Schedule update
Homework is due before class on the due date.
9/5 HW1 released
Mon 9/7 ---- Labor Day, no class ----
9/19 HW2 released
Wed 9/23 HW1 due
10/4 HW3 released
Wed 10/7 HW2 due
Mon 10/12 ---- Fall break, no class ----
Mon 10/19 HW3 due
Wed 10/21 Midterm
10/25 HW4 released
Wed 11/11 HW4 due
11/19 HW5 released
Wed 12/2 HW5 due; last lecture before final
Wed 12/9 9:50-11:40 AM, Final exam
==========================
We have finished:
Chapter 1, Sec 1.1, 1.2, 1.3, 1.4, 1.5 (excluding the discussion on polar/spherical
coordinate)
Chapter 2, Sec 2.1, 2.2, 2.3, 2.4, 2.5 (excluding the discussion related to polar coordinate)
Chapter 4, Sec 4.2, 4.4
Chapter 5, Sec 5.1, 5.2, 5.3 (excluding the discussion on Rayleigh quotient)
Chapter 7, Sec 7.1, 7.2, 7.3 (including Appendix to Sec 7.3)
(Sec 7.3 discusses the 2-D wave equation while we considered
2-D heat equation in class. The techniques are nevertheless
very similar.)
Chapter 8, Sec 8.1, 8.2, 8.3
------------ Below this line is the scope for 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 9, Sec 9.2 was discussed but will not be in the final exam.)
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
+ general discussion on nonlinear PDE
Homework
Homework #1, due Wednesday, Sept 23
Solutions
Homework #2, due Wednesday, Oct 7
Solutions
Homework #3, due Monday, Oct 19
Solutions
Homework #4, due Tuesday, Nov 10, at 5 PM (submission will be collected at ERC 359 from 3-5 PM)
Solutions
Homework #5, due Wednesday, Dec 2
Solutions (typos in the solutions for Prob 1 and 4 corrected)
Slides (formal, typed)
Slides #1 - First-day introduction
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
------- The slides posted above this line have been discussed in class -------
Slides (informal, hand-written)
Uncorrected slides (hand-written transparencies) for most lectures
will be posted at a separate private website - URL will be emailed to class.
Matlab
Basic Matlab programming
Links to individual matlab example codes
Very basic Matlab setup guide for ASU usersUpdate: In p.3, the version "R2009b" is out of date.
Use R2012b or later versions instead.