department of mathematics - fullerton

Spring 2021

California State University, Fullerton

College of Natural Sciences & Mathematics

Spring 2021

Department of Mathematics

Table of Contents

Quick Reference Guide ...............................................................................................................2

Bachelor of Arts, Mathematics Catalog ....................................................................................3

Math 180-210-107-207 Flyer ......................................................................................................7

STEM 150A Flowchart Diagram ...............................................................................................8

Actuarial Sciences Concentration Flyer ....................................................................................9Actuarial Sciences Concentration 8-Term Academic Plan (8-TAP) ......................................10 Actuarial Sciences Concentration Prerequisite Chart ............................................................12

Classical Applied Math Concentration 8-TAP ........................................................................13Classical Applied Math Concentration Prerequisite Chart ...................................................15

Computational Applied Math Concentration 8-TAP .............................................................16Computational Applied Math Concentration Prerequisite Chart ........................................18

Probability & Statistics Concentration 8-TAP........................................................................19Probability & Statistics Concentration Prerequisite Chart...................................................21

Pure Math Concentration 8-TAP ............................................................................................22Pure Math Concentration Prerequisite Chart .......................................................................24

Teaching Math Concentration 8-TAP .....................................................................................25Teaching Math Concentration Prerequisite Chart ................................................................27

Supplemental Instruction (SI) Math Workshop Informational Flyer ..................................28

Tentative Math Upper-Division & Graduate Course Listing (2020-25) ...............................30

Master of Arts, Mathematics Catalog .....................................................................................31

Master of Science, Statistics Catalog .......................................................................................34

1

Quick Reference Guide

Department Contact • Class permits: Abe Roldan ([email protected]) or Renee Bennett ([email protected])• Major advising: Math faculty advisor will be assigned in your first semester and may be changed.• Releasing holds: Renee Bennett ([email protected]) or Abe Roldan ([email protected])• Schedule a meeting with Math Department Chair: Abe Roldan ([email protected])• TDA Exceptions: Abe Roldan ([email protected]) or Renee Bennett ([email protected])• Transfer course evaluations: Abe Roldan ([email protected])

Department of Mathematics Resources • Fullerton Math Circle

o Prof. Bogdan Suceava ([email protected])• Graduate Readiness and Access in Mathematics (GRAM)

o Dr. Scott Annin, CSUF GRAM Program Director ([email protected])o Dr. Anael Verdugo, CSUF GRAM Program Co-Director ([email protected])

• Noyce Scholarship Program, Transitioning Math Majors into Teaching (TMMT)o Dr. Cherie Ichinose ([email protected])o Dr. David Pagni ([email protected]);

• Scholarships & Awards• Student Research & Competitions• Student Groups

o Prime Club: [email protected] CSUF Math Club: [email protected] S.M.A.R.T. Girls: [email protected]

• Student Employmento Graders: Abe Roldan ([email protected])o SI Leaders: Amanda (Henning) Martinez ([email protected]) or Ashley Thune-Aguayo

([email protected])o Teaching Associate: Renee Bennett ([email protected])o Tutor: NSM Student Success Team ([email protected])

• Careers in Matho Careers in Statisticso Careers in Applied Math

College of Natural Sciences & Mathematics Resources • NSM Student Success Team Staff• NSM Student Success Center Tutoring• Project Raise• Student Clubs & Organizations• Research Opportunities• Future Science & Math Teachers• Campus Resources

2

mailto:[email protected]








https://www.fullerton.edu/math/resources/mathcircle.php

mailto:[email protected]?subject=

https://www.fullerton.edu/math/resources/gram.php



https://www.fullerton.edu/math/resources/tmmt.php



https://www.fullerton.edu/math/resources/scholarships.php

https://www.fullerton.edu/math/resources/competitions.php

https://www.fullerton.edu/math/resources/groups.php




https://www.fullerton.edu/math/resources/studentemployment.php






https://www.fullerton.edu/math/resources/careers.php

https://sastat.org.za/sites/default/files/documents/files/ASA.pdf

https://www.siam.org/Portals/0/Student%20Programs/Thinking%20of%20a%20Career/brochure.pdf?ver=2018-03-13-125027-530

https://www.fullerton.edu/nsm/student_success/Student_Success_Staff.php

https://www.fullerton.edu/nsm/student_success/NEW_Student_Success_Center.php

https://www.fullerton.edu/nsm/student_success/Transfer%20Students.php

https://www.fullerton.edu/nsm/student_success/student_clubs.php

https://www.fullerton.edu/nsm/student_success/research_opportunities-1.php

https://www.fullerton.edu/nsm/student_success/Campus%20Resources.php

https://www.fullerton.edu/nsm/student_success/Campus%20Resources.php

3

B A C H E L O R O F A R T S

M A T H E M A T I C S

DEPARTMENT CHAIR

Dr. Alfonso Agnew

VICE CHAIR

Dr. Adam Glesser

DEPARTMENT INFORMATION

Office: MH 154

Phone: (657) 278-3631 Web Site: http://fullerton.edu/math

PROGRAMS OFFERED

Bachelor of Arts in Mathematics Pure Mathematics Concentration

Applied Mathematics Concentration Actuarial Science Concentration

Probability and Statistics Concentration

Teaching Mathematics Concentration

Minor in Mathematics Minor in Mathematics for Teacher

Education

Master of Arts in Mathematics Teaching Option

Applied Mathematics Option

Statistics Option Special Topics Option

Subject Matter Preparation Program for

The Single Subject Credential

FACULTY

Mansour Abdoli, Alfonso Agnew, Scott

Annin, George Arthur, Sam Behseta, Derdei Bichara, Martin Bonsangue, Alain Bourget,

Gulhan Bourget, Nicholas Brubaker, Todd

CadwalladerOlsker, Riley Casper, Laura Chowdhury, Cherlyn Converse, Bridget

Druken, Jolene Fleming, Adam Glesser, Zair Ibragimov, Cherie Ichinose, Mortaza

Jamshidian, Jessica Jaynes, Kristin Kurianski,

Sunny Le, Charles H. Lee, HeeJeong Lim, Christopher Lyons, Amanda Martinez,

Armando Martinez-Cruz, Alison Marzocchi, Tyler McMillen, Tommy Murphy, Andrew

Nguyen, Kevin Nichols, David Pagni, Valerie

Poynor, Matt Rathbun, Stephanie Reed, Shoo Seto, Ernie Solheid, Roberto Soto, Bogdan

Suceava, Ashley Thune-Aguayo, Anael Verdugo, Hassan Yousefi

The Department of Mathematics offers a standard undergraduate major program

in mathematics with options in pure mathematics, applied mathematics, actuarial

science, probability and statistics, and for prospective teachers. Courses are

provided to satisfy the needs of:

• Students planning graduate study in mathematics;

• Students planning to use mathematics in a career in business, industry or

government;

• Students planning on a career in teaching;

• Students majoring in a discipline using mathematics as an analytic or

descriptive tool.

The major program is designed to give sufficient breadth and depth in the study of

mathematics to prepare students for subsequent graduate study in mathematics or

related areas. If you would like information about actuarial science, please

contact the department office.

REQUIREMENTS FOR THE MAJOR

The courses required for the major are listed below. In addition, all mathematics

majors are expected to be skilled in elementary computer programming. Majors

may choose from MATH 320, CPSC 120 or CPSC 121. Those selecting the

computer science cognate are required to take CPSC 120 or 121. These

requirements should be completed prior to junior standing. The Department of

Mathematics also requires that each student select one of the cognates from the

disciplines of Chemistry, Civil Engineering, Computer Science, Economics,

Finance, Information Systems and Decision Sciences, Mathematics, Physics or

Research. All courses in mathematics required for the major, the cognate and the

computer-programming course, must be completed with a grade of C or better.

