Schedule update
Update! Switch to electronic submission starting from HW3.
Tentative schedule (confirmed dates will be colored in red)
Homework 1 - due Wed 2/19
Homework 2 - due Wed 3/4
Midterm - Wed 3/25 (online)
Homework 3 - See Canvas for due date
Homework 4 - See Canvas for due date
Homework 5 - See Canvas for due date
Final exam - As announced on Canvas
-----------------------
A tentative list of key sections in textbook to be covered:
(Approximately in the order of planned lectures)
Chapter 1, Sec 1.1, 1.2, 1.3, 1.4, 1.5 (excluding discussion on polar/spherical
coordinate systems)
Chapter 2, Sec 2.1, 2.2, 2.3, 2.4, 2.5 (excluding discussion on polar coordinate)
Chapter 4, Sec 4.2, 4.4
Chapter 5, Sec 5.1, 5.2, 5.3 (Chapter 5 is conceptual only)
===== The sections listed above, plus all material in Lecture 1-14, form =====
===== the scope of midterm exam. =====
The following sections in Chapter 3,8, and 12, and all content in
Lecture 15-27, form the scope for the final exam
Chapter 3, Sec 3.1, 3.2, 3.3, 3.4, 3.5, 3.6
+ Solution of nonhomogeneous PDE by Fourier series expansion
Chapter 8, Sec 8.1, 8.2, 8.3
Chapter 12,Sec 12.1, 12.2, 12.3.1, 12.6.1, 12.6.3, 12.6.5
===== Chapter 7 and 10 are excluded from final exam ======
Chapter 7, Sec 7.1, 7.2, 7.3
Chapter 10,Sec 10.2, 10.3 (excluding Appendix to 10.3), 10.4.2, 10.5
+ Solution of nonhomogeneous PDE by Fourier transform
Homework
Homework #1, due 6:00 PM, Wednesday, February 19
Solution
Detail for Prob 2 and 3
Homework #2, due 6:00 PM, Wednesday, March 4
Solution
Detail for Prob 2b,3, and 4
Solution+note for midterm
Homework #3, see Canvas for due date
Solution
Detail for Prob 2,4, and 5
The mathematical solution of Prob 1(a) is actually quite realistic.
See this youtube video of a lab experiment: Video
Homework #4, see Canvas for due date
Solution
Detail for Prob 1-4
Homework #5, see Canvas for due date
Solution
Detail for Prob 3-6
Slides (formal, typed)
Slides #1 - First-day announcements
Slides #2 - General remarks
Slides #3 - Eigenvalue problem (for self study)
Slides #4 - Separation of variables, heat equation
Slides #5 - Qualitative discussion of heat equation
Slides #6 - Orthogonality relation
Math cheat sheet
Slides #7 - Example for the solution of Laplace's equation
Slides #8 - Sturm-Liouville system
Slides #9 - Examples of Fourier Sine/Cosine series
Slides #10 - Fourier transform and PDE in an infinite domain
Slides #11 - Example for the method of characteristics
Slides #12 - Another example for the method of characteristics
Matlab
Basic Matlab programming
Links to individual matlab example codes
