MATH581A
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MATH581A - Methods of Applied Mathematics I
Course ID
041861
Course Description
Complex Analysis: variables; functions; analyticity; integrals; residue calculus; saddle-point method. Fourier Analysis: Fourier transform; Fourier series; delta-function; Riemann-Lebesgue lemma; Gibbs phenomenon. Ordinary Differential Equations: parameter variations; integrals of motion; phase portraits; perturbative analysis; Green's functions; Sturm-Liouville theory. Partial Differential Equations: method of characteristics; classification of second order linear (elliptic, hyperbolic, parabolic); separation of variables for boundary value problems; nonlinear examples. Other topics as chosen by the instructor.
Min Units
3
Max Units
3
Repeatable for Credit
No
Grading Basis
GRD - Regular Grades A, B, C, D, E
Career
Graduate
Course Attributes
CE - CL (Cross Listed), GIDP - APPL (Applied Mathematics)
Course Requisites
Admission to Applied Math GIDP or Math 422 or Math 424 or Math 454 or Math 456 or equivalent
Cross Listed Courses
May be convened with
Component
Lecture
Optional Component
No