CORE REQUIREMENTS (25 UNITS)

• MATH 150A, B Calculus (4, 4)

• MATH 250A Multivariate Calculus (4)

• MATH 250B Introduction to Linear Algebra & Differential Equations (4)

• MATH 280 Strategies of Proof (3)

• MATH 307 Linear Algebra (3)

• MATH 350 Advanced Calculus I (3)

http://math.fullerton.edu/

4

ADDITIONAL REQUIREMENTS (21 – 23 UNITS) Each student is required to complete one of the following concentrations:

Pure Mathematics Concentration (21 units)

• MATH 302 Modern Algebra (3)

• MATH 414 Topology (3)

• MATH 450 Advanced Calculus II ( 3)

And four courses from the following list:

• MATH 407 Abstract Algebra (3)

• MATH 412 Complex Analysis (3)

• MATH 425 Differential Geometry (3)

• MATH 430 Number Theory (3)

• MATH 471 Combinatorics (3)

Applied Mathematics Concentration (21 units)

Choose one of the two tracks:

Modeling and Computational Applied Mathematics Track

MATH 306 Vector and Tensor Analysis (3)

MATH 310 Ordinary Differential Equations (3)

MATH 335 Mathematical Probability (3)

MATH 340 Numerical Analysis (3)

MATH 370 Mathematical Model Building (3)

And two courses from the following list:

MATH 406 Intro to Partial Differential Equations (3)

MATH 440 Advanced Numerical Analysis (3)

MATH 470 Advanced Mathematical Model Building (3)

Or

Classical Applied Mathematics Track

MATH 302 Modern Algebra (3)

MATH 306 Vector and Tensor Analysis (3)

MATH 310 Ordinary Differential Equations (3)

MATH 406 Intro to Partial Differential Equations (3)

MATH 425 Differential Geometry (3)


MATH 412 Complex Analysis (3)

MATH 414 Topology (3)

MATH 450 Advanced Calculus II (3)

Actuarial Science Concentration (22 Units)

• FIN 415 Quantitative Theory of Interest (3)

• FIN 444 Options and Futures (3)

• MATH 335 Mathematical Probability (3)

• MATH 338 Statistics Applied to Natural Sciences (4)

• MATH 438 Introduction to Stochastic Processes (3)

• MATH 439 Intermediate Data Analysis (3)

• MATH 460 Actuarial Models (3)

Probability and Statistics Concentration (23 Units)


• MATH 338 Statistics Applied to Natural Sciences (4)

• MATH 435 Mathematical Statistics (3)

• MATH 437 Modern Approaches to Data Analysis (4)

• MATH 438 Introduction to Stochastic Processes (3)

• MATH 439 Data Analysis (3)

And one course from the following list:

• MATH 340 Numerical Analysis (3)

• MATH 370 Mathematical Model Building (3)

Teaching Mathematics Concentration (21-22 units)

• MATH 302 Modern Algebra (3)


• MATH 370 Mathematical Model Building (3)

o or MATH 338 Statistics Applied to Natural Sciences (4)

• MATH 401 Algebra & Probability for the Secondary Teacher (3)

• MATH 402 Logic & Geometry for the Secondary Teacher (3)

5


• MATH 407 Abstract Algebra (3)

• MATH 414 Topology (3)

• MATH 417 Foundations of Geometry (3)

• MATH 430 Number Theory (3)

• MATH 471 Combinatorics (3)

COGNATES (9 – 11 UNITS) Each student is required to select one of the following cognates:

Chemistry Cognate (10 Units)

• CHEM 120A General Chemistry (5)

• CHEM 120B General Chemistry (5)

Civil Engineering Cognate (9 Units)

• EGCE 201 Statics (3)

• EGCE 301 Mechanics of Materials (3)


• EGCE 302 Dynamics (3)

• EGCE 325 Structural Analysis (3)

Computer Science Cognate (10 Units)

• CPSC 131 Data Structures Concepts (3)

• CPSC 223J Java Programming (3)

▪ or CPSC 223N Visual C# Programming (3)

• CPSC 240 Computer System Architecture I (3)

▪ or CPSC 332 File Structures and Database Systems (3)

• CPSC 253U Operating System Workshop in Unix (1)

Economics Cognate (9 Units)

• ECON 201 Principles of Microeconomic (3)

• ECON 202 Principles of Macroeconomics (3)


• ECON 310 Intermediate Microeconomics Analysis (3)

• ECON 320 Intermediate Macroeconomic Analysis (3)

• ECON 440 Econometrics (3)

• ECON 441 Mathematical Economics (3)

Finance Cognate (9 Units)

• FIN 320 Financial Management I (3)


• FIN 340 Introduction to Investments (3)

• FIN 360 Principles of Insurance (3)

• ISDS 473 Applied Business Forecasting (3)

Information Systems and Decision Sciences Cognate (9 units)

• Three adviser-approved ISDS courses

Physics Cognate (11 Units)

• PHYS 225 Mechanics (3)

• PHYS 225L Fundamental Physics: Laboratory (1)

• PHYS 226 Fundamental Physics: Electricity Magnetism (3)

• PHYS 226L Fundamental Physics: Laboratory (1)

• PHYS 227 Fundamental Physics: Waves, Optics and Modern Physics (3)

Mathematics Cognate (9 Units)

Three upper-division courses in Mathematics from one of the four concentrations of the Mathematics major other than the

student’s own concentration.

6

• PHYS 226L Fundamental Physics: Laboratory (1)• PHYS 227 Fundamental Physics: Waves, Optics and Modern Physics (3)

Mathematics Cognate (9 Units) Three upper-division courses in Mathematics from one of the four concentrations of the Mathematics major other than the student’s own concentration.

Research Cognate (9 Units) The research cognate is intended for students that would benefit more from research and a thesis than a standard cognate, for example, a student intending to enter graduate school in mathematics. The research/advisor connection must be established by mutual consent, and prior to enrollment in cognate courses, the undergraduate research committee must approve a cognate plan. The student must pass a thesis defense at the end of the term in which the final cognate courses are completed. Although only one unit of seminar is formally required, it is strongly encouraged that the seminar course be taken during the entire research cognate process. Students should begin the cognate no later than their junior year.

• MATH 491 Research Seminar (1)• MATH 497 Undergraduate Research (3, 3)• MATH 498 Senior Thesis (2)

COMPUTER PROGRAMMING REQUIREMENT (3 units) • MATH 320 Introduction to Mathematical Computation (3)

or• CPSC 120 Introduction to Programming (3)

or• CPSC 121 Object-Oriented Programming (3)

WRITING REQUIREMENT MATH 380 History of Mathematics (3) will satisfy the university writing requirement for mathematics majors.

REQUIREMENTS FOR THE MINOR The Mathematics minor consists of 25 units of course work, which must include MATH 150A, 150B, 250A, 250B, and at least 9 units of upper division mathematics courses. MATH 303A, 303B, 380, 401, 402, 403A, 403B, 495, 496 and 499 may not be used to meet this requirement. All courses must be completed with a grade of C or better.

MATHEMATICS MINOR FOR TEACHER EDUCATION For elementary education the minor consists of 20 units of course work selected from the courses offered by the Department of Mathematics. The courses must include MATH 150B or MATH 338 as well as MATH 303A and 303B. Courses must be completed with a grade of C or better.

For secondary education the minor consists of 22 units of course work selected from the courses in the Department of Mathematics. The courses must include MATH 250B and six units of upper division courses in mathematics. Courses must be completed with a grade of C or better. This does not meet the Subject Matter Preparation for the Single Subject Credential.

SINGLE SUBJECT TEACHING CREDENTIAL IN MATHEMATICS The Department of Mathematics offers coursework meeting the requirements for the California Single Subject Credential in Mathematics. To be recommended for this credential, an individual must have completed the department’s state-approved Single Subject Matter Preparation Program or equivalent, and have completed the two-semester math education and teacher education program, which includes methodology coursework and the student teaching experience. Students may enter this program in either the fall or spring semester. Students should contact the Department of Secondary Education for information on the application process and orientation meetings.

DEPARTMENT LOCATION For further information contact the Department of Mathematics, California State University, Fullerton, McCarthy Hall 154, Fullerton, California 92831-3599 or telephone (657) 278-3631, or see our web page at http://math.fullerton.edu.

