### The requirements listed below are only available for students who declared their Mathematics major prior to Fall 2019. However, we highly recommend that you follow the updated major requirements. There are only four emphasis in the updated major compared to the eleven concentrations found here.

## Lower Division Requirements (34-37 units)

- MATH 150: Calculus I (4)
- MATH 151: Calculus II (4)
- MATH 230/PHIL 230: Logic and Mathematical Reasoning (3)
- MATH 240: Linear Algebra (3)
- MATH 250: Calculus III (3)
- PHYS 200: General Physics I (4)

### Select one of the following:

- PHYS 201: General Physics II (4)
**and** - One additional science course (3-4)

### Or

- One two-semester science sequence (7-8)

### Select one of the following:

- COMP 105/IT 105: Introduction To Programming (3)
- COMP 150: Object-Oriented Programming (4)

### Select an additional Computer Science course:

- COMP 150: Object-Oriented Programming (4) Or above

### Or

- COMP 102: Web Development (3)

## Concentration

*A concentration is required for completion of the B.S. in Mathematics. In oder to plan their activities, by at most the end of their sophomore year, students should decide on one of the following concentrations. See below for the requirements for each concentration.*

- Actuarial Sciences/Economics
- Applied Mathematics
- Biomathematics
- Business Management
- Cognitive Science
- Computer Science
- Digital Design
- Education
- Imaging
- Physics
- Pure Mathematics

## Upper Division Requirements (20 units)

*All math major students, no matter their concentration, must take these upper division core courses.*

- MATH 300: Discrete Mathematics (3)
- MATH 331: History of Mathematics (3)
- MATH 350: Differential Equations and Dynamical Systems (3)
- MATH 351: Real Analysis (3)
- MATH 352: Probability and Statistics (3)
- MATH 451: Complex Analysis (3)
- MATH 499: Senior Colloquium (1)
*Taken twice*

### Recommended interdisciplinary upper division GE course (3 units)

*The following upper division GE courses are recommended for the mathematics major:*

- COMP 447: Societal Issues in Computing (3)
- COMP 449/PSY 449: Human-Computer Interaction (3)
- PHYS 434/BIOL 434/HLTH 434: Introduction to Biomedical Imaging (4)

## Electives in Major (9-13 units)

- Note: Courses used for the concentration cannot be counted as electives.
- Note: Students planning on teaching math must choose Math 492 for their field experience requirement. Other courses recommended for teaching careers are marked with a T.

- Math 310: Transition to Higher Mathematics (3)
- MATH 318: Mathematics For Secondary School Teachers (3) T
*not an elective for Education concentration* - MATH 330: Mathematics And Fine Arts (3) T
- MATH 345/COMP 345/PHYS 345: Digital Image Processing (3)
*not an elective for Imaging concentration* - MATH 354: Analysis of Algorithms (3)
*not an elective for Computer Science concentration* - MATH 393: Abstract Algebra I (3) T
*not an elective for Digital Design, Education, and Pure Mathematics concentrations* - MATH 429: Operations Research (3)
*not an elective for Actuarial Sciences/Economics, Applied Mathematics, and Business Management concentrations* - MATH 430: Research Design and Data Analysis (3)
*not an elective for Biomathematics, and Cognitive Science concentrations* - MATH 437: Mathematics For Games, Simulations, And Robotics (3)
- MATH 438/PHIL 438: Philosophy of Mathematics (3)
*not an elective for Pure Mathematics concentration* - MATH 445/PHYS 445/COMP 445: Image Analysis and Pattern Recognition (3)
*not an elective for Imaging concentration* - MATH 448: Scientific Computing (3)
*not an elective for Applied Mathematics, and Computer Science concentrations* - MATH 450: Partial Differential Equations and Mathematical Physics (3)
*not an elective for Applied Mathematics, and Physics concentrations* - MATH 452/COMP 452: Computational Bioinformatics (4)
*not an elective for Biomathematics concentration* - MATH 480: Differential and Riemannian Geometry (3)
- MATH 482: Number Theory and Cryptography (3) T
- MATH 484: Algebraic Geometry and Coding Theory (3)
- MATH 490: Topics in Modern Mathematics (3)
- MATH 492: Internship Units: 1-3 T (Required)
- MATH 494: Independent Research (1-3)
- MATH 497: Directed Studies (3)
- MATH 499: Senior Colloquium (1)

## Requirements for each Concentration (6-10 units)

### Actuarial Sciences/Economics (9 units)

- MATH 429: Operations Research (3)
- ECON 110: Principles of Microeconomics (3)

and one of the two courses below:

- ECON 310: Intermediate Microeconomics (3)
- ECON 329: Managerial Economics (3)

### Applied Mathematics (9 units)

- MATH 429: Operations Research (3)
- MATH 448: Scientific Computing (3)
- MATH 450: Partial Differential Equations and Mathematical Physics (3)

### Biomathematics (10 units)

Students selecting this concentration should take BIOL 201

- MATH 202/PSY 202: Biostatistics (3)
- MATH 430: Research Design and Data Analysis (3)
- MATH 452/COMP 452: Computational Bioinformatics (4)

### Business Management (9 units)

- MATH 329: Applied Statistics for Business and Economics (3)
- MATH 429: Operations Research (3)
- MGT 307: Management of Organizations (3)

### Cognitive Science (9 units)

- MATH 430: Research Design and Data Analysis (3)
- PSY 318: Learning, Cognition and Perception (4)
- Upper Division Psychology Course (3)

### Computer Science (9 units)

Students selecting this concentration should take COMP 150 and COMP 151 for the computer science requirements.

- COMP 350: Introduction To Software Engineering (3)
- MATH 354: Analysis of Algorithms (3)
- MATH 448: Scientific Computing (3)

### Digital Design (9 units)

- ART 108: Visual Technologies (3)
- MATH 393: Abstract Algebra I (3)

and one of the two courses below:

- ART 312: Digital Media Art: Time-based Imaging (3)
- ART 314: Digital Media Art: Digital Photography (3)

### Education (9 units)

- EDUC 512: Equity, Diversity and Foundations of Schooling (3)
- MATH 318: Mathematics For Secondary School Teachers (3)
- MATH 393: Abstract Algebra I (3)

### Imaging (6 units)

Students selecting this concentration should take PHYS 200 and PHYS 201 (8) as the science sequence.

- MATH 345/COMP 345/PHYS 345: Digital Image Processing (3)
- MATH 445/PHYS 445/COMP 445: Image Analysis and Pattern Recognition (3)

### Physics (6 units)

Students selecting this concentration should take PHYS 200 and PHYS 201 (8) as the science sequence.

- MATH 450 – Partial Differential Equations and Mathematical Physics Units: 3

and choose one of the four course:

- PHYS 301: Classical Mechanics (3)
- PHYS 304: Electromagnetism (4)
- PHYS 305: Thermal and Statistical Physics (3)
- PHYS 401: Quantum Mechanics (3)

### Pure Mathematics (9 units)

- MATH 393: Abstract Algebra I (3)
- MATH 438/PHIL 438: Philosophy of Mathematics (3)
- Upper Division Math Research or Topics Course (3)