
experimental data. They will also characterize transport in surface waters by building
theoretical and computational models from scratch that incorporate advection, diffusion
and dispersion transport processes. Students will develop finite difference solutions to
advection-diffusion-reaction equations, using ideal and non-ideal reactor theory, to
describe the ultimate fate of pollutants in surface water systems such as rivers, lakes, and
estuaries. Fate and transport of organic pollutants (such as pesticides and
pharmaceuticals), as well as biochemical oxygen demand and nutrient pollution, will be
studied.
b. Prerequisites or co-requisites
CEGE 3101
CEGE 3501
Instructor consent
c. Required, elective, or selected elective
Selected elective: CE, EnvE, GeoE
6. Specific Goals for the Course
a. Specific outcomes of instruction
● Understanding of chemical partitioning in environmental media.
● Understanding of adverse-dispersion –reaction processes that dictate pollutant fate
and transport.
● Ability to develop models for complex surface water systems using computational
software tools.
b. Explicitly indicate which of the student outcomes listed in Criterion 3 or any
other outcomes are addressed by the course.
1. An ability to identify, formulate, and solve complex engineering problems by applying
principles of engineering, science, and mathematics
3. An ability to communicate effectively with a range of audiences
7. An ability to acquire and apply new knowledge as needed, using appropriate learning
strategies
7. Brief list of topics to be covered.
Sources and sinks of pollutants in surface waters
Chemical reaction and process kinetics
Chemical and biological transformation processes
Henry's Law and air-water transfer
Adsorption and sedimentation
Eulerian vs. Lagrangian models for pollutant transport
The advection-dispersion-reaction equation, analytical and numerical solutions
Multibox models for describing complex surface water systems
1. Course Title:
CEGE 4581: Design for Sustainable Development: India
2. Credit and Contact Hours
3 credit hours
3 contact hours per week
3. Instructors:
Dr. Fred Rose
4. Textbook:
End of Karma: Hope and Fury Among India’s Young, Sengupta, 2017
IDEO Field Guide to Human-Centered Design, IDEO, 2015
a. Other supplemental materials
Development Impact and You Toolkit
Intercultural Development Inventory
5. Specific Course Information:
a. Brief description of the content of the course (catalog description)
Intensive, experiential learning opportunity on infrastructure, development, environment
issues in India.
b. Prerequisites or co-requisites
Upper division CSE with minimum 3.0 GPA or graduate student or instructor consent
c. Required, elective, or selected elective
Selected elective: CE, EnvE, GeoE
6. Specific Goals for the Course
a. Specific outcomes of instruction
● Development of global awareness of social, economic, and technical challenges in
developing societies.
● Development of inter-cultural and interdisciplinary skills, including communication.
● Understanding of professional and ethical responsibility.
● Understanding of international and sustainable development.
● Understanding of the role of entrepreneurs and engineers in sustainable development.
● Understanding of how to create effective market-based approaches to development
challenges.
● Understanding of how and why infrastructure and other engineered systems in India
are designed and operated differently than in the United States.
b. Explicitly indicate which of the student outcomes listed in Criterion 3 or any other
outcomes are addressed by the course.
5. An ability to function effectively on a team whose members together provide leadership,
create a collaborative and inclusive environment, establish goals, plan tasks, and meet
objectives
7. Brief list of topics to be covered.
Theories and methods of sustainable development
Engineering approaches to sustainable development
Entrepreneurial approaches to sustainable development
Community development and organizing
Indian history, economics, politics, and culture
Human-centered design thinking
Intercultural Competence
Ethical Reflection
Connecting knowledge and practice
Interdisciplinary Research
1. Course Title:
CEGE 4583: Design for Life: Water in Tanzania
2. Credit and Contact Hours
3 credit hours
3 contact hours per week
3. Instructors:
Dr. Catherine French, P.E.
Dr. Paul Strykowski
4. Textbook:
None.
a. Other supplemental materials
Instructor notes
Portions of Tanzania Guidelines
Past project reports and presentations
5. Specific Course Information:
a. Brief description of the content of the course (catalog description)
Teams will evaluate community needs and infrastructure to design potable water-
handling systems in rural Tanzania, typically off the power grid. Fluid mechanics:
complex distribution networks, system losses, pump selection, borehole development;
field measurements. Designs must address Tanzanian design guidelines.
b. Prerequisites or co-requisites
Upper division CSE
c. Required, elective, or selected elective
Selected elective: CE, EnvE, GeoE
6. Specific Goals for the Course
a. Specific outcomes of instruction
Ability to work effectively in teams, contributing in ways that best meet the student’s
interests and abilities and the needs of the team
Understand the concepts in fluid mechanics related to the distribution of water through
piping networks including multiple branching systems, system losses, modeling tools,
hydraulic drilling equipment, borehole development and yield, and pump selection
Understand energy requirements to efficiently operate a sustainable system
Conduct a cost-benefit analysis of multiple designs including component life versus
initial capital costs
Understand the Tanzanian engineering design requirements for water distribution
systems and the unique needs of local citizens, schools, and hospitals
Understand the needs of the community, its citizens, traditions, as well as setting
realistic expectations of what can and cannot be accomplished
Estimate potential flow yields and location of distribution points in field
Communicate both written and orally to public, potential project funders, and
engineers who may implement the project
b. Explicitly indicate which of the student outcomes listed in Criterion 3 or any
other outcomes are addressed by the course.
1. An ability to identify, formulate, and solve complex engineering problems by applying
principles of engineering, science, and mathematics
2. An ability to apply engineering design to produce solutions that meet specified needs
with consideration of (i) public health, (ii) safety, and (iii) welfare, as well as (iv)
global, (v) cultural, (vi) social, (vii) environmental, and (viii) economic factors*
3. An ability to communicate effectively with a range of audiences
4. An ability to recognize ethical and professional responsibilities in engineering
situations and make informed judgments, which must consider the impact of
engineering solutions in global, economic, environmental, and societal contexts
5. An ability to function effectively on a team whose members together provide
leadership, create a collaborative and inclusive environment, establish goals, plan
tasks, and meet objectives
6. An ability to develop and conduct appropriate experimentation, analyze and interpret
data, and use engineering judgment to draw conclusions
7. An ability to acquire and apply new knowledge as needed, using appropriate learning
strategies
*The factors underlined in Student Outcome 2 are those aspects specifically addressed by
the course
7. Brief list of topics to be covered.
Field trip to technical suppliers
Field trips to surrounding communities
Lectures and active learning strategies to cover the following topics: basic fluid mechanics;
pumps and power requirements; rising mains; single line and branched water distribution
systems
Local Tanzanian design guidelines
Topographical maps; use of site levels; pacing; and GPS data
Language and cultural lessons on Swahili and local village dialect (e.g., Hehe) and customs
Small group exploration of Iringa to experience food and culture.
1. Title:
CEGE 5212: Transportation Policy, Planning, and Deployment
2. Credit and Contact Hours
3 credit hours
3 contact hours per week
3. Instructors:
Dr. Jason Cao
4. Textbook:
The Transportation Experience: Policy, Planning, Deployment, Garrison and Levinson, 2005.
a. Other supplemental materials
None
5. Specific Course Information:
a. Brief description of the content of the course (catalog description)
Techniques of analysis and planning for transportation services. Demand-supply
interactions. Evaluating transportation alternatives. Travel demand forecasting. Integrated
model systems. Citizen participation in decision-making.
b. Prerequisites or co-requisites
CEGE 3201 or equivalent
Upper division CSE or graduate student
c. Required, elective, or selected elective
Selected elective: CE, EnvE, GeoE
6. Specific Goals for the Course
a. Specific outcomes of instruction
● Ability to illustrate how technologies are innovated and identify the policy
environments conducive to innovation.
● Ability to explain the lifecycle model of technology diffusion (birth, growth,
maturity) and its implications for current policy and investment.
● Ability to demonstrate the consequences of positive and negative feedback processes
on transportation systems.
● Ability to compare and contrast models and simulations of network growth with
historical experience.
● Ability to estimate statistical functions of the rate of deployment of transportation
technologies.
● Ability to prepare, present, and lead discussion of a case study of a contemporary
transportation issue, situating the discussion’s context in the history of transportation
and the local geography.
