Math 551: Applied Partial Differential Equations and Complex Variables
(Fall 2023) [5746]
Mathematical methods for solving problems in linear partial differential
equations: linear operators and adjoint problems, eigenfunction expansions,
Fourier series, Sturm-Liouville problems, orthogonal functions
and generalized Fourier series. Solutions via Green's functions.
Complex variables for contour integrals and solutions via integral
representations. Integral transforms: Fourier and Laplace transforms.
Textbook:
Applied Partial Differential Equations (5th ed), by Richard Haberman,
Prentice Hall (2013)
Prerequisites
Undergraduate-level background in linear algebra [like Duke's Math 218 or 221],
ordinary differential equations [Math 353 or 356], and multi-variable
calculus [Math 212, 219 or 222], or equivalents.
Schedule
Mon/Wed/Fri 10:20-11:10am EDT, Gross Hall Room 324
Instructor
Thomas Witelski, Professor, Dept of Math
Office hours
Weekly Days/Times to be announced,
or by email request
for appointments at other times.
Problem sets
Course materials
- Course outline/syllabus
- Lecture notes and Review sheets
- See resources folder in Sakai
- First lecture: Monday August 28, 2023
- Holidays (no lectures): Sept 4, Oct 16, Nov 22, Nov 24
- Last day of lectures: Friday December 8, 2023.
-
FINAL EXAM: Monday, December 18, 2023, 2:00-5:00pm.
- Duke Graduate School: forms --
Form for Auditing Courses
- Problems accessing the sheets?
All materials are posted at the Duke
Sakai website (class members only) or
access locally from any *.duke.edu computers or
try
Duke OIT VPN (Start VPN @ portal.duke.edu).