MATH 454 - Boundary Value Problems for Partial Differential Equations
Section: 101
Term: SP 2009
Subject: Mathematics (MATH)
Department: LSA Mathematics
Page Index

#### Details

Credits:
3
Requirements & Distribution:
BS
Credit Exclusions:
Students with credit for MATH 354 can elect MATH 454 for one credit. No credit granted to those who have completed or are enrolled in MATH 450.
Waitlist Capacity:
5
MATH 216 or 286 or 316.
Other Course Info:
F, W, Sp.
BS:
This course counts toward the 60 credits of math/science required for a Bachelor of Science degree.
Repeatability:
May not be repeated for credit.
Primary Instructor:

#### Description

This course is devoted to the use of Fourier series and other orthogonal expansions in the solution of boundary-value problems for second-order linear partial differential equations. Emphasis is on concepts and calculation. The official prerequisite is ample preparation. Classical representation and convergence theorems for Fourier series; method of separation of variables for the solution of the one-dimensional heat and wave equation; the heat and wave equations in higher dimensions; spherical and cylindrical Bessel functions; Legendre polynomials; methods for evaluating asymptotic integrals (Laplace's method, steepest descent); Fourier and Laplace transforms; and applications to linear input-output systems, analysis of data smoothing and filtering, signal processing, time-series analysis, and spectral analysis. Both MATH 455 and 554 cover many of the same topics but are very seldom offered. MATH 454 is prerequisite to MATH 571 and 572, although it is not a formal prerequisite, it is good background for MATH 556.

#### Schedule

MATH 454 - Boundary Value Problems for Partial Differential Equations
Schedule Listing
101 (LEC)
P
50999
Open
6

-
 TuWF 8:00AM - 10:00AM 1068 EH

#### Textbooks/Other Materials

NOTE: Data maintained by department in Wolverine Access. If no textbooks are listed below, check with the department.

ISBN: 9780130652430
Applied partial differential equations : with Fourier series and boundary value problems, Author: Richard Haberman., Publisher: Pearson Prentice Hall 4th ed. 2004
Required

#### Syllabi

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