Schedule update
Homework is due before class on the due date.
--- 9/1 Labor Day, no class ---
Sun 9/7 HW1 posted
Wed 9/24 HW1 due
Thu 9/25 HW2 posted
Wed 10/8 HW2 due
Fri 10/10 HW3 posted
------ 10/13 Fall break, no class ---
Wed 10/15 Midterm-1
Wed 10/22 HW3 due, HW4 posted
Wed 10/29 Midterm-2
Wed 11/5 HW4 due
11/13 HW5 posted
11/22 HW6 posted
Mon 12/1 HW5 due
Wed 12/3 HW6 due
Wed 12/10 9:50-11:40 Final exam
==========================
We have finished:
Chapter 1, Sec 1.1, 1.2, 1.3, 1.4, 1.5 (excluding the discussion on polar/spherical geometry)
Chapter 2, Sec 2.1, 2.2, 2.3, 2.4, 2.5
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
Midterm-1 (Oct 15) will focus on the materials from Chapter 1, 2, 4, and 8, from
the key sections listed above, plus the discussions from the lectures that
covered those materials.
------------
Midterm-2 (Oct 29) will focus on (i) Eigenvalue problem, (ii) Chapter 5
concerning the Sturm-Liouville theorem, and (iii) Chapter 7 concerning
PDEs in higher dimensions.
============ After midterm (main focus of final exam) =============
Chapter 3, Sec. 3.1, 3.2, 3.3, 3.4, 3.5, 3.6
Chapter 8, Sec 8.2 (from Eq. 8.2.18 to the end of section), Sec 8.3
Chapter 9, Sec 9.2 <-- will be excluded from final exam
Chapter 10, Sec 10.2, 10.3 (excluding Appendix to 10.3), 10.4.2, 10.5
+Application of Fourier transform method to nonhomogeneous PDE
Chapter 12, Sec 12.1, 12.2, 12.3.1, 12.6.1, 12.6.3, 12.6.5
Homework
Homework #1
Solutions
Homework #2
Solutions
Homework #3
Solutions
Homework #4
Solutions
Homework #5
Solutions
Homework #6
Solutions
Slides (formal, typed)
Slides #1 - First-day introduction, 8/24
Slides #2 - General remarks, 8/24
Slides #3 - Eigenvalue problem (for self study)
Slides #4 - Separation of variables, heat equation, 9/3, 9/8
Slides #5 - Qualitative discussion of heat equation, 9/8
Slides #6 - Orthogonality relation, 9/3, 9/8
Math cheat sheet
Slides #7 - Example for the solution of Laplace's equation, 9/22, 9/24
Slides #8 - Sturm-Liouville system 10/8
Slides #9 - Examples of Fourier Sine/Cosine series, 10/22, 10/27
Slides #10 - Fourier transform and PDE in an infinite domain, 10/29
Slides #11 - Example for the method of characteristics 11/17, 11/19
Slides #12 - Another example for the method of characteristics
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 R2012a/b or later versions instead.