● Ability to develop and test original hypotheses with data about transportation
systems.
b. Explicitly indicate which of the student outcomes listed in Criterion 3 or any
other outcomes are addressed by the course.
4. An ability to recognize ethical and professional responsibilities in engineering
situations and make informed judgments, which must consider the impact of
engineering solutions in global, economic, environmental, and societal contexts
5. An ability to function effectively on a team whose members together provide
leadership, create a collaborative and inclusive environment, establish goals, plan
tasks, and meet objectives
6. An ability to develop and conduct appropriate experimentation, analyze and interpret
data, and use engineering judgment to draw conclusions
7. Brief list of topics to be covered.
Transportation history
Innovation processes
Lifecycle theory
Transportation policy
Transportation planning
1. Course Title:
CEGE 5213: Transit Planning and Management
2. Credit and Contact Hours
3 credit hours
3 contact hours per week
3. Instructors:
Dr. Jason Cao
4. Textbook:
The Transit Metropolis: A Global Inquiry, Cervero, 1998.
The New Transit Town: Best Practice in Transit-Oriented Development, Dittmar and Ohland,
2004.
a. Other supplemental materials
TCRP 102: Transit-Oriented Development in the United States--Experiences,
Challenges, and Prospects.
TCRP 128: Effects of TOD on Housing, Parking, and Travel.
TCRP 135: Controlling System Costs: Basic and Advanced Scheduling Manuals and
Contemporary Issues in Transit Scheduling.
TCRP 100: Transit Capacity and Quality of Service Manual.
5. Specific Course Information:
a. Brief description of the content of the course (catalog description)
Principles/techniques related to transit systems. Historical perspective, characteristics of
travel demand, demand management. Evaluating/benchmarking system performance.
Transit-oriented development. Analyzing alternative transit modes. System
design/finance. Case studies, field projects.
b. Prerequisites or co-requisites
Upper division CE, EnvE, GeoE or graduate student or instructor consent
c. Required, elective, or selected elective
Selected elective: CE, EnvE, GeoE
6. Specific Goals for the Course
a. Specific outcomes of instruction
● Understanding of transit services in the Twin Cities, in the US, and around the world.
● Understanding of transit management techniques including design standard, capacity
analysis, and route scheduling.
● Understanding of transit agency organization, economics, and politics.
● Understanding of linkage between transit and land use planning.
b. Explicitly indicate which of the student outcomes listed in Criterion 3 or any
other outcomes are addressed by the course.
3. An ability to communicate effectively with a range of audiences
5. An ability to function effectively on a team whose members together provide
leadership, create a collaborative and inclusive environment, establish goals, plan
tasks, and meet objectives
7. Brief list of topics to be covered.
History of public transportation
Transit policy in the USA and worldwide
Land use and transit integration
Transit management techniques
Politics of transit
1. Course Title:
CEGE 5341: Wave Methods for Nondestructive Testing
2. Credit and Contact Hours
4 credit hours
4 contact hours per week (3 per week in lecture and 1 per week in laboratory)
3. Instructors:
Dr. Bojan Guzina
4. Textbook:
No textbook is required
a. Other supplemental materials
Wave Propagation in Elastic Solids, Achenbach, 1973.
Ultrasonic Waves in Solid Media, Rose, 1999.
Structural Health Monitoring with Piezoelectric Wafer Active Sensors, Giurgiutiu, 2008.
5. Specific Course Information:
a. Brief description of the content of the course (catalog description)
Introduction to contemporary methods for nondestructive characterization of objects of
civil infrastructure (e.g., highways, bridges, geotechnical sites). Imaging technologies
based on propagation of elastic waves such as ultrasonic/resonant frequency methods,
seismic surveys, and acoustic emission monitoring. Lecture, laboratory.
b. Prerequisites or co-requisites
AEM 2021
AEM 3031
Instructor consent
c. Required, elective, or selected elective
Selected elective: CE, EnvE, GeoE
6. Specific Goals for the Course
a. Specific outcomes of instruction
● Understanding of elastic wave propagation in structural systems, and its use for non-
destructive evaluation (NDE) and structural health monitoring (SHM).
● Understanding of the generation of guided waves by means of piezoelectric actuators.
● Understanding of the principles of wave steering using phased array systems.
● Knowledge of the fundamentals of signal processing required for wave-based damage
detection and triangulation.
● Ability to conduct individual research on a contemporary problem related to wave
methods for nondestructive testing.
b. Explicitly indicate which of the student outcomes listed in Criterion 3 or any
other outcomes are addressed by the course.
1. An ability to identify, formulate, and solve complex engineering problems by applying
principles of engineering, science, and mathematics
7. Brief list of topics to be covered.
The wave equation and its properties
Dispersive and non-dispersive media; Phase and group velocity
Waves in one-dimensional structures: rods, shafts and beams
Plane waves in two-dimensional domains
Flexural and Lamb waves in plates
Waves in layered media
Actuation and sensing
Piezoelectric wafer active sensors (PWAS)
Tuned guided waves. Triangulation techniques
Wave beaming and beam steering: Phased array ultrasonics
Wavefield reconstruction via laser interferometry
Signal processing and filtering techniques for SHM data
1. Course Title:
CEGE 5351: Advanced Engineering Mathematics I
2. Credit and Contact Hours
3 credit hours
3 contact hours per week (lecture)
3. Instructors:
Dr. Otto Strack
4. Textbook:
Application of Vector Analysis and Complex Variables in Engineering (draft) by O.D.L. Strack
(137pp, pdf), provided to the students in electronic form
a. Other supplemental materials
Class notes are all written on an iPad, are projected on screen during class time and are e-
mailed to the students in pdf form
5. Specific Course Information:
a. Brief description of the content of the course (catalog description)
Emphasizes skills relevant for civil, environmental, and geo- engineers. Mathematical
principles explained in an engineering setting. Applications from various areas in civil,
environmental, and geo- engineering.
b. Prerequisites or co-requisites
MATH 2374 or equivalent
Upper division CSE or graduate student or instructor consent
c. Required, elective, or selected elective
Selected elective: CE, EnvE, GeoE
6. Specific Goals for the Course
a. Specific outcomes of instruction
Knowledge of basic mathematical skills in the context of civil engineering problems.
Knowledge of mathematical expressions relevant in engineering and their meaning, in
particular properties of vector fields such as curl and divergence.
Knowledge of the definitions of the material-time derivative, its application to
expressions for velocity and acceleration, and application of these concepts to fluid
mechanics.
Ability to derive and understand mathematical expressions for stresses and strains in
the context of coordinate transformations.
Knowledge of how to use complex variables (Wirtinger calculus) to formulate and
solve general two-dimensional problems.
Ability to create a model for open-channel flow involving a series of impermeable
cylindrical obstructions as the final class project.
Ability to distinguish between the three fundamental types of partial differential
equations, and learn the approach for solving these equations.
b. Explicitly indicate which of the student outcomes listed in Criterion 3 or any
other outcomes are addressed by the course.
1. An ability to identify, formulate, and solve complex engineering problems by applying
principles of engineering, science, and mathematics
7. Brief list of topics to be covered.
Vectors in three-dimensional space
Vector fields
Fundamental equations for fluid mechanics
Irrotational and divergence-free flow
Coordinate transformations; definitions of vectors and tensors; application to linear elasticity
Partial differential equations of the first order
Partial differential equations of the second order
The elliptical case; complex characteristics; general complex variables; fluid mechanics and
groundwater flow
The parabolic case; heat flow and diffusion
The hyperbolic case; longitudinal vibration in a bar
1. Course Title:
CEGE 5411: Applied Structural Mechanics
2. Credit and Contact Hours
3 credit hours
3 contact hours per week
3. Instructors:
Dr. Carol Shield, P.E.
Dr. Henryk Stolarski
4. Textbook (one of the following):
Applied Mechanics of Materials and Applied Elasticity, A.C. Ugural and S.K. Fenster, 5th
Edition, 2011.
Advanced Mechanics of Materials, Robert D. Cook and Warren C. Young, 2nd Edition, 1999.
a. Other supplemental materials
Notes provided by instructor on an as needed basis.
