Schedule update
Hard copy report of homework is due at 6:00 PM on the due date.
Tentative schedule (confirmed dates will be colored in red)
Homework 1 - due Monday, February 11
Homework 2 - due Wednesday, February 27
Midterm - Wednesday, March 13
Homework 3 - due Wednesday, March 20
Homework 4 - due Wednesday, April 3
Homework 5 - due Wednesday, April 17
Homework 6 - due Wednesday, April 24
Final exam - Wednesday, May 1, 4:50-6:40 PM
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A minimum 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
The sections listed above, plus all material discussed in class from
Lecture 1-14, form the scope of the midterm exam. All problems in HW1 and HW2,
and the first two problems in HW3, are also within the scope of the exam.
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The sections listed below and the material in Lecture 15-26 are the focus
of 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 10, Sec 10.2, 10.3 (excluding Appendix to 10.3), 10.4.2, 10.5
+ Solution of nonhomogeneous PDE by Fourier transform
Chapter 12, Sec 12.1, 12.2, 12.3.1, 12.6.1, 12.6.3, 12.6.5
Homework
Homework #1, due 6:00 PM, Monday, February 11
Solution
Homework #2, due 6:00 PM, Wednesday, February 27
Solution
Homework #3, due 6:00 PM, Wednesday, March 20
Solution
Homework #4, due 6:00 PM, Wednesday, April 3
Solution
Homework #5, due 6:00 PM, Wednesday, April 17
Solution
Homework #6, due 6:00 PM, Wednesday, April 24
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