STEM 150A

CATEGORY PLACEMENTS

M1 M2 M3/M4

150A 115A 150A

115Arecommended for

M4 ALEKS ALEKS ALEKS

125

150A

125

150A

150A

150A

150A 115B AND 116

115B AND 116

8

College of Natural Sciences and Mathematics DEPARTMENT OF MATHEMATICS

MATHEMATICS BACHELOR OF ARTS CLASS OF 2024

CONCENTRATION IN ACTUARIAL SCIENCE :

TERM 1 TERM 2 TERM 3 TERM 4 TERM 5 TERM 6 TERM 7 TERM 8 MATH 150A

(GE B.4) 4 units

MATH 150B 4 units

MATH 250A 4 units

MATH 250B 4 units

MATH 335 3 units

MATH 435 3 units

MATH 438 or MATH 439

3 units

MATH 460 3 units

MATH 180

(Cognate I ^a) 3 units

MATH 151B 1 unit

MATH 338 (GE B.5) 4 units

MATH 280 3 units

MATH 307 3 units

FIN 340 (Cognate III)

3 units

MATH 350 3 units

FIN 444 3 units

MATH 151A 1 unit

GE A.2 3 units

MATH 251A 1 unit

FIN 415 3 units

Math 320 (Computer

Programming) 3 units

MATH 380 (Upper Division

Writing) 3 units

GE B.3 1 unit

GE C.1 3 units

CNSM 101 (GE A.3) 3 units

GE B.2 3 units

GE B.1 3 units

GE C.2 3 units

FIN 320 (Cognate II)

3 units

GE A.1 3 units

GE E 3 units

3 units Electives

to complete 120 units

ECON 201 (D.1)

3 units

ECON 202 (Elective)

3 units

GE C.1 or C.2 3 units

GE D.2 3 units

GE D.3 3 units

3 units Electives to complete 120

units

3 units Electives


Upper Division GE D.4 3 units

Upper Division GE C.3 3 units

14 units 14 units 15 units 16 units 15 units 15 units 16 units 15 units

a. Other cognates are also available – see reverse side

37 GE lower division 6 GE upper division

59 Mathematics Required Courses 3 Mathematics Supporting Courses 3 Pick 1 of 2 Courses

12 Electives 120 TOTAL UNITS

INSTRUCTIONS FOR COMPLETING THE MATHEMATICS BACHELOR OF ARTS 1. Meet with your assigned faculty advisor each semester to plan and review your academic progress.2. Visit your College of Natural Sciences and Mathematics Student Success Team in MH 488 to review GE and graduation

requirements.3. Complete GE courses in areas A1, A2, and A3 with a C- or higher. One GE Course in B, C, D, or E must double-count as a

Z course. Check your Titan Degree Audit for courses that appear in both categories.4. All Mathematics courses must be completed with a grade of C or higher.5. Apply for Graduation through your Student Center at the start of Term 7.

Revised June 2020

Mat

hem

atic

s B.A

.

10

MATHEMATICS BACHELOR OF ARTS ACTUARIAL SCIENCE Concentration

The Math Major is for students who are preparing to (1) enter a graduate study in mathematics, (2) seek math-related careers in business, industry or government, or (3) pursue a career in teaching.

MATHEMATICS CORE AND SUPPORTING COURSES Complete the courses listed below:

Course Course Title MATH 150A Calculus I MATH 151A Calculus I Workshop MATH 150B Calculus II MATH 151B Calculus II Workshop MATH 250A Calculus III MATH 251A Calculus III Workshop MATH 250B Intro to Linear Algebra and Differential Equations MATH 280 Strategies of Proof MATH 307 Linear Algebra MATH 350 Advanced Calculus I

Actuarial Science Concentration Requirements (22 units total)

FIN 415 Quantitative Theory of Interest (3) FIN 444 Options and Futures (3) MATH 335 Mathematical Probability (3) MATH 338 Statistics Applied to Natural Sciences (4) MATH 435 Mathematical Statistics (3) MATH 438 OR MATH 439

Introduction to Stochastic Processes (3) Intermediate Data Analysis (3)

MATH 460 Actuarial Models (3)

COGNATE OPTIONS Each student is required to select one of the following cognates:

Chemistry 10 Units CHEM 120A General Chemistry (5) CHEM 120B General Chemistry (5)

Civil Engineering 9 Units

EGCE 201 Statics (3) EGCE 301 Mechanics of Materials (3)

EGCE 302 OR EGCE 325

Dynamics (3) Structural Analysis (3)

Computer Science 10 Units CPSC 131 Data Structures Concepts (3) CPSC 223H OR CPSC 223J OR CPSC 223N

Visual BASIC Programming (3) Java Programming (3) Visual C# Programming (3)

CPSC 240 OR CPSC 332

Computer System Architecture I (3) File Structures and Database Systems (3)

CPSC 253U Operating System Workshop in Unix (1)

Economics 9 Units ECON 201 Principles of Microeconomics (3) ECON 202 Principles of Macroeconomics (3) ECON 310 OR ECON 320 OR ECON 440 OR ECON 441

Intermediate Microeconomics Analysis (3) Intermediate Macroeconomics Analysis (3) Econometrics (3) Mathematical Economics (3)

Finance 9 Units FIN 320 Financial Management (3) Two of the following three course options: FIN 340 Introduction to Investments (3) FIN 360 Principles of Insurance (3) ISDS 473 Applied Business Forecasting (3)

Intro to Math 11 Units

MATH 107 Intro to Computational Linear Algebra (4) MATH 180 Strategies of Problem Solving (3) MATH 210 Intro to Laplace Transforms and Fourier Series (4)

ISDS 9 Units Three advisor-approved ISDS courses

Physics 11 Units PHYS 225 Mechanics (3) PHYS 225L Fundamental Physics: Laboratory (1) PHYS 226 Fundamental Physics: Electricity Magnetism (3) PHYS 226L Fundamental Physics: Laboratory (1)

PHYS 227 Fundamental Physics: Waves, Optics and Modern Physics (3)

Mathematics 9 Units Three upper-division Mathematics courses from one of four Mathematics major concentrations other than student’s concentration.

Research 9 Units MATH 491 Research Seminar (1) MATH 497 Undergraduate Research (3,3) MATH 498 Senior Thesis (2)

*The research cognate is intended for students that would benefit more fromresearch and a thesis than a standard cognate. Student should begin this cognate no later than their junior year.

UNIVERSITY & GE REQUIREMENTS

Upper Division Writing RequirementTo meet the upper-division baccalaureate writing requirement, students must pass with a “C” (2.0) or better MATH 380.

Computer Programming RequirementTo meet the elementary computer programming requirement, students must pass with a “C” (2.0) or better MATH 320, CPSC 120 or CPSC 121. GENERAL EDUCATION REQUIREMENTS

Area A Core Competencies – Complete one course in each subarea for a total of 9 units of lower division.

Subarea Title

A1 Oral Communications

A2 Written Communication

A3 Critical Thinking (CNSM 101) Area B Scientific and Quantitative Reasoning – Complete one course in eachsubarea; the course in B3 must be associated with the course taken to satisfy B1 or B2. Area B courses must include 9 lower division and 3 upper division units (*).

Subarea Title

B1 Physical Science

B2 Life Science

B3 Laboratory Experience

B4 Mathematics/Quantitative Reasoning

B5 (*) Implications/Explorations in Math and Natural Sciences

Area C Arts and Humanities – Complete 3 units from C.1; 3 units from C.2; 3 units from C.3; and 3 units from either C.1 or C.2 for a total of 9 lower division and 3 upper division units (*).

Subarea Title

C1 Introduction to the Arts

C2 Introduction to the Humanities

C3 (*) Explorations in the Arts/Humanities Area D Social Sciences – Complete 9 lower and 3 upper division units (*).

Area Title

D1 Introduction to the Social Sciences

D2 American History, Institutions, and Values

D3 American Government

D4 (*) Explorations in the Social Sciences Area E Lifelong Learning and Self Development – Complete 3 units.

Area Z Cultural Diversity. (3 units). One GE Course in B, C, D, or E mustdouble-count as a Z course (check TDA or CSUF website for courses that appear in both categories).

11

CSUF Actuarial Science Concentration

180 FProblemSolving

107 F/SComp. Lin.Algebra †

150A F/S/SuCalculus I

210 F/SInt. Calc. &Diff. Eqns. *

250A F/S/SuCalculus III

280 F/S/SuStrategies of

Proof

380 F/SHistory of

Mathematics

207 F/SDiff. Eqns. &

Lin. Alg. †

350 F/S/SuAdvancedCalculus I

307 F/SLinear

Algebra

338 F/S/SuStatistics

Applied toNat. Sciences

335 F/S/SuMathematical

Probability

435 SMathematical

Statistics

460 SActuarialModels

438 FStochasticProcesses

439 FIntermediateData Analysis

437 SModern Data

Analysis

FIN 320 F/S/SuBusinessFinance

FIN 340 F/S/SuIntro. to

Investments

FIN 360 F/S/SuPrinciples of

Insurance

FIN 415 F/SQuantitative

Theory ofInterest

FIN 444 F/S/SuOptions and

Futures

= Recommended

= Required of all math majors

= Required for concentration

= Choose 1 of 3

= Fulfills Finance cognate

* 210 replaceable by 150B

† 107+207 replaceable by 250B+320

suggested

suggestedsuggested

suggested

Updated: June 30, 202012



CONCENTRATION IN APPLIED MATHEMATICS CLASSICAL :

TERM 1 TERM 2 TERM 3 TERM 4 TERM 5 TERM 6 TERM 7 TERM 8

MATH 150A (GE B.4) 4 units

MATH 150B 4 units

MATH 250A 4 units

MATH 250B 4 units

MATH 306 3 units

MATH 310 3 units

MATH 414 3 units


3 units

MATH 180


MATH 107

(Cognate II ^a)