5. Specific Course Information:
a. Brief description of the content of the course (catalog description)
Principal Stresses and strain analysis; failure criteria. Introduction to plane elasticity,
energy methods, torsion of beams, and bending of unsymmetrical beams. Introduction to
structural dynamics and stability.
b. Prerequisites or co-requisites
AEM 3031 or equivalent
Upper division CSE or graduate student or instructor consent
c. Required, elective, or selected elective
Selected elective: CE, EnvE, GeoE
6. Specific Goals for the Course
a. Specific outcomes of instruction
● Understanding of the fundamental constitutive responses of elastic materials.
● Understanding of the behavior of structural elements as determined by engineering
theories.
● Understanding of the equations of elasticity and their application to simple boundary
value problems.
● Understanding of the different failure mechanisms of structural components.
b. Explicitly indicate which of the student outcomes listed in Criterion 3 or any
other outcomes are addressed by the course.
1. An ability to identify, formulate, and solve complex engineering problems by applying
principles of engineering, science, and mathematics
7. Brief list of topics to be covered.
Exact solutions vs. approximate solutions
Constitutive models for elastic solids
Linear elasticity (stress, strain, displacement, compatibility, equilibrium, Hooke’s Law for
isotropic and transversely isotropic materials, strain energy and complementary energy, plane
stress and plane strain)
Strength theories: criteria for pressure independent and pressure dependent ductile and brittle
materials
Energy methods
Bending of unsymmetrical sections
Torsion of prismatic bars with multiply-connected cross sections
General introduction to structural dynamics and stability
1. Course Title:
CEGE 5414: Prestressed Concrete Design
2. Credit and Contact Hours
3 credit hours
3 contact hours per week
3. Instructors:
Dr. Catherine French, P.E.
Dr. Carol Shield, P.E.
4. Textbook:
Design of Prestressed Concrete Structures, Lin & Burns, 1981.
Building Code Requirements for Structural Concrete (318-14) and Commentary (318R-14),
American Concrete Institute, 2014.
a. Other supplemental materials
None
5. Specific Course Information:
a. Brief description of the content of the course (catalog description)
Design of prestressed concrete structures. Time dependent effects, behavior, flexure,
shear, torsion, deflections, and continuous systems.
b. Prerequisites or co-requisites
CEGE 4401
Upper division CSE or graduate student or instructor consent
c. Required, elective, or selected elective
Selected elective: CE, EnvE, GeoE
6. Specific Goals for the Course
a. Specific outcomes of instruction
● Understanding of the concepts of pretensioning and post-tensioning.
● Ability to determine short and long term prestress losses.
● Ability to design prestressed beams for flexure including consideration of service
stresses and strength.
● Understanding of the effects of prestress and strand area on the moment-curvature
response.
● Ability to design prestressed beam for shear and torsion.
● Familiarity with determination of camber and deflections.
● Ability to design composite section.
b. Explicitly indicate which of the student outcomes listed in Criterion 3 or any
other outcomes are addressed by the course.
1. An ability to identify, formulate, and solve complex engineering problems by applying
principles of engineering, science, and mathematics
2. An ability to apply engineering design to produce solutions that meet specified needs
with consideration of (i) public health, (ii) safety, and (iii) welfare, as well as (iv)
global, (v) cultural, (vi) social, (vii) environmental, and (viii) economic factors*
*The factors underlined in Student Outcome 2 are those aspects specifically addressed by
the course
7. Brief list of topics to be covered.
Introduction: technology and materials; prestressing systems
Prestress losses: relaxation, creep and shrinkage
Flexural design: general principles; allowable stresses
Flexural behavior: moment-curvature relationships
Design for shear and torsion
Serviceability: camber, deflection and cracking
Composite beams
1. Course Title:
CEGE 5415: Masonry Structures
2. Credit and Contact Hours
3 credit hours
3 contact hours per week
3. Instructors:
Dr. Arturo Schultz
4. Textbook:
Masonry Structures, Behavior and Design, Drysdale and Hamid, 2008.
a. Other supplemental materials
Building Code Requirements for Masonry Structures (TMS 402/ACI 530/ASCE 5), 2013.
5. Specific Course Information:
a. Brief description of the content of the course (catalog description)
Masonry materials and their production. Mortars, grouts. Design of unreinforced and
reinforced masonry structural systems. Walls, columns, lintels. Codes/specifications,
testing.
b. Prerequisites or co-requisites
CEGE 3401
Upper division CSE or graduate student or instructor consent
c. Required, elective, or selected elective
Selected elective: CE, EnvE, GeoE
6. Specific Goals for the Course
a. Specific outcomes of instruction
● Understanding of the methods of production of masonry materials, their physical
composition and the corresponding materials properties.
● Understanding of the mechanics of masonry assemblages that are loaded in
compression, flexure, tension, or shear.
● Understanding of the methods of construction and structural forms used for
contemporary masonry.
● Understanding of the Allowable Stress Design (ASD) and Strength Design (SD)
philosophies and the corresponding building code design criteria.
● Ability to analyze and design masonry members (beams, walls, columns and
pilasters) under gravity loads using modern principles.
● Ability to analyze and design masonry buildings and components subjected to lateral
loads (wind and seismic).
b. Explicitly indicate which of the student outcomes listed in Criterion 3 or any
other outcomes are addressed by the course.
1. An ability to identify, formulate, and solve complex engineering problems by applying
principles of engineering, science, and mathematics
2. An ability to apply engineering design to produce solutions that meet specified needs
with consideration of (i) public health, (ii) safety, and (iii) welfare, as well as (iv)
global, (v) cultural, (vi) social, (vii) environmental, and (viii) economic factors*
*The factors underlined in Student Outcome 2 are those aspects specifically addressed by
the course
7. Brief list of topics to be covered.
Introduction / History of Masonry / Contemporary Masonry
Building Systems / Design Methods
Materials – Clay Masonry Units, Concrete Masonry Units
Materials – Concrete Masonry Units, Mortar Grout and Reinforcement
Masonry Assemblages in Compression, Tension and Shear
Masonry Beams in Flexure (ASD & SD)
Masonry Beams in Shear (ASD & SD)
Anchorage and Development Length in Masonry Beams
Serviceability and Load Distribution in Masonry Beams
Unreinforced Masonry (URM) Walls in Flexure
Reinforced Masonry (RM) Walls in Flexure
Loadbearing Walls in Compression and Out-of-Plane Flexure
Characteristics and Design of Cavity Walls
Masonry Columns and Pilasters
Masonry Shear Walls
Connectors
Movement Joints
1. Course Title:
CEGE 5511: Urban Hydrology and Water Quality
2. Credit and Contact Hours
4 credit hours
4 contact hours per week (lecture)
3. Instructors:
Dr. John Gulliver
4. Textbook:
No required textbook
a. Other supplemental materials
Reserve Reading, Handouts
5. Specific Course Information:
a. Brief description of the content of the course (catalog description)
Urban hydrology for small watersheds and the management of storm water quality and
quantity.
b. Prerequisites or co-requisites
CEGE 4501 or BBE 5513
Upper division CSE or graduate student or instructor consent
c. Required, elective, or selected elective
Selected elective: CE, EnvE, GeoE
6. Specific Goals for the Course
a. Specific outcomes of instruction
● Understanding of storm sewer systems in the urban landscape.
● Ability to review the quality of urban runoff.
● Knowledge of techniques for urban source control.
● Understanding of the function of stormwater detention basins.
● Knowledge of the hydraulic design of stormwater detention basins.
● Understanding of the theories of infiltration into soil.
● Knowledge of the hydraulic design of stormwater volume control practices.
● Understanding of other techniques of stormwater treatment.
● Understanding of the requirements for assessment and maintenance of existing
stormwater practices.
b. Explicitly indicate which of the student outcomes listed in Criterion 3 or any
other outcomes are addressed by the course.
