Syllabus (updated 1/13/2014)
Schedule update
Homework is due before class on the due date.
--- 1/20 MLK Jr Day, no class ---
Wed 1/22 HW1 posted
Wed 2/5 HW2 posted
Wed 2/12 HW1 due ⇐ Revised
Wed 2/19 HW3 posted
Wed 2/26 HW2 due ⇐ Revised
Wed 3/5 HW3 due
3/9 HW4A and HW4B posted
--- 3/9 - 3/16 spring break, no class ---
Wed 3/19 Midterm
Wed 3/26 HW4A due
3/31 HW5 posted
Wed 4/9 HW6A posted
Mon 4/14 HW4B due ⇐ Further revised
Wed 4/16 HW5 due ⇐ Revised
Wed 4/23 HW6A due
Wed 4/30 HW6B due ⇐ Revised
Wed 4/30 Last lecture before final
Mon 5/5 4:50-6:40 Final exam
==========================
We have finished:
Chapter 1, Sec. 1.1, 1.2, 1.3, 1.4, 1.5 (except the last 2 pages on
polar/spherical geometry)
Chapter 2, Sec. 2.1, 2.2, 2.3, Appendix to 2.3, 2.4, 2.5.1, 2.5.4
(Sec. 2.4 was not discussed in detail but is relevant to
HW1-Prob2. Please do read the section. Beware that the
case with a zero eigenvalue is not always trivial.)
Chapter 4, Sec. 4.2, 4.4
Chapter 5, Sec 5.1, 5.2, 5.3 (except the material related to Rayleight quotient)
5.4, 5.5 (Sec 5.5 contains the detail of the proof of the
Sturm-Liouville theorem. This is useful background information
but we do not expect you to carry out math proofs of such
complexity in the exams. Although we will not discuss Sec 5.5
in detail. you are encouraged to read it at least once.)
Chapter 7, Sec 7.1, 7.2, 7.3, Appendix to Sec 7.3
(For Sec 7.3, we actually discussed 2-D Heat equation instead
of 2-D Wave equation in class. Nevertheless, the same idea
used for solving the higher dimensional Heat equations can be
readily applied to higher dimensional Wave equations.)
Chapter 8, Sec 8.2 (up to Eq. 8.2.17)
------- Below are the sections that will be included in the final exam -------
Chapter 8, Sec 8.2 (from Eq. 8.2.18 to the end of section), Sec 8.3
Chapter 3, Sec 3.1, 3.2, 3.3, 3.4, 3.5, 3.6
Chapter 10, Sec 10.2, 10.3 (excluding Appendix to 10.3), 10.4.2, 10.5
Chapter 9, Sec 9.2
Chapter 12, Sec 12.1, 12.2, 12.3.1, 12.6.1, 12.6.3, 12.6.5
Formal slide sets, #9-#13
Informal slide sets, approximately #15-#27
(Note that the informal slides were not checked for errors.)
Also, materials covered by HW4A, HW5, HW6A, and HW6B
Homework
Homework #1
Solutions
Homework #2
Solutions
Homework #3
Solutions
Homework #4A
Solutions
Homework #4B - revised
Solutions
Homework #5
Solutions
Homework #6A
Solutions
Homework #6B
Solutions
Slides (formal, typed)
Slides #1 - First-day introduction, 1/13
Slides #2 - General remarks, 1/13
Slides #3 - Eigenvalue problem (for self study)
Slides #4 - Separation of variables, heat equation, 1/22, 1/27
Slides #5 - Qualitative discussion of heat equation, 1/15, 1/27
Slides #6 - Orthogonality relation, 1/22, 1/27
Math cheat sheet
Slides #7 - Example for the solution of Laplace's equation, 2/5, 2/10
Slides #8 - Sturm-Liouville system 2/26, 3/3
Slides #9 - Examples for nonhomogeneous PDE, 3/5, 3/17
Slides #10 - Examples of Fourier Sine/Cosine series, 3/26
Slides #11 - Fourier transform and PDE in an infinite domain, 4/2, 4/7
Slides #12 - Example for the method of characteristics 4/16
Slides #13 - Another example for the method of characteristics 4/16, 4/21
Slides (informal, hand-written)
Uncorrected slides (hand-written transparencies) for most lectures
will be posted at a separate private website - URL has been 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 R2011a or R2012a/b instead.