## Program: B.S., Mathematics

### Mathematics

## Program Description

The B.S. degree in Mathematics is designed for students who want to pursue occupational careers involving applied mathematics or want to prepare for graduate work in applied mathematics.

### Double Major

A student pursuing either a B.A. or a B.S. degree may combine a second major with Mathematics. In this circumstance, upon approval of an advisor, 6 units of upper division electives may be satisfied by courses in the second major. The remaining electives must be taken in the Department of Mathematics. Under certain rare conditions, the physics requirement in the lower division core may be replaced by appropriate coursework in the second major. Prior approval must be obtained from an advisor and the department chair for this latter occurrence.

## Program Requirements

### Requirements

In addition to University residence requirements for a bachelor’s degree, the student must complete a minimum of 18 units of upper division Mathematics in residence at CSUN with the approval of a Mathematics advisor. Students in B.A. degree programs must fulfill the University requirement of at least 40 units of upper division coursework overall.

It is assumed that the student has a facility in mathematics normally gained by recent completion of four years of high school mathematics through trigonometry and “Mathematical Analysis.” Because of the variation in curricula at the high school level, it is necessary to obtain satisfactory scores on the Mathematics Placement Test (MPT) to enter the first mathematics course in the program, MATH 150A. Without satisfactory scores, a student will need to complete additional coursework.

#### 1. Lower Division Core for All Programs (23-24 units)

COMP 106/L Computing in Engineering and Science and Lab (2/1)

or COMP 110/L Introduction to Algorithms and Programming and Lab (3/1)

The student must complete the lower division core and one of the following Mathematics options, and he or she must have at least a 2.0 GPA for all upper division units required in the major.

#### 2. Upper Division Required Courses (24 units)

MATH 320 Foundations of Higher Mathematics (3)

MATH 340 Introductory Probability (3)

MATH 351 Differential Equations (3)

MATH 360 Abstract Algebra I (3)

MATH 382/L Introduction to Scientific Computing and Lab (2/1)

MATH 450A Advanced Calculus I (3)

MATH 462 Advanced Linear Algebra (3)

MATH 493 Seminar in Mathematics (3)

#### 3. Upper Division Electives (15 units)

Students must take five elective courses chosen with an advisor from the following list, including at least one from MATH 450B and MATH 460.

MATH 366 Combinatorics (3)

MATH 440A Mathematical Statistics I (3)

MATH 440B Mathematical Statistics II (3)

MATH 450B Advanced Calculus II (3)

MATH 455 Complex Variables (3)

MATH 460 Abstract Algebra II (3)

MATH 463 Number Theory (3)

MATH 480 Partial Differential Equations (3)

MATH 481A Numerical Analysis (3)

MATH 481B Numerical Analysis (3)

MATH 481C Numerical Methods for Partial Differential Equations (3)

MATH 481D Topics in Numerical Mathematics (3)

MATH 483 Mathematical Modeling (3)

All 500-level Math courses, except those numbered MATH 510-514.

#### 4. General Education (48 units)

Undergraduate students must complete 48 units of General Education as described in this Catalog.

12 units are satisfied by the following courses in the major: PHYS 220A satisfies B1 Physical Science; PHYS 220AL satisfies B3 Science Laboratory Activity; MATH 150A satisfies Basic Skills B4 Mathematics/Quantitative Reasoning; MATH 320 satisfies B5 Scientific Inquiry and Quantitative Reasoning; and COMP 110/L satisfies E Lifelong Learning.

Students are encouraged to take PHIL 230 to satisfy the Basic Skills A3 Critical Thinking requirement.

#### Total Units in the Major/Option: 62-63

#### General Education Units: 36

#### Additional Units: 21-22

#### Total Units Required for the B.S. Degree: 120

## Contact

Department of Mathematics

Chair: Rabia Djellouli

Live Oak Hall (LO) 1300

(818) 677-2721

## Student Learning Outcomes

Students shall be able to:

- Devise proofs of basic results concerning sets and number systems.
- Rigorously establish fundamental analytic properties and results, such as limits, continuity, differentiability and integrability.
- Demonstrate facility with the objects, terminology and concepts of linear algebra.
- Demonstrate facility with the terminology, use of symbols and concepts of probability.
- Write simple computer programs to perform computations arising in the mathematical sciences.