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Caltech Course Catalog / 2025-2026 Catalog / Courses 2025-26 / Introductory Methods of Applied Mathematics for the Physical Sciences

ACM 95/100 ab - Introductory Methods of Applied Mathematics for the Physical Sciences

ACM 95/100 ab

Introductory Methods of Applied Mathematics for the Physical Sciences

12 units (4-0-8)   |  second, third terms
Prerequisites: Ma 1 abc, Ma 2 or equivalents.

Complex analysis: analyticity, Laurent series, contour integration, residue calculus. Ordinary differential equations: linear initial value problems, linear boundary value problems, Sturm-Liouville theory, eigenfunction expansions, transform methods, Green's functions. Linear partial differential equations: heat equation, separation of variables, Laplace equation, transform methods, wave equation, method of characteristics, Green's functions.

Instructors: Zuev (second term) and Hoffmann, Cao (third term)
Published Date: Aug. 28, 2025