# Math major requirements

- CORE MATH COURSES. Each student is required to take the following CCS mathematics courses. However, if a student shows proficiency in the content of any of them, he/she can be placed in a higher-level set of courses.

- Introduction to Higher Mathematics.
- Discrete Mathematics I

- Discrete Mathematics II
& III (only with advisor approval)

- Advanced Linear Algebra I
& II.

- Problem-Solving Seminar
I & II.

- Introduction to Real Analysis.
- Probability and Combinatorics.
- Introduction to Multidimensional Analysis: Differentiation & Integration.
- Theory of Complex Variables
I & II.

- L&S UPPER DIVISION COURSES. Each student is also required to take the following L&S courses:

- Real Analysis (Math 118A,B,C)
- Abstract Algebra (Math 111A,B,C)

In addition, every student should take 9 (7 if they took Discrete Mathematics II and III) more math classes of his/her choice. Those classes could be undergraduate or graduate classes. Some examples of undergraduate classes available are:

- Topology (Math 145A or Math 221A)
- Differential Geometry (Math 147 A,B)
- Number Theory (Math 115 A,B,C)
- Non-Euclidean Geometry (Math 113)
- Numerical Analysis (Math 104 A,B,C)
- Ordinary Differential Equations (Math 119A or Math 243)
- Chaotic Dynamics and Bifurcation Theory (Math 119B)
- Partial Differential Equations (Math 124A)
- Fourier Series and numerical methods (Math 124B)
- Applied Stochastic Processes (PSTAT 160 A)
- Combinatorial Analysis (Math 116)
- Graph and Network Theory (Math 137 A,B)
- Independent Studies (up to
two quarters, at least 3 units per class)

In the Statistics Department,

- Probability and Statistics (Pstat 120BC)
- Statistical theory (Pstat 207ABC)
- Measure theory for probability (Pstat 210)
- Introduction to Probability Theory and Stochastic Processes (Pstat 160AB, Pstat 213ABC)

**Mathematics
classes in the Mathematics Department must be taken for a
letter grade. For a letter-graded class to count as a
major requirement, a grade of C or higher is required. For
a CCS math class to count as a major requirement, at least
3 units (for a 4-unit class) or 4 units (for a 5-unit
class) are required. **

Lower division mathematics classes do not count as major
requirements unless permission is granted by the CCS Math
advisor.

Most students are able to fulfill these requirements in their first three years at UCSB. After that, they are encouraged to take graduate courses and pursue more independent study. A master’s program is also available.