Schedule update
Homework is due before class on the due date.
The projected dates (in black) for the release of homework assignments are
approximate. The precise release and due dates for the assignments will be
posted in red once they are finalized.
HW1: Released on Jan 28, due Feb 17
HW2: Released on Feb 15, due Mar 2
Midterm 1: Scheduled on Mar 2, regular class time
HW3: Released on Mar 22, due Apr 6
Take-home Project (substitute for Midterm-2): Released on Mar 28, due Apr 13 (6 PM)
HW4: Released on Apr 6, due Apr 20
HW5: Released on Apr 15, due Apr 27
Final exam: Scheduled on May 2, 4:50-6:40 pm
===============================
We have discussed:
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 on 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
All sections listed above, excluding material in Chapter 5, form the scope
for the 1st midterm. The relevant discussions are in Lectures #1-#12.
---------------
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 8.3
Chapter 9, Sec 9.2 (Chapter 9 will be excluded from 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
Solutions
Homework #2
Solutions
Homework #3
Solutions
Solutions for Take-home Project #1
Homework #4
Solutions
Homework #5
Solutions
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
===== The slide sets 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.