4 units

MATH 210 (Cognate III

^a) 4 units

MATH 280 3 units

MATH 307 3 units

MATH 350 3 units

MATH 425 3 units

MATH 406 3 units

MATH 151A 1 unit

MATH 151B 1 unit

MATH 251A 1 unit

MATH 320 (Computer


MATH 380 (Upper

Division Writing) 3 units

MATH 302 3 units

GE B.3 1 unit

GE A.1 3 units

GE A.2 3 units

GE B.1 3 units

GE C.2 3 units

GE E 3 units

GE D.1 3 units

3 units of elective


2 units of elective



GE B.2 3 units


GE D.2 3 units

GE D.3 3 units

GE C.1 3 units

3 units of electives


Upper Division GE B.5 3 units


Upper Division GE

C.33 units




57 Mathematics Required Courses 3 Mathematics Supporting Courses 6 Pick 2 of 3 Courses 8 Electives

120 TOTAL UNITS

INSTRUCTIONS FOR COMPLETING THE MATHEMATICS BACHELOR OF ARTS 1. Meet with your assigned faculty advisor each semester to plan and review your academic progress.2. Visit your College of Natural Sciences and Mathematics Student Success Team in MH 488 to review

GE and graduation requirements.3. Complete GE courses in areas A1, A2, and A3 with a C- or higher. Complete a total of 12 units in GE

Area B. One GE Course in B, C, D, or E must double-count as a Z course. Check your Titan DegreeAudit for courses that appear in both categories.

4. All Mathematics courses must be completed with a grade of C or higher.5. Apply for Graduation through your Student Center at the start of Term 7.Revised June 2020

Mat

hem

atic

s

13

MATHEMATICS BACHELOR OF ARTS APPLIED MATHEMATICS CLASSICAL Concentration




Applied Classical Concentration Requirements (21 units total)Applied Mathematics Classical Required Courses (15 units)

MATH 302 Modern Algebra (3) MATH 306 Vector and Tensor Analysis (3) MATH 310 Ordinary Differential Equations (3) MATH 406 Intro to Partial Differential Equations (3) MATH 425 Differential Geometry (3)

Applied Mathematics Classical Elective Courses (6 units)

MATH 412 Complex Analysis (3) MATH 414 Topology (3) MATH 450 Advanced Calculus II (4)



Civil Engineering 9 Units EGCE 201 Statics (3) EGCE 301 Mechanics of Materials (3)











Intro to Math 11 Units

MATH 107 Intro to Computational Linear Algebra (4) MATH 180 Strategies of Problem Solving (3) MATH 210 Intro to Laplace Transforms and Fourier Series (4)







UNIVERSITY & GE REQUIREMENTS Upper Division Writing RequirementTo meet the upper-division baccalaureate writing requirement, students must passwith a “C” (2.0) or better MATH 380.

Computer Programming RequirementTo meet the elementary computer programming requirement, students must pass with a “C” (2.0) or better MATH 320, CPSC 120 or CPSC 121. GENERAL EDUCATION REQUIREMENTS Area A Core Competencies – Complete one course in each subarea for a total of 9 units of lower division.

Subarea Title




Subarea Title

B1 Physical Science

B2 Life Science

B3 Laboratory Activity


B5(*) Implications/Explorations in Math and Natural Sciences


Subarea Title



C3(*) Explorations in the Arts/Humanities Area D Social Sciences – Complete 9 lower and 3 upper division units (*).

Area Title




D4(*) Explorations in the Social Sciences Area E Lifelong Learning and Self Development – Complete 3 units.


14

CSUF Classical Applied Mathematics Concentration

180 FProblemSolving




210 F/SInt. Calc. &

Diff. Eqns. *



Proof

380 F/SHistory of

Mathematics


Lin. Alg. †

307 F/SLinear

Algebra

302 F/SModernAlgebra

306 FVector and

TensorAnalysis

310 SOrdinary

DifferentialEquations

406 SIntro. PartialDifferentialEquations

425 FDifferentialGeometry


414 FTopology

412 FComplexAnalysis

450 SAdvancedCalculus II

= Replaces cognate units



= Choose 2 of 3






CONCENTRATION IN APPLIED MATHEMATICS COMPUTATIONAL :



MATH 150B 4 units

MATH 250A 4 units

MATH 250B 4 units

MATH 306 3 units

MATH 307 3 units

MATH 350 3 units


3 units

MATH 180


MATH 107

(Cognate II ^a)

4 units


^a) 4 units

MATH 280 3 units

MATH 340 3 units

MATH 310 3 units

MATH 440 3 units

MATH 380 (Upper


MATH 151A 1 unit

MATH 151B 1 unit

MATH 251A 1 unit

MATH 320 (Computer


MATH 370 3 units

MATH 335 3 units

GE B.3 1 unit

GE C.1 3 units

GE A.1 3 units

GE A.2 3 units

GE B.1 3 units

GE C.2 3 units

GE D.3 3 units

GE D.1 3 units

GE E 3 units


GE B.2 3 units


GE D.2 3 units

3 units of elective


2 units of elective


3 units of elective




Upper Division GE

C.33 units





120 TOTAL UNITS




4. All Mathematics courses must be completed with a grade of C or higher.5. Apply for Graduation through your Student Center at the start of Term 7.

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MATHEMATICS BACHELOR OF ARTS

APPLIED MATHEMATICS COMPUTATIONAL Concentration




Applied Computational Concentration Requirements (21 units total)Applied Mathematics Computational Required Courses (15 units)

MATH 306 Vector and Tensor Analysis (3) MATH 310 Ordinary Differential Equations (3) MATH 335 Mathematical Probability (3) MATH 340 Numerical Analysis (3) MATH 370 Mathematical Model Building (3)

Applied Mathematics Computational Elective Courses (6 units)

MATH 406 Intro to Partial Differential Equations (3) MATH 440 Advanced Numerical Analysis (3) MATH 470 Advanced Mathematical Model Building (4)














Intro to Math 11 Units MATH 107 Intro to Computational Linear Algebra (4) MATH 180 Strategies of Problem Solving (3) MATH 210 Intro to Laplace Transforms and Fourier Series (4)







UNIVERSITY & GE REQUIREMENTS Upper Division Writing RequirementTo meet the upper-division baccalaureate writing requirement, students must pass with a “C” (2.0) or better MATH 380.


Subarea Title A1 Oral Communications A2 Written Communication A3 Critical Thinking (CNSM 101)

Area B Scientific and Quantitative Reasoning – Complete one course in eachsubarea; the course in B3 must be associated with the course taken to satisfy B1 or B2. Area B courses must include 9 lower division and 3 upper division units (*).

Subarea Title B1 Physical Science B2 Life Science B3 Laboratory Experience B4 Mathematics/Quantitative Reasoning



Subarea Title C1 Introduction to the Arts C2 Introduction to the Humanities C3 (*) Explorations in the Arts/Humanities

Area D Social Sciences – Complete 9 lower division and 3 upper div units (*).

Area Title D1 Introduction to the Social Sciences D2 American History, Institutions, and Values D3 American Government D4 (*) Explorations in the Social Sciences

Area E Lifelong Learning and Self Development – Complete 3 units.


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CSUF Modeling and Computational Applied Mathematics Concentration Courses

180 FProblemSolving



210 F/SInt. Calc. &

Diff. Eqns. *



Proof

380 F/SHistory of

Mathematics


Lin. Alg. †


310 SOrd. Diff.Equations

306 FVec. & Tens.

Analysis

307 F/SLinear

Algebra

340 F/SNumericalAnalysis

370 FMath. Model

Building


Probability

406 SIntro. toPDE’s

440 FNum. Sols.of PDE’s

470 SAdv. Model

Building




= Choose 2 of 3






CONCENTRATION IN PROBABILITY AND STATISTICS :



MATH 150B 4 units

MATH 250A 4 units

MATH 250B 4 units

MATH 338 (GE B.5) 4 units

MATH 335 3 units

MATH 438 3 units

MATH 435 3 units

MATH 180


MATH 107

(Cognate II ^a)

4 units


^a) 4 units

MATH 280 3 units

MATH 307 3 units

MATH 340 3 units

MATH 439 3 units

MATH 437 4 units

MATH 151A 1 unit

MATH 151B 1 unit

MATH 380 (Upper


MATH 320 (Computer



3 units

GE D.1 3 units

MATH 350 3 units

GE A.1 3 units

GE A.2 3 units

MATH 251A 1 unit

GE C.2 3 units

GE C.1 3 units

GE B.3 1 unit

GE E 3 units



GE B.2 3 units

GE B.1 3 units

GE D.2 3 units

GE D.3 3 units

3 units of elective


3 units of elective



3 units of elective


Upper Division GE

C.33 units

14 units 15 units 15 units 16 units 13-16 units 13-16 units 15 units 16 units




120 TOTAL UNITS





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MATHEMATICS BACHELOR OF ARTS PROBABILITY & STATISTICS Concentration




Probability & Statistics Concentration Requirements (23 units total)Probability & Statistics Required Courses (20 units)

MATH 335 Mathematical Probability (3) MATH 338 Statistics Applied to Natural Sciences (4) MATH 435 Mathematical Statistics (3) MATH 437 Modern Approaches to Data Analysis (4) MATH 438 Introduction to Stochastic Processes (3) MATH 439 Data Analysis (3)

Probability & Statistics Elective Courses (3 units)

MATH 340 Numerical Analysis (3) MATH 370 Mathematical Model Building (3)




















*The research cognate is intended for students that would benefit more from research and a thesis than a standard cognate. Student should begin this cognate no later than their junior year.

