MATH 21B: Linear Algebra and Differential Equations

Cliff Taubes (2025 Fall)
Roderic Guigo Corominas (2026 Spring)
MATH 21B    |      Fall 2025/Spring 2026     |      Course Listing    |    Canvas Site

Matrices provide the algebraic structure for solving myriad problems across the sciences. We study matrices and related topics such as linear transformations and linear spaces, determinants, eigenvalues, and eigenvectors. Applications include dynamical systems, ordinary and partial differential equations, and an introduction to Fourier series.

Recommended Prep: Mathematics 1b or an equivalent background in mathematics. Mathematics 21a is commonly taken before Mathematics 21b, but is not a prerequisite, although familiarity with partial derivatives is useful.

Course Requirements: Anti-requisite: Not to be taken in addition to AM 22a.