Program Overview

University Program Information

Department of Mathematics

The Department of Mathematics at the University of California, Berkeley, is adopting new course numbering effective Fall 2025. The changes include:

• Math 32 becoming Math 3
• Math 1A becoming Math 51
• Math 1B becoming Math 52

Research Areas

The department has various research areas, including:

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

Courses

The department offers a range of courses, including:

• Math 54: Linear Algebra & Differential Equations
  • Course Format: Three hours of lecture and three hours of discussion per week
  • Prerequisites: 1A-1B, 10A-10B or equivalent
  • Description: Basic linear algebra; matrix arithmetic and determinants. Vector spaces; inner product spaces. Eigenvalues and eigenvectors; linear transformations, symmetric matrices. Linear ordinary differential equations (ODE); systems of linear ODE. Fourier series.
  • Textbook: Lay-Lay-McDonald, Linear Algebra and its Applications (5th and 6th editions) and Nagle-Saff-Snider, Fundamentals of Differential Equations and Boundary Value Problems (9th edition)

Undergraduate Program

The department offers undergraduate programs, including:

• Major in Applied Mathematics
• Major in Mathematics
• Major with a Teaching Concentration
• Declaring the Major
• Frequently Asked Questions
• Honors Program

Graduate Program

The department offers graduate programs, including:

• Ph.D. Program
  • Preliminary Examination
  • Qualifying Examination
  • Dissertation Filing
• M.A. in Mathematics
• Admissions
  • Frequently Asked Questions
• New Graduate Students
• Funding
  • Graduate Fellowships
• Graduate Life

University Information

The University of California, Berkeley, is committed to nondiscrimination and accessibility. For more information, please refer to the university's policies and statements.