1. An ability to identify, formulate, and solve complex engineering problems by applying
principles of engineering, science, and mathematics
2. An ability to apply engineering design to produce solutions that meet specified needs
with consideration of (i) public health, (ii) safety, and (iii) welfare, as well as (iv)
global, (v) cultural, (vi) social, (vii) environmental, and (viii) economic factors*
3. An ability to communicate effectively with a range of audiences
5. An ability to function effectively on a team whose members together provide
leadership, create a collaborative and inclusive environment, establish goals, plan
tasks, and meet objectives
*The factors underlined in Student Outcome 2 are those aspects specifically addressed by
the course
7. Brief list of topics to be covered.
Storm sewer systems in the urban landscape
The quality of urban runoff
Urban source control
Stormwater detention basins and the sedimentation of pollutants
Volume control through infiltration
Advanced stormwater treatment
Assessment and maintenance of stormwater practices
1. Course Title:
CEGE 5512: Stochastic Ecohydrology
2. Credit and Contact Hours
3 credit hours
3 contact hours per week (lecture)
3. Instructors:
Dr. Xue Feng
4. Textbook:
No required textbook
a. Other supplemental materials
Ecohydrology of Water-Controlled Ecosystems, Rodriguez-Iturbe and Porporato, 2004,
Cambridge University Press
Noise-Induced Phenomena in the Environmental Sciences, Ridolfi, D’Odorico, and Laio,
2011, Cambridge University Press
5. Specific Course Information:
a. Brief description of the content of the course (catalog description)
This course will provide the theoretical and quantitative basis for understanding the
interactions between the water cycle, vegetation, soil biogeochemistry, and the
atmosphere. A main focus of the course will be on modeling the water and carbon
dynamics across the soil-plant-atmosphere system. We will provide probabilistic
descriptions of this system at the daily, seasonal, and interannual timescales by
incorporating various sources of randomness and non-stationarity within the
environment, particularly those from rainfall. These concepts and tools will be discussed
in the context of sustainable management of water resources and terrestrial ecosystems,
especially in view of the changes in the hydrological regime from climate change and
societal pressures.
b. Prerequisites or co-requisites
CEGE 3502
MATH 2373
MATH 2374
c. Required, elective, or selected elective
Selected elective: CE, EnvE, GeoE
6. Specific Goals for the Course
a. Specific outcomes of instruction
● Ability to use probability theory and stochastic processes to describe how rainfall
variability is propagated into fluctuations in soil moisture and plant water status.
● Understanding physiological and environmental controls of plant water use.
● Understanding the role of plants in effecting ecosystem-level feedbacks to various
components of the water cycle.
● Ability to be able to use engineering objectives to guide the design and management
of natural and agricultural ecosystems.
● Ability to conduct research projects that test hypotheses related to plant-water
interactions.
● Ability to communicate research findings in an engaging and professional way.
b. Explicitly indicate which of the student outcomes listed in Criterion 3 or any
other outcomes are addressed by the course.
1. An ability to identify, formulate, and solve complex engineering problems by applying
principles of engineering, science, and mathematics
2. An ability to apply engineering design to produce solutions that meet specified needs
with consideration of (i) public health, (ii) safety, and (iii) welfare, as well as (iv)
global, (v) cultural, (vi) social, (vii) environmental, and (viii) economic factors*
3. An ability to communicate effectively with a range of audiences
7. An ability to acquire and apply new knowledge as needed, using appropriate learning
strategies
*The factors underlined in Student Outcome 2 are those aspects specifically addressed by
the course
7. Brief list of topics to be covered.
Stochastic processes
Probability
Markovian processes
Plant physiology and hydraulics
Photosynthesis and models of stomatal conductance
Plant feedback to the atmosphere, ecosystem water availability, and streamflow
Hydrologic control on soil biogeochemistry
Sustainable use of soil and water resources
1. Course Title:
CEGE 5541: Environmental Water Chemistry
2. Credit and Contact Hours
3 credit hours
3 contact hours per week (lecture)
3. Instructors:
Dr. William Arnold, P.E.
4. Textbook:
Water Chemistry: An Introduction to the Chemistry of Natural and Engineered Aquatic Systems,
P.L. Brezonik and W.A. Arnold, 2011.
a. Other supplemental materials
None
5. Specific Course Information:
a. Brief description of the content of the course (catalog description)
Introduction to water chemistry. Physical chemical principles, geochemical processes
controlling chemical composition of waters, behavior of contaminants that affect the
suitability of water for beneficial uses.
b. Prerequisites or co-requisites
CEGE 3501
CHEM 1061, 1062
CHEM 1071H, CHEM 1072H
Upper division CSE or graduate student or instructor consent
c. Required, elective, or selected elective
Selected elective: CE, EnvE, GeoE
6. Specific Goals for the Course
a. Specific outcomes of instruction
● Understanding of the dissolved and solid species that affect the chemistry of aquatic
systems.
● Ability to perform equilibrium calculations graphically, algebraically, and using
computer software.
● Ability to perform calculations related to acids and bases, titrations, complexation,
solubility, and oxidation-reduction reactions.
● Ability to evaluate expressions for chemical kinetics and perform kinetic simulation
calculations.
● Understanding of how chemical processes affect natural and engineered aquatic
systems.
b. Explicitly indicate which of the student outcomes listed in Criterion 3 or any
other outcomes are addressed by the course.
1. An ability to identify, formulate, and solve complex engineering problems by applying
principles of engineering, science, and mathematics
7. Brief list of topics to be covered.
Introduction to the course and course policies; Concentration units
Thermodynamics and equilibrium
Activity and activity coefficients
Principals of chemical kinetics
pH; Introduction to acids and bases, and displaying chemical equilibrium
Solution of chemical equilibrium problems, acid-base chemistry and calculations
Titration, pH calculation, pH buffers, ionization fraction
Composition of natural waters, carbonate system
Metal-ion complexation
Solubility, water softening
Solubility of metal (hydr)oxides and carbonates
Principles of redox equilibria
Chlorine chemistry
Sorption processes
Fate of organic pollutants
Natural organic matter
1. Course Title:
CEGE 5542: Experimental Methods in Environmental Engineering
2. Credit and Contact Hours
3 credit hours
4.25 contact hours per week (1.25 hour lecture, 3 hours laboratory)
3. Instructors:
Dr. William Arnold, P.E.
Dr. Erin Surdo
4. Textbook:
Principles of Instrumental Analysis, Skoog, Holler, Crouch, 2007.
a. Other supplemental materials
US Geological Survey Manuals for collection and analysis of environmental samples
(available online)
Required reading assignments and other materials will be posted to the course’s
website.
5. Specific Course Information:
a. Brief description of the content of the course (catalog description)
Tools necessary to conduct research in environmental engineering and chemistry. Theory
of operation of analytical equipment. Sampling and data handling methods, statistical
analyses, experimental design, laboratory safety. Lecture, laboratory.
b. Prerequisites or co-requisites
CEGE 3501 (CEGE 5541 recommended)
CHEM 1022
Upper division CSE or graduate student or instructor consent
c. Required, elective, or selected elective
Selected elective: CE, GeoE
6. Specific Goals for the Course
a. Specific outcomes of instruction
● Understanding and use of proper statistical tools for data analysis.
● Understanding of the basics of instrument function and operation.
● Ability to conduct routine water quality analyses.
● Ability to design and conduct an independent experimental investigation.
● Ability to develop technical writing and oral presentation skills.
b. Explicitly indicate which of the student outcomes listed in Criterion 3 or any
other outcomes are addressed by the course.
3. An ability to communicate effectively with a range of audiences
6. An ability to develop and conduct appropriate experimentation, analyze and interpret
data, and use engineering judgment to draw conclusions
7. Brief list of topics to be covered.
Lab safety and role of environmental measurements
Volumetric and gravimetric measurements
pH measurement, Alkalinity, and Specific conductance
Reactor Kinetics
UV/Visible Spectroscopy
Atomic absorption spectrometry
Ion chromatography, Organic carbon analysis
Dissolved oxygen, Temperature, Ion-specific electrodes, Turbidity.
Gas chromatography
Liquid chromatography
Surface characterization and Microscopy techniques
Field sampling and preservation
Capillary electrophoreses
1. Course Title:
CEGE 5543: Introductory Environmental Fluid Mechanics
2. Credit and Contact Hours
4 credit hours
4 contact hours per week (lecture and laboratory)
3. Instructor:
Dr. Miki Hondzo, P.E.
4. Textbook:
Environmental Fluid Dynamics: Flow processes, scaling, equations of motion, and solution to
environmental flows, J. Imberger
a. Other supplemental materials
Multimedia Fluid Mechanics, G.M. Homsy et al., 2007.