UNIVERSITY & GE REQUIREMENTS Upper Division Writing RequirementTo meet the upper-division baccalaureate writing requirement, students must passwith a “C” (2.0) or better MATH 380.


Subarea Title




Subarea Title

B1 Physical Science

B2 Life Science

B3 Laboratory Experience


B5 (*) Implications/Explorations in Math and Natural Sci Area C Arts and Humanities – Complete 3 units from C.1; 3 units from C.2; 3 units from C.3; and 3 units from either C.1 or C.2 for a total of 9 lower division and 3 upper division units (*).

Subarea Title



C3 (*) Explorations in the Arts/Humanities Area D Social Sciences – Complete 9 lower and 3 upper division units (*).

Area Title




D4 (*) Explorations in the Social Sciences Area E Lifelong Learning and Self Development – Complete 3 units.


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CSUF Probability and Statistics Concentration

180 FProblemSolving




210 F/SInt. Calc. &

Diff. Eqns. *



Proof

380 F/SHistory of

Mathematics


Lin. Alg. †

307 F/SLinear

Algebra


338 F/S/SuStatistics

Applied toNat. Sciences

340 F/SNumericalAnalysis

370 FMath. Model

Building335 F/S/SuMathematical

Probability

439 FIntermediateData Analysis

437 SModern Data

Analysis438 F

StochasticProcesses

435 SMathematical

Statistics




= Choose 1 of 2



suggested

suggested




CONCENTRATION IN PURE MATHEMATICS :



MATH 150B 4 units

MATH 250A 4 units

MATH 250B 4 units

MATH 302 3 units

MATH 350 3 units

MATH 414 3 units

MATH 450 3 units

MATH 180


MATH 107

(Cognate II ^a)

4 units


^a) 4 units

MATH 280 3 units

MATH 307 3 units

MATH 407 3 units


3 units

MATH 412 3 units

MATH 151A 1 unit

MATH 151B 1 unit

MATH 380 (Upper


MATH 320 (Computer


GE C.1 3 units

MATH 430 3 units

GE B.3 1 unit

GE A.1 3 units

GE A.2 3 units

MATH 251A 1 unit

GE C.2 3 units

GE E 3 units

GE D.1 3 units




GE A.3 CNSM 101

3 units

GE B.2 3 units

GE B.1 3 units

GE D.2 3 units

GE D.3 3 units







Upper Division GE

C.33 units




51 Mathematics Required Courses 3 Mathematics Supporting Courses

12 Pick 4 of 5 Courses 8 Electives

120 TOTAL UNITS





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MATHEMATICS BACHELOR OF ARTS PURE MATHEMATICS Concentration




Pure Mathematics Concentration Requirements (21 units total)Pure Mathematics Required Courses (9 units)

MATH 302 Modern Algebra (3) MATH 414 Topology (3) MATH 450 Advanced Calculus II (3)

Pure Mathematics Elective Courses (12 units)

MATH 407 Abstract Algebra (3) MATH 412 Complex Analysis (3) MATH 425 Differential Geometry (3) MATH 430 Number Theory (3) MATH 471 Combinatorics (3)





















UNIVERSITY & GE REQUIREMENTS Upper Division Writing RequirementTo meet the upper-division baccalaureate writing requirement, students must pass with a “C” (2.0) or better MATH 380. Computer Programming RequirementTo meet the elementary computer programming requirement, students must pass with a “C” (2.0) or better MATH 320, CPSC 120 or CPSC 121. GENERAL EDUCATION REQUIREMENTS Area A Core Competencies – Complete one course in each subarea for a total of 9 units of lower division.






Subarea Title C1 Introduction to the Arts C2 Introduction to the Humanities C3 (*) Explorations in the Arts/Humanities

Area D Social Sciences – Complete 9 lower and 3 upper division units (*).

Area Title D1 Introduction to the Social Sciences D2 American History, Institutions, and Values D3 American Government D4 (*) Explorations in the Social Sciences

Area E Lifelong Learning and Self Development – Complete 3 units.


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CSUF Pure Mathematics Concentration

180 FProblemSolving




210 F/SInt. Calc. &

Diff. Eqns. *



Proof

380 F/SHistory of

Mathematics


Lin. Alg. †

307 F/SLinear

Algebra



407 SAbstractAlgebra

412 FComplexAnalysis

414 FTopology

450 SAdvancedCalculus II

471 FCombinatorics

430 SNumberTheory

425 FDifferentialGeometry




= Choose 4 of 5



or307

or 302




CONCENTRATION IN TEACHING MATHEMATICS :



MATH 150B 4 units

MATH 250A 4 units

MATH 250B 4 units

MATH 302 3 units

MATH 335 3 units

MATH 401 3 units

MATH 402 3 units

MATH 180


MATH 107

(Cognate II ^a)

4 units


^a) 4 units

MATH 280 3 units

MATH 307 3 units

MATH 350 3 units


3 units

MATH 407 or MATH 417 or

MATH 430 3 units

MATH 151A 1 unit

MATH 151B 1 unit

MATH 380 (Upper


MATH 320 (Computer


Math 338 (GE B.5) 4 units

GE D.1 3 units

GE B.3 1 unit

GE A.1 3 units

GE A.2 3 units

MATH 251A 1 unit

GE C.2 3 units

GE C.1 3 units

GE D.3 3 units

GE E 3 units


GE B.2 3 units

GE B.1 3 units

GE D.2 3 units

3 units of elective



4 units of elective



3 units of elective


Upper Division GE

C.33 units


a. CNSM 101 may be used as a “wild card” replacement course for any cognateb. Other cognates are also available – see reverse side


58 Mathematics Required Courses 3 Mathematics Supporting Courses 6 Pick 2 of 5 Courses

10 Electives 120 TOTAL UNITS


GE and graduation requirements.3. Complete GE courses in areas A1, A2, and A3 with a C- or higher. One GE Course in B, C, D, or E

must double-count as a Z course. Check your Titan Degree Audit for courses that appear in bothcategories.


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MATHEMATICS BACHELOR OF ARTS TEACHING MATHEMATICS Concentration

The Math Major is for students who are preparing to (1) enter a graduate study in mathematics, (2) seek math-related careers in business, industry or government, or (3) pursue a career in teaching. MATHEMATICS CORE AND SUPPORTING COURSES Complete the courses listed below:


Teaching Mathematics Concentration Requirements (21-22 units total)Teaching Mathematics Required Courses (15-16 units)

MATH 302 Modern Algebra (3) MATH 335 Mathematical Probability (3) MATH 370 OR MATH 338 OR MATH 375

Mathematical Model Building (3) Statistics Applied to Natural Sciences (4) Discrete Dynamical Systems and Chaos (3)

MATH 401 Algebra & Prob for the Secondary Teacher (3) MATH 402 Logic & Geometry for the Secondary Teacher (3)

Teaching Mathematics Elective Courses (6 units)

MATH 407 Abstract Algebra (3) MATH 414 Topology (3) MATH 417 Foundations of Geometry (3) MATH 430 Number Theory (3) MATH 471 Combinatorics (3)













Finance 9 Units FIN 320 Financial Management (3) Two of the following three course options: FIN 340 Introduction to Investments (3) FIN 360 Principles of Insurance (3)

ISDS 473 Applied Business Forecasting (3)







*The research cognate is intended for students that would benefit more from research and a thesis than a standard cognate. Student should begin this cognate no later than their junior year.

UNIVERSITY & GE REQUIREMENTS Upper Division Writing RequirementTo meet the upper-division baccalaureate writing requirement, students must pass with a “C” (2.0) or better MATH 380.

