2008 Fall MATH 211-01
Bulletin Course Description Initial and boundary value problems for the heat and wave equations in one and several dimensions. Fourier series and integrals, eigenvalue problems. Laplace transforms, solutions via contour integration, and elementary complex variables. Solutions via Green's functions. Intended for applied math students and students in science and engineering. Instructor: Staff
(Instructor named in bulletin description above may not be current. For current instructor, see listing below.)
Title APP PART DIFF EQU & COMPX VAR Department MATH Course Number 2008 Fall 211 Section Number 01 Primary Instructor Witelski,Thomas P Prerequisites Prerequisite: Mathematics 107 and 108 or the equivalent. Course Homepage www.math.duke.edu/~witelski/211
Synopsis of course content
Mathematical methods for solving problems in linear partial differential equations: eigenfunction expansions, Fourier series, orthogonal functions and generalized Fourier series. Integral transforms: Fourier and Laplace. Complex variables for contour integrals and solutions via integral representations and Green's functions.
Textbooks
Applied Partial Differential Equations (4th ed), by Richard Haberman, Prentice Hall (2003)
Assignments
There will be weekly homeworks.
Exams
There will be two or three in-class test and a final exam.
Term Papers
None
Grade to be based on
Tests, final exam, and homeworks.
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