5. Specific Course Information:
a. Brief description of the content of the course (catalog description)
Environmental fluid mechanics is the study of the interaction of fluid flows that occur in
aquatic ecosystems with the growth and behavior of living organisms.
b. Prerequisites or co-requisites
CEGE 3502 or AEM 4201 or ChEn 3005
Upper division CSE or graduate student or instructor consent
c. Required, elective, or selected elective
Selected elective: CE, EnvE, GeoE
6. Specific Goals for the Course
a. Specific outcomes of instruction
● Understanding of spatial and temporal variabilities of fluid flows and living
organisms in the nature.
● Review of the conservation laws and flow domains in the nature.
● Knowledge of techniques for integrating the conservation laws of fluid flows and
living organisms.
● Understanding of the role of biological attractants.
● Knowledge of the fundamental principles of laminar versus turbulent flows in the
nature.
● Understanding of the principles of boundary layer theory and scaling.
● Knowledge of the solutions of diffusion equation with reactive species.
● Knowledge of scaling and similarity to transfer experimental data to design of
prototype bioreactors.
● Understanding of the principles of shear dispersion in the nature.
b. Explicitly indicate which of the student outcomes listed in Criterion 3 or any
other outcomes are addressed by the course.
1. An ability to identify, formulate, and solve complex engineering problems by applying
principles of engineering, science, and mathematics
2. An ability to apply engineering design to produce solutions that meet specified needs
with consideration of (i) public health, (ii) safety, and (iii) welfare, as well as (iv)
global, (v) cultural, (vi) social, (vii) environmental, and (viii) economic factors*
6. An ability to develop and conduct appropriate experimentation, analyze and interpret
data, and use engineering judgment to draw conclusions
*The factors underlined in Student Outcome 2 are those aspects specifically addressed by
the course
7. Brief list of topics to be covered.
Heat, mass, and momentum conservation
Strain rate, rotation, and vorticity
Navier-Stokes equations and simplifications
Random and chemotactic motion of organisms
Biological growth curves
Laminar flows
Turbulent flows
Dispersion
Scaling and similarity
Life in moving fluids
1. Course Title:
CEGE 5551: Environmental Microbiology
2. Credit and Contact Hours
3 credit hours
3 contact hours per week
3. Instructors:
Dr. Sebastian Behrens
Dr. Paige Novak, P.E.
4. Textbook:
Brock Biology of Microorganisms, Madigan, Martinko, Bender, Buckley, and Stahl, 14th Edition,
2015.
a. Other supplemental materials
None
5. Specific Course Information:
a. Brief description of the content of the course (catalog description)
Role of microorganisms in environmental bioremediation, pollution control,
water/wastewater treatment, biogeochemistry, and human health.
b. Prerequisites or co-requisites
Upper division CSE or graduate student or instructor consent
c. Required, elective, or selected elective
Selected elective: CE, EnvE, GeoE
6. Specific Goals for the Course
a. Specific outcomes of instruction
● Understanding of the physiology of prokaryotes.
● Understanding of the basics of metabolism, including heterotrophic metabolism,
chemolithotrophic metabolism, and phototrophic metabolism.
● Understanding of the basics of respiration and electron flow in an organism, including
concepts from aerobic respiration and anaerobic respiration.
● Understanding of the essentials of genetics, including replication, transcription, and
translation.
● Understand regulation with respect to transcription and translation.
● Understanding of microbial ecology with respect to microbial interactions,
succession, and community development.
● Understanding of how different metabolic capabilities result in biogeochemical
cycling.
● Understanding of the fundamental kinetic expressions of enzyme activity, microbial
growth, and substrate utilization.
● Ability to apply fundamental principles of microbiology to wastewater treatment.
● Ability to apply fundamental principles of microbiology to the degradation of
contaminants.
● Understanding of the contemporary issues associated with environmental
microbiology.
b. Explicitly indicate which of the student outcomes listed in Criterion 3 or any
other outcomes are addressed by the course.
1. An ability to identify, formulate, and solve complex engineering problems by applying
principles of engineering, science, and mathematics
7. An ability to acquire and apply new knowledge as needed, using appropriate learning
strategies
7. Brief list of topics to be covered.
Introduction to the course and course policies
Cell chemistry
Cell physiology
Introduction to metabolism
Heterotrophs
Respiration
Photoautotrophs
Chemolithotrophs
Genetics
Introduction to ecology
Microbial interactions
Biogeochemical cycling
Communities and ecosystems
Kinetics
Wastewater microbiology
Degradation of xenobiotics
1. Course Title:
CEGE 5552: Environmental Microbiology Laboratory
2. Credit and Contact Hours
1 credit hour
2.5 contact hours per week
3. Instructors:
Dr. Sebastian Behrens
Dr. Paige Novak, P.E.
4. Textbook:
No required textbook
a. Other supplemental materials
Course packet containing laboratory exercises and background information
Brock’s Biology of Microorganisms, by Madigan, Martinko, Bender, Buckley, and Stahl,
14th Edition, 2015.
5. Specific Course Information:
a. Brief description of the content of the course (catalog description)
Basic microbiological techniques: media making, staining, visualization, plating,
isolation, identification/enumeration of bacteria, quantification using quantitative
polymerase chain reaction (molecular technique). Individual laboratory project.
Laboratory.
b. Prerequisites or co-requisites
CEGE 5551 (co-requisite)
c. Required, elective, or selected elective
Technical elective: CE, EnvE, GeoE
6. Specific Goals for the Course
a. Specific outcomes of instruction
● Practice of basic cultivation-based microbiology techniques.
● Practice of basic cultivation-independent microbiology techniques.
● Ability to use microscopy to visualize bacteria.
● Understanding of when different techniques are appropriate for use and the
information that can be obtained through their use.
● Ability to develop an independent hypothesis-based laboratory project that utilizes the
techniques learned in class to explore a question related to environmental
microbiology.
● Practice of presenting information to the class.
b. Explicitly indicate which of the student outcomes listed in Criterion 3 or any
other outcomes are addressed by the course.
6. An ability to develop and conduct appropriate experimentation, analyze and interpret
data, and use engineering judgment to draw conclusions
7. Brief list of topics to be covered.
Introduction to various microbiology laboratory techniques (cultivation and cultivation-
independent)
Media preparation
Introduction to the microscope and staining
Plating, transferring, and isolating organisms
Enumeration of organisms
Extraction of DNA
Quantitative polymerase chain reaction (PCR)
Development, presentation, and execution of an independent laboratory project with feedback
from the instructor and classmates
1. Course Title:
CEGE 5570: Design for Sustainable Development: India
2. Credit and Contact Hours
3 credit hours
40 contact hours per week
3. Instructors:
Dr. Fred Rose
4. Textbook:
End of Karma: Hope and Fury Among India’s Young, Sengupta, 2017
IDEO Field Guide to Human-Centered Design, IDEO, 2015
a. Other supplemental materials
Development Impact and You Toolkit
Intercultural Development Inventory
5. Specific Course Information:
a. Brief description of the content of the course (catalog description)
Intensive, experiential learning opportunity on infrastructure, development, environment
issues in India.
b. Prerequisites or co-requisites
Open to grad students from all majors
c. Required, elective, or selected elective
Selected elective: CE, EnvE, GeoE
6. Specific Goals for the Course
a. Specific outcomes of instruction
● Development of global awareness of social, economic, and technical challenges in
developing societies.
● Development of inter-cultural and interdisciplinary skills, including communication.
● Understanding of professional and ethical responsibility.
● Understanding of international and sustainable development.
● Understanding of the role of entrepreneurs and engineers in sustainable development.
● Understanding of how to create effective market-based approaches to development
challenges.
● Understanding of how and why infrastructure and other engineered systems in India
are designed and operated differently than in the United States.
b. Explicitly indicate which of the student outcomes listed in Criterion 3 or any other
outcomes are addressed by the course.