Computer Programming RequirementTo meet the elementary computer programming requirement, students must pass with a “C” (2.0) or better MATH 320, CPSC 120 or CPSC 121. GENERAL EDUCATION REQUIREMENTS

Area A Core Competencies – Complete one course in each subarea for a total of 9 units of lower division.




B5(*) Implications/Explorations in Math and Natural Science


Subarea Title C1 Introduction to the Arts C2 Introduction to the Humanities C3(*) Explorations in the Arts/Humanities

Area D Social Sciences – Complete 9 lower division and 3 upper div units (*).

Area Title D1 Introduction to the Social Sciences D2 American History, Institutions, and Values D3 American Government D4(*) Explorations in the Social Sciences

Area E Lifelong Learning and Self Development – Complete 3 units. Area Z Cultural Diversity. (3 units). One GE Course in B, C, D, or E mustdouble-count as a Z course (check TDA or CSUF website for courses that appear in both categories).

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CSUF Teaching Mathematics Concentration

180 FProblemSolving




210 F/SInt. Calc. &

Diff. Eqns. *



Proof

380 F/SHistory of

Mathematics


Lin. Alg. †

307 F/SLinear

Algebra


338 F/S/SuApplied

Statistics

370 FMath. Model

Building


Probability


417 SFoundationsof Geometry

407 SAbstractAlgebra

430 SNumberTheory

471 FCombinatorics

414 FTopology

401 F/SAlg. & Prob.Secdry. Tch.

402 S/SuLogic & Geo.Secdry. Tch.




= Choose 1 of 2

= Choose 2 of 5



Credential Program RequirementsEDSC 304EDSC 310EDSC 320EDSC 330EDSC 340EDSC 410

or307

or 302

Suggested

Require 12 units upper-division math


SI Math Workshop Information

Dear Math Students,

You may be interested to know that some math courses are linked to a Supplemental Instruction Workshop, also known as SIs. The SIs can make a significant impact on your achievement in the course. In fact, data show that SI students on average score nearly one-half to one grade point higher than do their non-SI counterparts.

What is SI? Supplemental Instruction (SI) is a series of workshops for students taking historically difficult courses, such as lower-division Math courses. SI is provided for all students who want to improve their understanding of course material and improve their grades.

For you, the student, it’s a chance to get together with people in your class to compare notes, to discuss important concepts, to develop strategies for studying the subject, and to test yourselves before your professor does, so that when he/she does, you’ll be ready. At each session you will be guided through this material by your SI leader, a competent student who has previously taken the course.

Enrollment is limited to the first 20 students per SI section, so try to sign up when you register for classes.

If you have any questions or can't get into an SI section, please contact Ms. Thune-Aguayo ([email protected]) or Ms. Martinez ([email protected]).

Here's to getting great grades in math!

HOW TO ENROLL IN AN SI SECTION:

SI Sections are available for Math 115, 125, 130, 135, 150A/B, and 250A/B. The SI Sections are one-unit, credit/no-credit classes. You will sign up for these classes through Titan Online, just like any other class. You are free to attend any of the SI workshops for your class.

Math Class Number SI Workshop Number Math 115 – College Algebra Math 115W Math 125 - Precalculus Math 125W Math 130 – Short Calc. Math 130W Math 135 – Business Calc. Math 135W Math 150A – Calculus I Math 151A Math 150B – Calculus II Math 151B Math 250A – Calculus III Math 251A Math 250B – Differential Eq. and Linear Alg. Math 251B

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Again, if you have any questions, please contact Ms. Thune-Aguayo ([email protected]) or Ms. Martinez ([email protected]).

Supplemental Instruction FAQ’s: Q: How do I sign up for the SI workshop? A: You enroll in the SI workshop through Titan Online, just like any other class.

Q: How is the SI workshop graded? A: The SI workshop is a Credit/No Credit class. If you miss more than 3 sessions, you will receive a grade of No Credit (NC); if you miss 3 or fewer sessions, you will receive a grade of Credit (CR).

Q: Is this mandatory? Do I get extra credit in my math class for signing up for the SI workshop? A: No, the SI workshop is not mandatory, and you do not receive extra credit. However, data shows that you are very likely to improve your understanding of the material (and your grade) by participating in an SI workshop.

Q: I already have 16 units, and I am not allowed to sign up for any more. Can I still sign up for an SI workshop? A: No, the SI workshop counts as a unit, and you are not allowed to exceed the unit cap. However, you may still attend the SI session even if you are not enrolled.

Q: What should I do if I have another class that conflicts with the SI workshop? A: You can sign up for any section of the workshop, as long as space is still available. A listing of all open workshop sections is available through Titan Online.

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F 20 SP 21 SU 21 F 21 SP 22 SU 22 F 22 SP 23 SU 23 F 23 SP 24 SU 24 F 24 SP 25 SU 25107 Intro Comp Lin Alg X X X X X X X X X X180 Strat Prob Solv X X X X X207 Diff Equ with Lin Alg X X X X X X X X X X210 Intro Laplace Transf X X X X X X X X X X302 Modern Algebra X X X X X X X X X X303A Fun Conc of Elementary Math X X X X X X X X X X303B Fun Conc of Elementary Math X X X X X X X X X X306 Vector And Tensor Analysis X X X X X307 Linear Algebra X X X X X X X X X X310 Ordinary Diff Equations X X X X X320 Intro Computational Math X X X X X X X X X X335 Mathematical Probability X X X X X X X X X X X X X X X338 Stat App Nat Sciences X X X X X X X X X X X X X X X340 Numerical Analysis X X X X X X X X X X350 Advanced Calculus I X X X X X X X X X X X X X X X370 Math Model Bldg. X X X X X380 History of Mathematics X X X X X X X X X X401 Alg/Prob Secndry Tch X X X X X X X X X X402 Logic/Geo Secndry Tch X X X X X X X X X X403A Fun Conc Mid Sch Math I X X X X X403B Fun Conc Mid Sch Math II X X X X X406 Intro to PDEs X X X X X407 Abstract Algebra X X X X X412 Complex Analysis X X X X X414 Topology X X X X X417 Foundations of Geometry X X X X X425 Differential Geometry X X X X X430 Number Theory X X X X X435 Mathematical Statistics X X X X X437 Modern Data Analysis X X X X X438 Stochastic Processes X X X X X439 Intermediate Data Analysis X X X X X440 Adv Numerical Analysis X X X X X450 Advanced Calculus II X X X X X460 Actuarial Models X X X X X470 Adv Model Bldg X X X X X471 Combinatorics X X X X X489A App Lin Alg and Applications X X X X X489B Applied Analysis X X X X X501A Found of Num Analysis X X X X X501B Sci Comp and Appl X X X X X502A Found of Prob and Stat X X X X X502B Comp Stat and Data Analys X X X X X503A Mathematical Modeling X X X X X503B Param Estim and Inv Probs X X X X X530 Prob and Stat Inference X X X X X531T Adv Topics Stats I X X X X X533 Topics in Statistical Learning X X X X X534 Statistical Computing X X X X X536 Categorical Data Analysis X X X X X537 Multivariate Analysis X X X X X538 Bayesian Statistics X X X X X539 Statistical Consulting X X X X X580 Studies in Math History X X X X X581 Studies in Geometry X X X X X582 Studies in Algebra X X X X X583 Topics in Statistics X X X X X584 Studies in Analysis X X X X X586 Studies in Discrete Math X X X X X587 Studies in Math Prob Solv X X X X X597 Ind Proj in Comp App Math X X X X XME442 Tch Math in Sec School X X X X X X X X X XME449 Sem Secondary Teaching X X X X X X X X X XME532 Tch Prob Solv Mid Sch Math X X XME542 Tch Math College X X X X X

COURSE/NAMETentative Math Major Only, Upper Division and Graduate Course Offerings (06/10/20)

DEPARTMENT OF MATHEMATICS

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M A T H E M A T I C S M A S T E R O F A R T S

DEPARTMENT CHAIR Alfonso Agnew

VICE CHAIR Adam Glesser

DEPARTMENT INFORMATION Office: MH 154 Phone: (657) 278-3631 Web Site: www.fullerton.edu/math

MASTER OF ARTS IN MATH Teaching Option Applied Mathematics Option

GRADUATE ADVISORS Teaching Option: Armando Martinez-Cruz, MH-380B (657) 278-4685 [email protected]

Applied Option: Charles H. Lee, MH-182E (657) 278-2726 [email protected]

FACULTY Mansour Abdoli, Alfonso Agnew, Scott Annin, George Arthur, Sam Behseta, Derdei Bichara, Martin Bonsangue, Alain Bourget, Gulhan Bourget, Nicholas Brubaker, Todd CadwalladerOlsker, Laura Chowdhury, Cherlyn Converse, Bridget Druken, Harriet Edwards, Jolene Fleming, Adam Glesser, Zair Ibragimov, Cherie Ichinose, Mortaza Jamshidian, Jessica Jaynes, Sunny Le, Charles H. Lee, HeeJeong Lim, Christopher Lyons, Amanda Martinez, Armando Martinez- Cruz, Alison Marzocchi, Tyler McMillen, Thomas Murphy, A. Loc Nguyen, Kevin Nichols, David Pagni, Valerie Poynor, Matthew Rathbun, Ernie Solheid, Roberto Soto, Bogdan Suceava, Ashley Thune-Aguayo, Anael Verdugo, Dwight Wynne, Hassan Yousefi

STAFF Renee Bennett - Admin. Support Coord. Abraham Roldan – Admin. Support Asst. Theodore Nguyen - Info. Technology

The M.A. in Mathematics provides advanced study for students with one or more of the following interests: a Ph.D. program in mathematics or mathematics education, teaching in high school or community college, or using mathematical analysis in government, business or industry. Two options are offered under the M.A. program: Teaching and Applied Mathematics.

