MATH 454 - Boundary Value Problems for Partial Differential Equations
Fall 2013, Section 001
 Instruction Mode: Section 001 is (see other Sections below) Subject: Mathematics (MATH) Department: LSA Mathematics
See additional student enrollment and course instructor information to guide you in your decision making.
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.
Enforced Prerequisites:
Permission required after credit earned in MATH 354 or 450.
MATH 216, 256, 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
001 (LEC)
In Person
12150
Open
9

-
 TuTh 12:00PM - 1:30PM 107 GFL
9/3/13 - 12/11/13
002 (LEC)
In Person
17289
Open
15

-
 TuTh 10:00AM - 11:30AM 3333 MH
9/3/13 - 12/11/13

#### Textbooks/Other Materials

The partner U-M / Barnes & Noble Education textbook website is the official way for U-M students to view their upcoming textbook or course material needs, whether they choose to buy from Barnes & Noble Education or not. Students also can view a customized list of their specific textbook needs by clicking a "View/Buy Textbooks" link in their course schedule in Wolverine Access.

Click the button below to view and buy textbooks for MATH 454.001

#### Syllabi

Syllabi are available to current LSA students. IMPORTANT: These syllabi are provided to give students a general idea about the courses, as offered by LSA departments and programs in prior academic terms. The syllabi do not necessarily reflect the assignments, sequence of course materials, and/or course expectations that the faculty and departments/programs have for these same courses in the current and/or future terms.

Click the button below to view historical syllabi for MATH 454 (UM login required)

#### CourseProfile (Atlas)

The Atlas system, developed by the Center for Academic Innovation, provides additional information about: course enrollments; academic terms and instructors; student academic profiles (school/college, majors), and previous, concurrent, and subsequent course enrollments.