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Course Descriptions

16:642:527 - Methods of Applied Mathematics I

Avy Soffer

Text

 M. Greenberg, Advanced Engineering Mathematics (second edition); Prentice, 1998 (ISBN# 0-13-321431-1)

 

Prerequisites

Students should know multivariable calculus, elementary differential equations, and some linear algebra.

Description

This is a first-semester graduate course, intended primarily for students in mechanical and aerospace engineering, biomedical engineering, and other engineering programs. Topics include power series and the method of Frobenius for solving differential equations; Laplace transforms; nonlinear differential equations and phase plane methods; vector spaces of functions and orthonormal bases; Fourier series and Sturm-Liouville theory; Fourier transforms; and separation of variables and other elementary solution methods for linear differential equations of physics, including the heat, wave, and Laplace equations.

Sections Taught This Semester:

For more information on instructors and sections for this course, please see our Teaching Schedule Page

 

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Department of Mathematics

Department of Mathematics
Rutgers University
Hill Center - Busch Campus
110 Frelinghuysen Road
Piscataway, NJ 08854-8019, USA

Phone: +1.848.445.2390
Fax: +1.732.445.5530