The Applied Option is designed for individuals who are seeking, or who currentlyhold positions that involve mathematics or quantitative applications. With this MA, you can work in industry or teach at the community college level. It can also be used aspreparation for a Ph.D. program. Applicants must have completed at least two years of calculus, a computer programming course, one semester of mathematical probabilityand one semester of advanced calculus.

The M.A, Teaching Option is designed for those individuals who are presentlyteaching mathematics at the secondary level, or plan to teach at the community college level. This program also allows a student to continue on into a Ph.D. program inmathematics education. This option is a M.A, in mathematics, not in mathematicseducation. Students must have completed courses in linear algebra, modern algebra,probability, and advanced calculus. Teaching experience is recommended but notnecessary.

ADMISSION REQUIREMENTS Students are admitted in conditionally classified standing when the following requirements have been met:

A bachelor’s degree from an accredited institution

A grade-point average of at least 2.5 in the last 60 semester units attempted

Good standing at the last college attended

An undergraduate major in mathematics with a 3.0 in all upper divisionmathematics courses or a combination of previous course work and work experienceapproved as equivalent by the graduate committee of the Mathematics Department.

GRE scores and letters of recommendation are NOT required.

CLASSIFIED STANDING A student’s status is changed to classified standing when the following requirements have been met:

Completion of all prerequisites and/or deficiencies including the University WritingRequirement.

Development of a study plan approved by the Mathematics Department andAcademic Programs. The study plan should be developed prior to the completion of 9 units.

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http://www.fullerton.edu/math



WRITING REQUIREMENT Students admitted with a master’s degree objective are required to demonstrate writing ability prior to advancing to classified standing. This requirement may be met by appropriate course work (MATH 380 or other upper division writing course). Please consult the Graduate Regulations section of the University catalog or a graduate advisor for further information.

APPLIED PROGRAM The courses for this option have been developed in consultation with mathematicians and scientists in the local industrial community and are specifically intended for individuals who are seeking positions, or who currently hold positions, that involve mathematics or quantitative applications. The subject matter emphasizes modern practical applied mathematics, modeling, problem solving and computation. The culminating experience is a project in which students have the opportunity of working in teams on a real world problem, contracted and paid for by a local industrial firm. Students must enter the program in the fall semester and can graduate in two academic years, including a summer in between. All required courses are offered sequentially during the evening with six units per semester.

MATH 489A/B: Applicable Analysis and Linear Algebra (Fall) MATH 489A: Applicable Linear Algebra Prerequisites: undergraduate calculus, linear algebra, advanced calculus and consent of instructor. Corequisite: Math 489B. T opics from linear algebra useful in graduate studies in applied mathematics. Finite and infinite dimensional vector spaces, linear transformations and matrices. An introduction to Hilbert spaces. The projection theorem and some of its applications. (3 units) MATH 489B: Applicable Analysis Prerequisites: undergraduate calculus, linear algebra, advanced calculus and consent of instructor. Corequisite: Math 489A. Topics from analysis useful in graduate studies in applied mathematics. Topics may include initial and boundary value problems, including series solutions, eigenvalues and eigenfunctions, Fourier analysis, generalized functions, an introduction to the calculus of variations, and transform methods. (3 units)

MATH 501A/B: Numerical Analysis and Computation I and II (Spring)MATH 501A: Numerical Analysis and Computation I Prerequisites: Math 489A,B. Corequisite: Math 501B. Numerical methods for linear and nonlinear systems of equations, eigenvalue problems. Interpolation and approximation, spline functions, numerical differentiation, integration and function evaluation. Error analysis, comparison, limitations of algorithms. (3 units) MATH 501B: Numerical Analysis and Computation II Prerequisites: Math 489A,B. Corequisite: Math 501A. Numerical methods for initial and boundary-value problems for ordinary and partial differential equations. The finite element method. Error analysis, comparison, limitations of algorithms. (3 units)

MATH 502A/B: Probability and Statistics I and II (Summer)MATH 502A: Probability and Statistics I Prerequisites: Math 335 and 489A,B. Corequisite: Math 502B. Theory and applications of probability models including univariate and multivariate distributions; expectations and transformations of random variables. (3 units) MATH 502B: Probability and Statistics II Prerequisites: Math 335 and 489A,B. Corequisite: Math 502A. Theory and applications of sampling theory, statistical estimation, and hypothesis testing. (3 units)

MATH 503A/B: Mathematical Modeling I and II (Fall) MATH 503A: Mathematical Modeling I. Prerequisites: Math 502A, B. Corequisite: Math 503B. Mathematical modeling concepts. Topics may include: Dimensional analysis, Similitude, Mathematical Modeling based on Ordinary & Partial Differential Equations, Mathematical Methods Used in the Development and Analysis of Mathematical Models in Science and Engineering. (3 units) MATH 503B: Mathematical Modeling II. Prerequisites: Math 502A, B. Corequisite: Math 503A. Stochastic modeling concepts. Topics may include: Introduction to Stochastic Processes, Multivariate Statistics, Principal Components Analysis, Mean Square Estimation, Monte-Carlo & Discrete-Event Simulations, Application of Probability Models and Statistical Methods in Science and Engineering. (3 units)

MATH 597 Project (Spring) Prerequisite: consent of instructor. The project replaces the standard comprehensive examinations or thesis requirements. Students work in teams on projects that are sponsored by local industrial firms. Each team is supervised by a faculty member. The project is intended to provide a realistic industrial-like experience, complete with deadlines and a written final report, where students can put what they have learned to work, and where success is based on individual initiative, teamwork, and communication skills. Students in the Applied Master’s Program earn a total of 6 units.

TEACHING PROGRAM The M.A. in Mathematics, Teaching Option can be completed in two years (four semesters and one summer). This program is flexible; students can start classes in fall, spring and summer. This option requires 30 units of graduate study approved by the graduate committee. At least sixteen of these units must be 500-level mathematics courses. The following course work must be included:

MATH 581: Studies in Geometry (Fall) Prerequisites: Mathematics 307, graduate standing, plus one year of full-time teaching in secondary school mathematics. Topics relating to the high school curriculum from an advanced standpoint including the axiomatic method and non-Euclidean geometry. (3 units)

MATH 582: Studies in Algebra (Spring) Prerequisites: Mathematics 302, graduate standing, plus one year of full-time teaching in secondary school mathematics. Topics relating to the high school curriculum from an advanced standpoint including algorithms, fields and polynomials. (3 units)

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MATH 584: Studies in Analysis (Spring) Prerequisites: Mathematics 350, graduate standing, plus one year of full-time teaching in secondary school mathematics. Topics relating to the high school curriculum from an advanced standpoint including limits, continuity, differentiation and integration. (3 units)

MATH 586: Studies in Discrete Mathematics (Summer) Prerequisites: Mathematics 335 and one of the following: Math 320, Comp Sci 120, Comp Sci 121 or equivalent; graduate standing and one year of full time teaching in secondary school mathematics. Topics relating to the high school curriculum from an advanced standpoint including combinatorics, probability, matrices, and linear programming. (3 units)

MATH 587: Studies in Mathematical Problem Solving (Fall) Prerequisites: Math 302, graduate standing, plus one year of full-time teaching in secondary school mathematics. Problem solving via non-routine and enrichment-type problems from several branches of mathematics. (3 units)

MATH 599: Independent Graduate Research (Fall, Spring, Summer) Prerequisites: graduate standing and consent of instructor. One unit required for each regular graduate course. Also offered without being attached to any course. May be repeated for credit. (3-6 units)

Each student will take adviser-approved mathematical electives to meet the 30-unit requirement. One such elective, MATH 580, will also satisfy the Graduate Writing Requirement. Each student will also be required to pass a set of four comprehensive exams (MATH 581, MATH 582, MATH 584 and a choice between MATH 586 or MATH 587). Comprehensive exams may be taken no more than twice.

