# Math Courses at UC Berkeley

There are so many opportunities for students in college. Many alumni have succeeded at UC Berkeley such as Chris Pine and Brenda Song. These alumni and many others found their dream careers with the help of courses provided. Majors, such as mathematics majors, have many options for classes to take in order to get their degree. Here are 10 mathematics courses provided at UC Berkeley.

**1. MATH 116: Cryptography **

This course is 4 credits. Kenneth A. Ribet introduces students to cryptography. The course consists on the construction and analysis of simple cryptosystems and public key cryptography. Topics include RSA, signature schemes, key distribution, hash functions, elliptic curves, and applications.

**2. MATH 118: Fourier Analysis, Wavelets, and Signal Processing **

Evans Strain is the instructor for the course. He introduces signal processing including Fourier analysis and wavelets. Topics include Theory, algorithms, and applications to one-dimensional signals and multidimensional images. The course is 4 credits for students towards their degree.

**3. MATH 125A: Mathematical Logic**

This course teaches sentential and quantificational logic. You'll learn about formal grammar, semantical interpretation, formal deduction, and their interrelation. Emphasis will be placed on formalized mathematical theories. The course is 4 units and is taught by Thomas Scanlon.

**4. MATH 130: Groups and Geometries **

4 units are provided to students who take this course. Kathryn Mann introduces students to isometries of Euclidean space, focusing on topics about the Platonic solids and their symmetries. There will be emphasis on crystallographic groups, projective geometry, and hyperbolic geometry.

**5. MATH 140: Metric Differential Geometry**

Gang Liu teaches this 4 credit course. The course focuses on frenet formulas, isoperimetric inequality, and local theory of surfaces in Euclidean space. Topics include Gaussian and mean curvature, isometries, geodesics, parallelism, the Gauss-Bonnet-Von Dyck Theorem.

**6. MATH 142: Elementary Algebraic Topology **

Semeon Artamonov is the professor for this 4-unit course. This course studies the topology of one- and two-dimensional spaces. Topics include manifolds and triangulation, classification of surfaces, Euler characteristic, and fundamental groups. There is special emphasis on the discretion of the instructor.

**7. MATH 170 Mathematical Methods for Optimization **

This is a 4 credit course. The course focuses on linear programming. Ming Gu. Selects topics of matrix games, integer programming, semi-definite programming, nonlinear programming, convex analysis ,and geometry. There will be evidence on polyhedral geometry, the calculus of variations, and control theory.

**8. MATH 191: Experimental Courses in Mathematics **

Professor Givental introduces students to the experimental side of mathematics. The topics to be covered and the method of instruction to be used will be announced at the beginning of each semester on the bulletin. This is a 4 unit course.

**9. MATH 197: Field Study 1 **

This 4 unit course is for math majors. It gives students supervised experience relevant to specific aspects of their mathematical emphasis of study in off-campus organizations. Students will have regular individual meetings with faculty sponsor and written reports required.

**10. MATH 114: Second Course in Abstract Algebra**

Professor Borcherds teaches this 4 unit course. Topics include the Sylow Theorems and their applications to group theory, classical groups, abelian groups, and modules over a principal ideal domain. Focus will be applied to algebraic field extensions, splitting fields and Galois theory, and construction and classification of finite fields.

These 10 mathematics courses are only a selection of many different courses’ students can take. Successful alumni are able to set paths for their careers from their rewarding college education. These alumni and many others found their majors based on their interests. Their interests help shape their future to become a successful part of society.

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