5. An ability to function effectively on a team whose members together provide leadership,
create a collaborative and inclusive environment, establish goals, plan tasks, and meet
objectives
7. Brief list of topics to be covered.
Theories and methods of sustainable development
Engineering approaches to sustainable development
Entrepreneurial approaches to sustainable development
Community development and organizing
Indian history, economics, politics, and culture
Human-centered design thinking
Intercultural Competence
Ethical Reflection
Connecting knowledge and practice
Interdisciplinary Research
1. Course: CSCI 1113 - Introduction to C/C++ Programming for Scientists and Engineers 2. Workload: 4 Credits, 7 contact hours/week 3. Coordinator: Phil Barry
4. Text book and other materials:
a. Savitch, Problem Solving with C++, 10th edition, 2018
5. Specific course information a. Catalog Description: Programming for scientists/engineers. C/C++ programming
constructs, object-oriented programming, software development, fundamental numerical techniques. Exercises/examples from various scientific fields.
b. Prerequisites: i. Calculus I concurrently (MATH 1371)
c. Role in Program: required 6. Specific goals for the course
a. Course Outcomes: i. write good C++ code,
ii. use good program design techniques and programming style in the code you write,
iii. analyze problems and design a programming solution to them, iv. Use numerical techniques such as numerical root finding and matrix
manipulation in solving scientific and engineering problems. b. Criterion 3 Outcomes and Program Criteria:
i. (2) engineering tools 7. Topics:
• Computers, Algorithms, Programs, Compilers • Variables, Expressions, Declaration statements, Assignment, Console I/O • Objects, Functions, Streams, Files • Boolean expressions, Selection • Iteration, Nested Loops, Arrays • Arrays Data Representation, Memory • Aggregate Objects, Function Overloading • User-defined Objects, Classes • Constructors • Operator Overloading, Friend functions, References, Const. • Pointers and Dynamic Arrays • Inheritance • Polymorphism, Templates, Iterators • Standard template, Library
1. Course title: CHEM 1061: Chemical Principles I CHEM 1065: Chemical Principles I Lab 2. Credits and contact hours: CHEM 1061: 3 credit hours, 3 contact hours per week (lecture) CHEM 1065: 1 credit hour, 3 contact hours per week (lab) 3. Instructors:
Dr. Edgar Arriaga Dr. Michelle Driessen Dr. Kenneth Leopold Dr. Aaron Massari Dr. Emily Pelton Dr. Debra Salmon Dr. Lauren Mitchell
4. Textbook: Chemistry: The Molecular Nature of Matter and Change, M. Silberberg, 8th edition, 2018.
a. Other supplemental materials 5. Specific course information:
a. Brief description of the content of the course (catalog description) Atomic theory, periodic properties of elements. Thermochemistry, reaction stoichiometry. Behavior of gases, liquids, and solids. Molecular/ionic structure/bonding. Organic chemistry and polymers, energy sources, environmental issues related to energy use. b. Prerequisites or co-requisites
CHEM 1011 or CHEM 1015 or placement exam. Concurrent registration with CHEM 1065 is required.
c. Required, elective, or selected elective
Required
6. Specific Goals for the Course
a. Specific outcomes of instruction
CHEM 1061/65 is an introductory course combination. It fulfills the core physical science requirement. The lecture/lab combination is designed to prepare students for science majors including chemistry, engineering, and the health sciences. (6) b. Criterion 3 Outcomes and Program Criteria
i). (6) design and analysis of experiments ii. (3) communicate and present findings iii. (5) collaborate effectively with a team
7. Brief list of topics to be covered Atomic theory Periodic properties of elements Thermochemistry Reaction stoichiometry Behavior of gases, liquids, and solids Molecular/ionic structure/bonding Organic chemistry and polymers Energy sources Environmental issues related to energy use
1. Course title: CHEM 1062: Chemical Principles II CHEM 1066: Chemical Principles II Lab 2. Credits and contact hours: CHEM 1062: 3 credit hours, 3 contact hours per week (lecture) CHEM 1066: 1 credit hour, 3 contact hours per week (lab) 3. Instructors: Dr. Michelle Driessen Dr. Wayne Gladfelter Dr. Valerie Pierre Dr. Debra Salmon Dr. Ken Leopold Dr. Doreen Leopold 4. Textbook:
Chemistry: The Molecular Nature of Matter and Change, M. Silberberg, 8th edition, 2018.
a. Other supplemental materials
5. Specific course information:
a. Brief description of the content of the course (catalog description) Chemical kinetics. Radioactive decay. Chemical equilibrium. Solution. Acids/bases. Solubility. Second law of thermodynamics. Electrochemistry/corrosion. Descriptive Chemistry of elements. Coordination chemistry. Biochemistry. b. Prerequisites or co-requisites
CHEM 1061. Concurrent registration with CHEM 1066 is required.
c. Required, elective, or selected elective
Required
6. Specific Goals for the Course
a. Specific outcomes of instruction
CHEM 1062/66 is an introductory course combination. It fulfills the core physical science requirement. The lecture/lab combination is designed to prepare students for science majors including chemistry, engineering, and health sciences. b. Criterion 3 Outcomes and Program Criteria
i. (6) design and analysis of experiments
ii. (3) communicate and present findings iii. (5) collaborate effectively with a team
7. Brief list of topics to be covered
Properties of mixtures: solutions and colloids Kinetics: rates of mechanisms of chemical reactions Equilibrium: the extent of chemical reactions, acid-base equilibria, and ionic equilibria in aqueous systems Thermodynamics: entropy, free energy, and the direction of chemical reactions Electrochemistry: chemical change and electrical work Transition elements and their coordination compounds Periodic patterns in the main-group elements Elements in nature and industry
1. Course: BIOL 1009 – General Biology
2. Workload: 4 credits, 3 lecture contact hours, 2 lab contact hours
3. Coordinator: Mark Decker 4. Text book and other materials:
a. L. A. Urry, et al, Campbell Biology, Custom 11th Edition for the University of Minnesota
b. Cheryl Scott, Jessamina Blum, and Mark Decker, General Biology: Laboratory Manual, 2018.
5. Specific course information Catalog Description: A comprehensive introduction to biology - includes molecular structure of living things, cell processes, energy utilization, genetic information and inheritance, mechanisms of evolution, biological diversity, and ecology. Includes lab. This comprehensive course serves as a prerequisite and requirement in many majors. Prerequisites:
i. high school chemistry or 1 term college chemistry recommended Role in Program: required by Liberal Education requirements and is a prerequisite for many upper division biology courses.
6. Specific goals for the course
a. Course Outcomes: i. Build a breadth of knowledge within the major themes of the course,
ii. View biology as a collection of interacting processes, rather than an accumulation of facts, in order to better understand the unity and diversity that are present in nature
iii. Identify and understand ways that biological processes and technology directly impact your life.
b. Criterion 3 Outcomes and Program Criteria: i. (6) design and conduct experiments
ii. (4) liberal education iii. (2) contemporary issues
7. Topics:
Lecture Topic 1 Introduction: Unity and Diversity of Life 2 Basic Chemistry; Water 3 Chemical Composition of Organisms, Biological molecules 4 Prokaryotic and Eukaryotic cells 5 Case Study I 6 Viruses and Prions
7 Membranes and transport processes 8 Chemical reactions and energetics 9 Enzymes and metabolism 10 Aerobic and anaerobic catabolism 11 Electron transport and ATP synthesis 12 Photosynthesis 13 Mitosis and Cell division 14 Molecular basis of inheritance, DNA replication 15 Meiosis 16 Principles of inheritance Chromosomes, linkage and recombination 17 Case Study II 18 Gene expression: transcription and translation 19 Gene regulation, Development 20 Introduction to and mechanisms of evolution 21 Methods for studying evolution 22 Population genetics 23 Speciation 24 History of life on Earth, Phylogeny 25 Introduction to Ecology 26 Population Ecology 27 Community and Ecosystem ecology 28 Conservation Biology and restoration
1. Course: Math 1371 – CSE Calculus I 2. Workload: 4 credits; 5 contact hours 3. Coordinator: Jennie Morgan and Eoin O’Hara
4. Textbook and other materials: Miracle, Calculus for Engineering 1, 2nd edition, 2016
5. Specific course information
a. Catalog Description: Differentiation of single-variable functions, basics of integration of single-variable functions. Applications: max-min, related rates, area, curve-sketching. Use of calculator, cooperative learning.
