ece102

Course Title:

Vector Analysis

Date Effective:

July 2009

Date Revised:

April 2009

Prepared by:

GOAVendano

Approved by:

FSCaluyo

of 5

MAPÚA INSTITUTE OF TECHNOLOGY School of EE-ECE-COE

COURSE SYLLABUS

1. Course Code : ECE102

2. Course Title : VECTOR ANALYSIS

3. Pre-requisite : MATH24 (Differential Equations)

4. Co-requisite : None

5. Credit/ Class Schedule: 3 units

6. Course Description : This course deals with vector algebra, vector calculus,

vector analysis and their applications with focus in Electromagnetics.

7. Program Outcomes and Relationship to Program Educational Objectives

Program Outcomes

Program

Educational Objectives

1 2 3 4

(a) An ability to apply knowledge of mathematics, science, √ √

VISION

Mapúa shall be an international center of excellence in technology education by:

providing instructions that are current in content and state-of-the art in delivery;

engaging in cutting-edge research; and

responding to the big local and global technological challenges of the times

MISSION

a) The mission of Mapúa Institute of Technology is to disseminate, generate, preserve and

apply scientific, engineering, architectural and IT knowledge.

b) The Institute shall, using the most effective means, provide its students with professional

and advanced scientific and engineering, architectural and information technology education

through rigorous and up-to-date academic programs with ample opportunities for the

exercise of creativity and the experience of discovery.

c) It shall implement curricula that, while being steeped in technologies, shall also be rich in

the humanities, languages and social sciences that will inculcate ethics.

d) The Institute shall advance and preserve knowledge by undertaking research and reporting

on the results of such inquiries.

e) The Institute, singly or in collaboration with others, shall bring to bear the world's vast store

of knowledge in science, engineering and other realms on the problems of the industry and

the community in order to make the Philippines and the world a better place.

PROGRAM EDUCATIONAL OBJECTIVES MISSION

a b c d e

1. To equip graduates with a broad foundation of basic

engineering concepts and fundamentals of Electronics

Engineering.

addre

ssed b

y D

LH

S

2. To develop in graduates the capability to apply learned

concepts in engineering design and to implement them as a

practicing engineers.

3. To inculcate in graduates the importance of lifelong

learning.

4. To develop in graduates an appreciation of technology and

determine its application in the advancement of society.

Course Title:

Vector Analysis

Date Effective:

July 2009

Date Revised:

April 2009

Prepared by:

GOAVendano

Approved by:

FSCaluyo

of 5

and engineering

(b) An ability to design and conduct experiments, as well as to analyze and interpret data

√ √ √ √

(c) An ability to design a system, component, or process

to meet desired needs √ √ √

(d) An ability to function on multi-disciplinary teams √ √ √

(e) An ability to identify, formulate, and solve engineering

problems √ √ √ √

(f) An understanding of professional and ethical

responsibility √ √ √ √

(g) An ability to communicate effectively √ √ √ √

(h) The broad education necessary to understand the impact of engineering solutions in a global and societal context

√ √ √ √

(i) A recognition of the need for, and an ability to engage

in life-long learning √ √ √ √

(j) A knowledge of contemporary issues √ √ √ √

(k) An ability to use the techniques, skills, and modern engineering tools necessary for engineering practice.

√ √ √

8. Course Objectives and Relationship to Program Outcomes:

Course Objectives The students should be able to:

Program Outcomes

a b c d e f g h i j k

1. perform relevant operations related to

vector analysis;

2. relate some electrical field concepts as

applied from vector operations;

3. recognize the importance of vector operations in the treatment of Maxwell’s

equations

9. Course Coverage:

WEEK TOPIC METHODOLOGY &

STRATEGY EVALUATION TOOLS

1

Orientation; Mapua Mission, Vision, Core Values

Scalars, Vectors, Unit Vectors Lecture, problem solving

Vector Multiplication : Dot and Cross product, Triple Products

Lecture, problem solving

2

Vector Analysis: Cylindrical and Spherical Coordinates System


Vector Analysis: Point and Vector Transformation


Vector Analysis: Point and Vector Transformation

(continued)

Lecture, problem

solving

3

Practice Exercises on

Coordinate System

Seatwork, Group work

or Board work

Examination Number 1 Examination

Differential Length, Surface, and Volume


4 Line, Surface and Volume Lecture, problem

Course Title:

Vector Analysis

Date Effective:

July 2009

Date Revised:

April 2009

Prepared by:

GOAVendano

Approved by:

FSCaluyo

of 5

Integral solving

Del operator; Gradient of Scalar Fields


Practice Exercises Seatwork, Group work

or Board work

5


Divergence of Vector Fields;

Divergence theorem

Lecture, problem

solving

Curl of Vector Fields; Stokes’

theorem

Lecture, problem

solving

6

Continuation; Laplacian of

Scalar Fields

Lecture, problem

solving

Null identities of vectors;

Solenoidal and irrational fields;

Lecture, problem

solving


or Board work

7


Introduction to Electrostatics; Coulomb’s Law; Field Intensity

at a Point

Lecture, problem

solving

Electric Fields Due to

Continuous Charge Distributions

Lecture, problem

solving

8

Electric Flux Density; Gauss Law


Gauss’ law applications; Discussion of Maxwell’s First

Equation


Electric Potential; Relation of

Potential to Field Intensity

Lecture, problem

solving

9

Ohm’s law; Discussion of

Maxwell’s Second Equation

Lecture, problem

solving

Electric Dipole and Flux lines

Lecture, problem

solving

Energy Density in Electrostatic

Fields

Lecture, problem

solving

10


or Board work


Verification of Student records; Review for the final examination

11

FINALS

Final examination

10. Course Outcomes and Relationship to Course Objectives/ Program Outcomes

Course Outcomes A student completing this course should at the minimum

be able to:

Course

Objectives

Program Outcomes

1 2 3 a b c d e f g h i j k

Perform basic operations on vectors

Transform vectors to various

coordinate systems based on the nature of the field

Course Title:

Vector Analysis

Date Effective:

July 2009

Date Revised:

April 2009

Prepared by:

GOAVendano

Approved by:

FSCaluyo

of 5

distributions

recognize various field

quantities and their significance in engineering electromagnetics problems;

identify some fundamental laws of electromagnetic

theory;

know and apply Maxwell’s

first two equations.

11. Contribution of Course to Meeting the Professional Component:

Engineering topics – 90%

General education component – 10 %

12. Textbook : Engineering Electromagnetics, 7th ed., by William H. Hayt Jr. and John A. Buck, McGraw Hill, 2006.

13. Course Evaluation :

The minimum requirement for a passing grade is 60% final grade average from the

following: Quizzes 60 %

Final Examination 25 % Seatworks 5 % Homeworks 5 %

Written Reports 5 % TOTAL 100 %

Aside from academic deficiency, other grounds for a failing grade are:

Cheating during examinations More than 20 % of the total number of meetings missed in a quartermester

Failure to take the final examination with no valid excuse.

14. Other References: Applied electromagnetics: early transmission lines approach by Wentworth, 2006

Practical electromagnetics: from biomedical sciences to wireless by Misra, 2006 Electromagnetic theory by Stratton, 2007 Fundamentals of applied electromagnetics by Fawwaz T. Ulaby, 2007

Elements of Electromagnetics, 4th edition by Sadiku Enginnering electromagnetics by Rajeev Bansal, 2006

Principles & techniques of electromagnetic compatibility by Christos Christopolous, 2007 Electromagnetic theory and applications for photonic crystals by Roman

Kruzelecky/Emile, 2006 Engineering electromagnetics, 7th ed., Hayt, Jr. William H., 2006

Electromagnetic waves. – 2nd ed. By Someda, Carlo G., 2006 Electromagnetic theory by Stratton, Julius Adams, 2007 Fundamentals of engineering electromagnetics by Bansal, Rajeev, 2006

Applied electromagnetics : early transmission lines approach by Wentworth, Stuart M., 2007

Course Title:

Vector Analysis

Date Effective:

July 2009

Date Revised:

April 2009

Prepared by:

GOAVendano

Approved by:

FSCaluyo

of 5

15. Course Materials Made Available:

Course goals and instructional objectives

Course schedule for lectures and exams End of course self-assessment report

16. Committee Members:

Glenn Avendano [email protected]

Vic Dennis U.Chua [email protected]

Armando M. Evangelista Jr. [email protected] Glen Magwili

[email protected] 2475000 local 2300

ece102

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