APPLICATION DEADLINE Apply online at http://www.calstate.edu/apply. The deadlines are around June 1 for fall, and December 1 for spring; they vary every term. Check the university graduate studies website for current information at http://www.fullerton.edu/graduate/.

ADDITIONAL INFORMATION Financial Aid, including teaching/research assistantships and out-of-state tuition/fee waiver, is available. For more information, contact Renee Bennett in Department of Mathematics at [email protected].

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http://www.calstate.edu/apply

http://www.fullerton.edu/graduate/


Degree of Master of Science in Statistics Department of Mathematics

CSUF Highlights All courses stream live via two-way stream. Students have a choice of attending classes in-person, or remotely. Accommodates full-time and part-time students, with late afternoon and evening classes. State-of-the art curriculum to serve the growing demand for professionals with knowledge

and training in data science and quantitative analysis. Well-qualified professors who are fully engaged with up-to-date research in the area of

statistics. Excellent job prospects for graduates of the program in industries, business, and

government agencies. Employment in government agencies such as U.S. Food and Drug Administration, Bureau of

Labor Statistics, U.S. Department of Agriculture, U.S. Census Bureau, National Institute ofHealth, Centers for Disease Control and Prevention (CDC), National Security Agency (NSA),Rand Corporation, National Highway Traffic Safety Administration, National Institute ofStandards and Technology, Environmental Protection Agency, Justice Department, Weightsand Measures Office, NASA, and U.S. Navy.

Employment in private local industries such as Smith Hanley Consulting Group, Astra-Zeneca international pharmaceutical company, Novartis AG , Vertex Pharmaceuticals,Amgen, Biogen, Children’s Hospital Boston, Brigham and Women's Hospital , Beth IsraelDeaconess Medical Center, Accenture Information Group, SAS Database Company,Thomson Reuters, Cytel, Novartis Institutes For Biomedical Research, Dana-Farber CancerInstitute, Vanguard, Hyatt Hotels Corporation.

The Program The Department of Mathematics at California State University, Fullerton (CSUF) offers a Master of Science degree in Statistics. This program aims to serve the growing demand for professionals with knowledge and training in data science and quantitative analysis as well as to provide a modern curriculum in statistics to meet this demand. The degree will accommodate full time and part time students by offering courses in late afternoon and evenings. It is unique nationally in that it is the first master’s degree in statistics that broadcasts all of its courses live via two-way stream on the Internet to students attending the program off-campus. This online feature provides an opportunity to those who cannot attend the university in person due to their location of residence, job obligations, and otherwise. We strive to make the online experience as close as possible to an on-campus program. All the requirements for the proposed degree can be satisfied remotely or in-person, depending on the students’ choice.

Natural Sciences and Mathematics Department of Mathematics 800 N. State College, 154 McCarthy Hall, Fullerton, CA 92834/92831 / T (657) 278-3631 / F (657) 278-3972

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Program Prerequisites and Application Procedure Students must have a bachelor’s degree, and have had courses in mathematics and statistics. Specifically, the following courses are prerequisite for the program: two years of calculus sequence including linear algebra (Math 150AB and Math 250AB, or equivalent), probability theory (Math 335, or equivalent), an upper-division statistical methods course (Math 338, or equivalent), and a computer programming course (one of Math 320, CSC 120, or CSC 121 or equivalent). Upper division prerequisite courses must be completed with a grade of B or better. Students who do not satisfy these prerequisites may be considered for conditional admission.

Students can apply online at http://www.calstate.edu/apply and have official transcripts sent to CSUF’s Admissions and Records. GRE scores and letters of recommendation are not required, however, names and contact information for three references must be provided. International students should refer to the following site for further information and requirements: http://www.fullerton.edu/admissions/ProspectiveStudent/International.asp.

Program Requirements The program offer state-of-the-art technology oriented curriculum to meet the evolving needs of business, industries, and government agencies. The program also provides the necessary training to those students whose ultimate goal is to receive a Ph.D. degree in statistics.

The degree requirements are as follows:

A total of 30 units are required for the degree: Required courses

Math 530 Probability and Statistical Inference 6 Units Math 531T Special topics 6 Units Math 533 Statistical Learning 3 Units Math 534 Statistical Computing 3 Units Math 536 Generalized Linear Models 3 Units Math 537 Multivariate Statistics 3 Units Math 538 Bayesian Analysis 3 Units Math 539 Statistical Consulting 6 Units

Elective Courses Students are required to take six units of courses most suited to their educational objectives. The Statistics Graduate Committee must approve these courses. The department offers special topics courses Math 531T to fulfill this requirement. Students can request to write a master’s thesis. If the Statistics Graduate Committee approves this request, then six units of thesis course work will be counted as the required elective units.

Roadmap The following table shows an example of a roadmap for the required courses for students planning to take six units of courses per semester:

Fall of first year Math 530: Probability and Statistical Inference (6 units) Spring of first year Math 534: Statistical Computing (3 units)

Math 536: Generalized Linear Models (3 )

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http://www.calstate.edu/apply

http://www.fullerton.edu/admissions/ProspectiveStudent/International.asp

Summer of first year Math 531T (6 units) or Math 537: Multivariate Statistics (3 units)

Fall second year Math 533: Statistical Learning (3 units) Math 538: Bayesian Analysis (3 units)

Spring second year Math 539: Statistical Consulting (3 units)

Financial Support Qualified students can apply for a position of Teaching Associate. For more information on how to apply for a Teaching associate position, please contact the Mathematics Department at (657) 278-3631.

Depending on availability of funds, a limited number of non-resident fee waivers are also available on competitive basis for non-resident students.

Catalog descriptions of the required courses Math 530 – Probability and Statistical Inference Prerequisite: Math 335. Fundamentals of probability theory, including random variables, joint and conditional distributions, expected values, major probability limit theorems, and some well-known distributions. Maximum likelihood, method of moments, sufficiency, Bayesian estimation, properties of estimators, confidence and credible intervals, and hypothesis testing.

Math 534 – Statistical Computing Prerequisite: Math 530, Math 320 or equivalent, Linear Algebra Numerical methods in linear and nonlinear regression including Gauss-Jordan, QR, and Gauss- Newton algorithms, maximum likelihood computation, including Newton, Fisher-scoring, quasi- Newton, and EM algorithms, Bayesian computations, including numerical integration, Monte- Carlo integration, and Markov chain Monte Carlo, and nonparametric inference including Bootstrap.

Math 535 – Applied Biostatistics Prerequisite: Math 530 Analysis of survival data using parametric, nonparametric, semi-parametric methods, censoring and truncation, survival/hazard functions, parametric models, life-tables, Kaplan-Meier and Nelson-Aalen estimators, log-rank test, Cox proportional hazards models, partial likelihood, time-dependent covariates, additive hazards models, diagnostics, and competing risks.

Math 536 – Generalized Linear Models Prerequisite: Math 530 Inference for two-way contingency tables, generalized linear models, logistic regression, logit and probit models, log-linear models, model fitting and estimation of log-linear parameters, strategies in model selection, log linear models for ordinal variables, Poisson regression, and Poisson log-linear models.

Math 537 – Multivariate Statistics Prerequisite: Math 530, Linear Algebra Multivariate normal distribution, comparison of several multivariate means, multivariate linear regression models, elliptically contoured distributions, estimation of orthogonal and oblique

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factors, inference for structured covariance matrices, simultaneous equation models, classification functions, procrustes analysis, and graphical models.

Math 538 – Bayesian Statistics Prerequisite: Math 530, Math 534 Fundamentals of Bayesian inference including informative and non-informative priors for single and multi parameter models, Bayesian asymptotic, hierarchical models, Metropolis Hastings and Gibbs sampler algorithms, model checking, Bayesian design of experiments, Bayesian linear models and generalized linear models, and neural networks.

Math 539 – Statistical Consulting Prerequisite: Math 530 Ethics, communication aspects of consulting with clients, formulation of statistical problems, recommendations of design protocols, selection of appropriate statistical methods, data analysis, and interpretation of results including writing proper reports. The course will utilize case studies.

Contacts For administrative questions please contact Renee Bennett at [email protected]. For questions about curriculum and prerequisites, please contact the Statistics Graduate Advisor, Professor Mori Jamshidian, at 657-278-2398 or [email protected].

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mailto:[email protected].


department of mathematics - fullerton

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