Schedule update
Homework is due at start of class on the due date.
HW1, due 6:00 PM, Monday, September 24 - revised and confirmed
HW2, due 6:00 PM, Wednesday, October 10 - revised and confirmed
Midterm, 6:00 PM, Wednesday, October 17 - revised and confirmed
HW3, due 6:00 PM, Wednesday, November 14 - revised and confirmed
HW4, due 6:00 PM, Wednesday, November 21 - revised and confirmed
HW5, due 6:00 PM, Friday, November 30 - revised and confirmed
Final Exam, 4:50-6:40 PM, Wednesday, December 5
A minimum list of key sections in textbook to be covered:
(Approximately in the order of planned in-class discussion)
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
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The sections listed above, plus all content from Lecture 1-14, will be
the scope of midterm exam
Chapter 7, Sec 7.1, 7.2, 7.3 (including Appendix to Sec 7.3)
Chapter 5, Sec 5.1, 5.2, 5.3
=======================
The scope of final exam will be the following red-colored chapters
plus all material discussed in class after midterm:
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 10, Sec 10.2, 10.3 (excluding Appendix to 10.3), 10.4.2, 10.5
=======================
[Due to lack of time, we will not discuss Chapter 12; It is excluded
from the final exam]
Chapter 12, Sec 12.1, 12.2, 12.3.1, 12.6.1, 12.6.3, 12.6.5
Additional material will be provided by instrutor.
Homework
Homework #1 due 6:00 PM, Monday, September 24 (note revised due date)
Solution
Homework #2 due 6:00 PM, Wednesday, October 10
Solution
Homework #3 due 6:00 PM, Wednesday, November 14
Solution
Homework #4 due 6:00 PM, Wednesday, November 21
Solution
Homework #5 due 6:00 PM, Friday, November 30
Solution
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
Octave (free and open alternative to Matlab)
Basic Matlab programming
Links to individual matlab example codes