b. Prerequisites: i. CSE or pre-bioprod & biosys engn (PRE),
ii. background in precalculus, geometry, visualization of functions/graphs iii. familiarity with graphing calculators recommended
c. Role in Program: required 6. Specific goals for the course
a. Course Outcomes: i. CSE Calculus I (Math 1371) is the first semester in a multi-semester
calculus sequence, primarily for students in CSE. Problem solving is at the heart of any mathematics course. In this course some problems would involve purely mathematical issues, like finding the derivative of a polynomial or determining the features of the graph of a rational function.
ii. Other problems involve taking a real world situation like predicting the trajectory of a projectile or analyzing population growth and decline, requiring students to first identify the mathematically relevant aspects, then define appropriate mathematical variables and relations, and finally solve the resulting mathematics problem.
iii. Practically every homework assignment, quiz, and exam requires students to solve problems. Students receive ample feedback about this learning outcome during the semester.
b. Criterion 3 Outcomes and Program Criteria: i. (1) apply math, science or engineering
7. Topics:
Chapter 1 Limits for Derivatives Chapter 2 Review of Lines Chapter 3 The Tangent Problem Chapter 4 The Velocity Problem Chapter 5 The Definition of Derivative Chapter 6 The Power Formula Chapter 7 The Quotient Rule Chapter 8 Derivatives of Trigonometric Functions
Chapter 9 Composite Functions Chapter 10 Chain Rule Chapter 11 Implicit Functions Chapter 12 Differentiating Implicit Functions Chapter 13 Derivatives of Inverse Functions Chapter 14 Velocity and other Rates of Change Chapter 15 High Derivatives Chapter 16 Hyperbolic Functions Chapter 17 Differentials Chapter 18 Related Rates Chapter 19 Increasing and Decreasing Functions Chapter 20 First Derivative Test Chapter 21 Concavity Chapter 22 Second Derivative Test Chapter 23 Maximum and Minimum at Bounding Points Chapter 24 Finding Local Maxima and Local Minima Chapter 25 Optimization Chapter 26 Review of Graphing Chapter 27 L’Hospital’s Rule Chapter 28 The Mean Value Theorem Chapter 29 Linearization Chapter 30 Introduction to Antiderivatives Chapter 31 Reverse Newton’s Method Chapter 32 Introducing the Chain Rule Chapter 33 The Substitution Rule Chapter 34 More Substitution Rule Chapter 35 The Area Problem Chapter 36 The Distance Problem Chapter 37 The Definition of the Definite Integral Chapter 38 The Fundamental Theorem of Calculus Chapter 39 Area and Velocity Chapter 40 Area Chapter 41 Velocity Chapter 42 Volume by Disks Chapter 43 Volume by Cylindrical Shells Chapter 44 Hard Volumes of Revolution Chapter 45 Work Chapter 46 Pumping Water Chapter 47 Mean Value Theorem for Integrals
1. Course: PHYS1301W – Introductory Physics for Science and Engineering I 2. Workload: 4 credits; 6.8 instructor contact hours per week 3. Coordinator: Jennifer Kroschel
4. Text book and other materials:
a. Mazur, Princples and Practice of Physics, 1st edition b. Lab manual
5. Specific course information a. Catalog Description: Use of fundamental principles to solve quantitative
problems. Motion, forces, conservation principles, structure of matter. Applications to mechanical systems.
b. Prerequisites: i. Calculus I (MATH 1371) – Concurrent registration allowed
c. Role in Program: required 6. Specific goals for the course
a. Course Outcomes: i. The class exposes the student to physical principles and concepts,
demonstrates how these principles can be applied to quantitatively describe natural phenomena, and provides the student with an opportunity to perform hands-on experiments and measurements that model how physical knowledge is obtained. The basic principles of classical mechanics and conservation principles are described with particular emphasis to their application in current technology, using mathematical analysis at the level of basic calculus. The development of conceptual understanding of physical principles and their quantitative application are further deepened in the discussion section, where students practice problem solving skills. In addition, familiarity with the methods and findings of the physical sciences not only forms a crucial component of a common education, but also prepares students to be scientifically literate citizens.
ii. Because all knowledge in the physical sciences is empirically acquired, the laboratory component of the course is essential to properly expose students to the scientific method and the ways of knowing and thinking in the physical sciences. The lab component involves the formulation of scientifically sound predictions by the student, followed by empirical testing of the hypotheses through hands-on experimentation. Since the language of the physical world is mathematical, quantitative analysis of experimental data is an essential aspect of the lab experience. Physics, like all sciences, is a social endeavor, and students are exposed to cooperative problem solving, working in small groups with other students, in both the laboratory and discussion sections of the course.
b. Criterion 3 Outcomes and Program Criteria: i. (1) apply math science or engineering
ii. (6) design and conduct experiments iii. (3) communications
7. Topics:
• One dimensional motion, constant and non-constant acceleration • Motion in 2 and 3D; displacement; velocity; acceleration as vectors • Projectile motion; uniform circular motion • Newton’s first law: inertia, force, mass • Newton’s second law: Newton’s third law • Friction and drag; curved path numerical integration • Center of mass, constant and variable forces; work problems • Potential energy and conservation of mechanical energy • Conservation of energy • Mass and energy • Universal law of gravitation • Conservation of linear momentum; system kinetic energy, collisions, rockets • Rotation, moment of inertia, Newton’s second law: rotation, rolling • Torque and angular momentum • Equilibrium; statics applications; stability; stress and strain • Simple harmonic motion; damped harmonic motion • Driven harmonic motion and resonance
1. Course: Math 2373 – CSE Linear Algebra and Differential Equations 2. Workload: 4 credits; 5 contact hours 3. Coordinator: Professor Greg Anderson
4. Textbook and other materials a. Farlow, McDill, & West, Differential Equations & Linear Algebra, Custom 2nd Edition and Matlab. 5. Specific course information
a. Catalog Description: Linear algebra: basis, dimension, eigenvalues/eigenvectors. Differential equations: linear equations/systems, phase space, forcing/resonance, qualitative/numerical analysis of nonlinear systems, Laplace transforms. Use of computer technology.
b. Prerequisites: i. Calculus II (Math 1372 w/grade of at least C-)
ii. CSE or pre-Bio Prod/Biosys Engr. student c. Role in Program: required
6. Specific goals for the course
a. Course Outcomes: i. CSE Linear Algebra and Differential Equations [Math 2373] is part of a
multi-semester calculus sequence, primarily for students in CSE. ii. Practically every homework assignment, quiz, and exam requires students
to solve problems. Students receive ample feedback about this learning outcome during the semester.
b. Criterion 3 Outcomes and Program Criteria: i. (1) Apply math, science or engineering
7. Topics Chapter 1: First-Order Differential Equations 1.1 Dynamical Systems: Modeling 1.2 Solutions and Direction Fields: Qualitative Analysis 1.3 Separation of Variables : Quantitative Analysis 1.4 Approximation Methods: Numerical Analysis 1.5 Picard’s Theorem: Theoretical Analysis Chapter 2: Linearity and Nonlinearity 2.1 Linear Equations: The Nature of Their Solutions 2.2 Solving the First-Order Linear Differential Equations 2.3 Growth and Decay Phenomena 2.4 Linear Models: Mixing and Cooling 2.5 Nonlinear Models: Logistic Equation 2.6 Systems of Differential Equations: A First Look Chapter 3: Linear Algebra
3.1 Matrices: Sums and Products 3.2 Systems of Linear Equations 3.3 The Inverse of a Matrix 3.4 Determinants and Cramer’s Rule 3.5 Vector Spaces and Subspaces 3.6 Basis and Dimension Chapter 4: Higher-Order Linear Differential Equations 4.1 The Harmonic Oscillator 4.2 Real Characteristic Roots 4.3 Complex Characteristic Roots 4.4 Undetermined Coefficients 4.5 Variation of Parameters 4.6 Forced Oscillations 4.7 Conservation and Conversion Chapter 5: Linear Transformations 5.1 Linear Transformations 5.2 Properties of Linear Transformations 5.3 Eigenvalues and Eigenvectors 5.4 Coordinates and Diagonalization Chapter 6: Linear Systems of Differential Equations 6.1 Theory of Linear DE Systems 6.2 Linear Systems and Real Eigenvalues 6.3 Linear Systems and Nonreal Eigenvalues 6.4 Stability and Linear Classification 6.5 Decoupling a Linear DE System 6.6 Matrix Exponential 6.7 Nonhomogenous Linear Systems Chapter 8: Laplace Transforms 8.1 The Laplace and Its Inverse 8.2 Solving DEs and IVPS with Laplace Transforms 8.3 The Step Function and the Delta Function 8.4 The Convolution Integral and the Transfer Function 8.5 Laplace Transform Solution of Linear Systems Chapter 9: Discrete Dynamical Systems 9.1 Iterative Equations 9.2 Linear Iterative Systems 9.3 Nonlinear Iterative Equations: Chaos Again
1. Course: PHYS1302W – Introductory Physics for Science and Engineering II 2. Workload: 4 credits; 6.8 instructor contact hours per week 3. Coordinator: Jennifer Kroschel 4. Text book and other materials:
a. Mazur, Princples and Practice of Physics, 1st edition b. Lab manual
5. Specific course information a. Catalog Description: Use of fundamental principles to solve quantitative
problems. Motion, forces, conservation principles, fields, structure of matter. Applications to electromagnetic phenomena.
