Here is a list of topics covered and all written assignments for the course as well as a dynamic listing of what was actually planned and covered in the lecture. Remember: Your work on assignments should be neatly presented---if you can't write legibly, then figure out a way to type it---and submitted on Canvas.
Date Chapter.Section/Topics or Page/Problems
M Jan 12 Lecture 1 Introduction/Review of ODE
Assignment 1 DUE Wednesday January 28, 2026
W 14 Lecture 2 series solutions and the initial value problem
Assignment 2 DUE Wednesday February 4, 2026
M 19 Holiday (MLK)
Assignment 3 DUE Wednesday February 11, 2026
W 21 Lecture 3 series solutions and the two point boundary value problem
M 26 Lecture 4 Sturm-Liouville problems/Sturm-Liouville theory (snow day)
notes
W 28 Lecture 5 Fourier series
Assignment 4 DUE Wednesday February 25, 2026
Assignment 5 DUE Wednesday March 4, 2026
M Feb 2 Lecture 6 Fourier series and Sturm-Liouville problems
W 4 Lecture 7 Integration and finding Fourier coefficients
M 9 Lecture 8 some solutions of the heat equation
physical principles of heat conduction
W 11 Lecture 9 derivation of the heat equation
M 16 Lecture 10 separated variables solutions
W 18 Lecture 11 solving the heat equation using separation of variables
M 23 Lecture 12 non-homogeneous boundary values, forcing and higher dimensions
W 25 Lecture 13 Laplace's equation and non-homogeneous boundary conditions
Assignment 6 DUE Wednesday March 18, 2026
M Mar 2 Lecture 14 The maximum principles (not)
polar coordinates: Laplace's equation on a disk
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W Apr 1 Lecture 21
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M 27 Last class meeting
W May 6 (scheduled final exam time 11:20 AM - 2:10 PM)
Final Assignment DUE Wednesday May 6, 2026