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TAM 541

TAM 541 - Mathematical Methods I

Fall 2022

TitleRubricSectionCRNTypeHoursTimesDaysLocationInstructor
Mathematical Methods ITAM541G30968LCD41100 - 1250 M W  103 Transportation Building Sascha Hilgenfeldt
Anant Joshi
Jairo Martin Rojas Huamani

See full schedule from Course Explorer

Official Description

Vector and tensor algebra and complex-variable methods; ordinary differential equations, qualitative questions of existence and uniqueness; analytic solution methods, numerical methods, power-series solution and special functions; eigenvalue problems, Green's functions, Laplace transforms, stability of solutions; engineering applications drawn from mechanics. Course Information: Prerequisite: MATH 285 OR MATH 286 OR MATH 441; TAM 251.

Detailed Course Description

Vector and tensor algebra, introduction to complex-variable methods; ordinary differential equations, qualitative questions of existence and uniqueness; analytic solution methods, numerical methods, power-series solution and special functions; eigenvalue problems, Green|#39;s functions, Laplace transforms, stability of solutions; engineering applications drawn from mechanics. Prerequisite: MATH 241 (formerly MATH 243) or MATH 380; one of MATH 385, MATH 386, MATH 441. 4 graduate hours.

Textbook:

Michael Greenberg, Advanced Engineering Mathematics, Prentice-Hall

Topics:

Introduction
Linear algebra and linear vector spaces (6 hr)
Introduction to complex analysis, examples from mechanics (10 hr)

Ordinary differential equations
ODEs in mechanics (2 hr)
Existence, uniqueness and stability of solutions (4 hr)
Solution methods for various classes of ODEs (6 hr)
Series solutions of scalar ODEs, special functions (8 hr)
Sturm|ndash;Liouville problem, eigenvalues; mechanics applications (6 hr)
Green|rsquo;s function, Laplace transforms (6 hr)
Solution methods for systems of ODEs (4 hr)
Qualitative theory of solutions of ODEs; mechanics applications (6 hr)

Midterm (2 hr)
TOTAL HOURS: 60

Last updated

9/20/2018

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