Schedule update
Homework is due at start of 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 January 22, due 6:00 PM, February 8
HW2: Released on February 16, due 6:00 PM, March 1
--- March 5-12: Spring break ---
Midterm: Scheduled on March 15, regular class time
HW3: due 6:00 PM, April 5
HW4: due 6:00 PM, Monday, April 17
HW5: due 6:00 PM, Wednesday, April 26
Final exam: Wednesday, May 3, 4:50-6:40 PM
===============================
We have discussed:
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 systems)
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
Lecture 1-13
All sections listed above, and related discussions given in lectures, form
the scope of the midterm.
----- Below this line are the main subjects covered after midterm -----
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
Lecture 14-27
Homework
Homework #1 (due 6:00 PM, February 8)
Solutions
Homework #2 (typo corrected) (due 6:00 PM, March 1)
Solutions
Homework #3 (due 6:00 PM, April 5 - New due date)
Solutions
Homework #4 - revised with correction to Q2 (due 6:00 PM, April 17)
Solutions
Homework #5 (due 6:00 PM, April 26)
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 slides posted above this line have been discussed ========
Matlab
Octave (free and open alternative to Matlab)
Basic Matlab programming
Links to individual matlab example codes
Very basic Matlab setup guide for ASU users
Update: In p.3, the version "R2009b" is out of date. Use R2015 or later versions instead.
