MAT 5863
Mathematical Physics I. (3-0) 3 Credit Hours
University of Texas at San Antonio · UGRD · Fall 2026
Catalog description
Prerequisite: MAT 2214 or MAT 2213 , and MAT 3623 or equivalent, or consent of the instructor. Topics may include (1) Complex analysis in physics, (2) Differential equations: dynamical systems, non-linearity, and chaos, (3) Nonlinear waves in PDEs: continuous systems, Hamiltonian formulation of plasmas and liquids, KdV equation, nonlinear Schroedinger equation, and Sine/Klein-Gordon equation(s), (4) Asymptotic analysis methods and time-dependent/independent perturbation theory, (5) Functional analysis in mathematical physics, (6) Mathematical formalism of PDEs, (7) Group theory and Lie algebras, and (8) Tensor calculus: theory and applications. This course has Differential Tuition. Course Fee: GS01 $90.
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