Program Overview

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Program Overview

The Department of Mathematics at the University of California, Berkeley, offers undergraduate and graduate programs in mathematics and applied mathematics. The department is committed to providing a rigorous and comprehensive education in mathematics, with a focus on theoretical and applied aspects of the field.

Undergraduate Program

The undergraduate program in mathematics offers a major in mathematics, a major in applied mathematics, and a minor in mathematics. The major in mathematics requires the completion of five lower-division and eight upper-division courses, including courses in calculus, linear algebra, and abstract algebra.

Lower-Division Required Courses

• Mathematics 1A: Calculus
• Mathematics 1B: Calculus
• Mathematics 53: Multivariable Calculus
• Mathematics 54: Linear Algebra & Differential Equations or Math 56: Linear Algebra
• Mathematics 55: Discrete Mathematics

Upper-Division Required Courses

• Mathematics 104: Introduction to Analysis
• Mathematics 110: Linear Algebra
• Mathematics 113: Introduction to Abstract Algebra
• Mathematics 185: Introduction to Complex Analysis

Electives

Students must choose two semi-electives from the following areas:

• Numerical Analysis: Math 124: Programming for Mathematical Applications, Math 128A: Numerical Analysis, or Math 156: Numerical Analysis for Data Science and Statistics
• Geometry and Topology: Math 130: Groups and Geometries, Math 140: Metric Differential Geometry, Math 141: Elementary Differential Topology, Math 142: Elementary Algebraic Topology, or Math 143: Elementary Algebraic Geometry
• Logic and Foundations: Math 125A: Intro to Logic, Math 135: Intro to Theory of Sets, Math 136: Incompleteness and Undecidability

Additional Requirements

• At least two additional upper-division (or graduate) mathematics courses must be taken, making a total of at least eight upper-division courses in the major.
• Courses used to fulfill major requirements must be taken for a letter grade.
• UC Berkeley courses used towards major requirements must be at least 3 semester units each.
• A maximum of 4 non-Berkeley courses may be applied towards the 8 upper-division major requirements.

Graduate Program

The graduate program in mathematics offers a Ph.D. program and a M.A. program in mathematics. The Ph.D. program requires the completion of a preliminary examination, a qualifying examination, and a dissertation.

Ph.D. Program

• Preliminary Examination
• Qualifying Examination
• Dissertation Filing

M.A. Program

The M.A. program in mathematics requires the completion of a master's thesis or a comprehensive examination.

Research Areas

The Department of Mathematics at UC Berkeley has research areas in:

• Algebra
• Mathematical Analysis
• Applied Mathematics
• Geometry/Topology
• Mathematical Logic
• Probability

Additional Information

For more information on the undergraduate and graduate programs in mathematics, including admission requirements, tuition fees, and research opportunities, please refer to the department's website.