Introduction
MATH 422/522 - Advanced Applied Mathematics
The course covers advanced topics in vector calculus, solution methods for ordinary differential equations with an emphasis on power series and Frobenius series, special functions, the theory of complex variables, Sturm-Liouville theory and orthogonal polynomials, Fourier series and integral transform, method of separation of variables applied to the solution of partial differential equations of elliptic, parabolic and hyperbolic type.
Course Information
**FULL COURSE INFORMATION PDF LINK**
Spring 2022 - MORE DETAILS TO COME
Time and Place:TBD
Instructor: Jerry Moloney, Meinel 536
Instructor Office Hours:Mondays 3:30 p.m. – 4:30 p.m. and Wednesdays 2:30 p.m. – 3:30 p.m.
T.A.Sam McLaren
T.A. Office Hours:Mondays 2.30 p.m. – 3.30 p.m. and Fridays 12:00 p.m. – 1:00 p.m.
Textbook:Donald A. McQuarrie, Mathematical Methods for Scientists and Engineers, (University Science Books, 2003)
Prerequisites: (MATH 215 or MATH 410) and MATH 223 and (MATH 254 or MATH 355 or MATH 250B)
FINAL EXAM: TBD
Course Notes
Differentiation Formulas
Heaviside Expansion Formula
Table of Laplace Transforms
Laplace Equation and Poisson Integral Formula
Partial Fractions
Surface Integral
Orthogonal Polynomials
Cauchy-Riemann Derivation
Cauchy-Goursat Multiply Connected Regions
Taylor and Laurent Series
Fourier Transforms
Homework Sets
Homework Solution Sets
Test Solution Sets
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