b. Prerequisites: i. Physics I (PHYS1301W)
ii. Calculus II (MATH 1372) – Concurrent registration allowed c. Role in Program: required
6. Specific goals for the course
a. Course Outcomes: i. The class exposes the student to physical principles and concepts,
demonstrates how these principles can be applied to quantitatively describe natural phenomena, and provides the student with an opportunity to perform hands-on experiments and measurements that model how physical knowledge is obtained. The fundamental principles of electricity and magnetism are explored and the application of these physics concepts in modern technology is emphasized. The development of conceptual understanding of physical principles and their quantitative application are further deepened in the discussion section, where students practice problem solving skills. In addition, familiarity with the methods and findings of the physical sciences not only forms a crucial component of a common education, but also prepares students to be scientifically literate citizens.
ii. Because all knowledge in the physical sciences is empirically acquired, the laboratory component of the course is essential to properly expose students to the scientific method and the ways of knowing and thinking in the physical sciences. The lab component involves the formulation of scientifically sound predictions by the student, followed by empirical testing of the hypotheses through hands-on experimentation. Since the language of the physical world is mathematical, quantitative analysis of experimental data is an essential aspect of the lab experience. Physics, like all sciences, is a social endeavor, and students are exposed to cooperative problem solving, working in small groups with other students, in both the laboratory and discussion sections of the course.
b. Criterion 3 Outcomes and Program Criteria: i. (1) apply math, science or engineering
ii. (6) design and conduct experiments iii. (3) communications
7. Topics:
• Electric fields and forces • Gauss and electrical potential • Capacitance, dielectrics • Magnetic fields and forces; Ampere’s Law • B-field in matter; induction • AC circuits • Electromagnetic waves
1. Course: Math 1372 – CSE Calculus II 2. Workload: 4 credits; 5 contact hours
3. Coordinator: Jennie Morgan and Eoin O’Hara 4. Textbook and other materials:
a. Miracle, Calculus for Engineering II, 2nd Edition. 2016 5. Specific course information
a. Catalog Description: Techniques of integration. Calculus involving transcendental functions, polar coordinates, Taylor polynomials, vectors/curves in space, cylindrical/spherical coordinates. Use of calculators, cooperative learning.
b. Prerequisites: i. Calculus I (Grade of at least C- in MATH 1371)
ii. CSE or pre-Bioprod/Biosys Engr student c. Role in Program: required
6. Specific goals for the course
a. Course Outcomes: i. Practically every homework assignment, quiz, and exam requires students
to solve problems in integral calculus. Students receive ample feedback about this learning outcome during the semester.
b. Criterion 3 Outcomes and Program Criteria: i. (1) apply math, science or engineering
7. Topics:
Chapter 1 Review of Substitution Chapter 2 Integration of Parts Chapter 3 Integration using Trigonometric Identities Chapter 4 Integration Using Partial Fractions Chapter 5 Substitution in Definite Integrals Chapter 6 Numerical Integration Chapter 7 Improper Integrals Chapter 8 Arc Length and Surface Area Chapter 9 First Moments and Centroids Chapter 10 Hydrostatic Force Chapter 11 Variables Separable Chapter 12 Exponential Growth Chapter 13 The Logistic Equation Chapter 14 Euler’s Method Chapter 15 First Order Linear Differential Equations Chapter 16 Polar Coordinates Chapter 17 Graphing Polar Equations Chapter 18 Area of Simple Polar Region Chapter 19 Area Between Polar Curves Chapter 20 Introduction to Vectors
Chapter 21 Addition of Vectors Chapter 22 The Dot Product Chapter 23 The Position Vector and Lines Chapter 24 Calculus of Vector Functions Chapter 25 Velocity and Acceleration Chapter 26 Limits of Sequences Chapter 27 Finite Arithmetic and Geometric Series Chapter 28 Definition of Infinite Series Chapter 29 The Comparison Test Chapter 30 Alternating Series Chapter 31 Ratio Test Chapter 32 Power Series Chapter 33 Taylor’s Series and Polynomials Chapter 34 Applications of Taylor Polynomials Chapter 35 Manipulating Power Series Chapter 36 Vectors in Three Space Chapter 37 Dot Product in Space Chapter 38 Cross Product Chapter 39 Three Dimensional Position Vector Chapter 40 Vector Calculus in Three Space Chapter 41 Velocity in Three Dimensions
1. Course: Math 2374 – CSE Multivariable Calculus and Vector Analysis
2. Workload: 4 credits; 5 contact hours
3. Coordinator: Professor Natalie Sheils 4. 5. Textbook and other materials:
a. Marsden & Tromba, Vector Calculus, 6th Edition, 2012 and Mathematica
6. Specific course information a. Catalog Description: Derivative as linear map. Differential/integral calculus of
functions of several variables, including change of coordinates using Jacobians. Line/surface integrals. Gauss, Green, Stokes theorems. Use of computer technology.
b. Prerequisites: i. Calculus II (Math 1372 w/grade of at least C-)
ii. CSE or pre-Bio Prod/Biosys Engr. student c. Role in Program: required
7. Specific goals for the course
a. Course Outcomes: i. CSE Multivariable Calculus and Vector Analysis [Math 2374] is part of a
multi-semester calculus sequence, primarily for students in CSE ii. Practically every homework assignment, quiz, and exam requires students
to solve problems. Students receive ample feedback about this learning outcome during the semester.
b. Criterion 3 Outcomes and Program Criteria: i. (1) apply math, science or engineering
8. Topics:
Chapter 1: The Geometry of Euclidean Space 1.3 Matrices, Determinants and the Cross Product 1.4 Cylindrical and Spherical Coordinates 1.5 n-Dimensional Euclidean Space Chapter 2: Differentiation 2.1 The Geometry of Real-Valued Functions 2.3 Differentiation
2.4 Introduction to Paths and Curves 2.5 Properties of the Derivative 2.6 Gradients and Directional Derivatives Chapter 3: Higher-Order Derivatives; Maxima and Minima 3.1Iterated Partial Derivatives 3.2 Taylor’s Theorem 3.3 Extrema of Real-Valued Functions Chapter 4: Vector-Valued Functions 4.1 Acceleration and Newton’s Second Law
4.2 Arc Length 4.3 Vector Fields 4.4 Divergence and Curl Chapter 5: Double and Triple Integrals 5.2 The Double Integral Over a Rectangle 5.3 The Double Integral Over More General Regions 5.4 Changing the Order of Integration 5.5 The Triple Integral Chapter 6: The Change of Variables Formula and Applications Integration 6.1 The Geometry of Maps from R2 to R2
6.2 The Change of Variables Theorem Chapter 7: Integrals Over Paths and Surfaces 7.1 The Path Integral 7.2 Line Integrals 7.3 Parametrized Surfaces 7.4 Area of Surface 7.5 Integrals of Scalar Functions Over Surfaces 7.6 Surface Integrals of Vector Fields Chapter 8: The Integral Theorems of Vector Analysis 8.1 Green’s Theorem 8.2 Stokes’ Theorem 8.3 Conservative Fields 8.4 Gauss’ Theorem