Schedule update
Homework is due before class on the due date.
---- Mon 1/19 MLK Jr Day, no class ----
Wed 1/28 HW1 released
Wed 2/11 HW1 due
2/15 HW2 released
Wed 2/25 HW3 released
Mon 3/02 HW2 due <-- Note new date
---- 3/8 - 3/15 Spring Break, no class ----
Mon 3/16 Midterm I (full 75 minutes, 3 questions)
Wed 3/18 Midterm II (shorter, 2 questions)
Mon 3/23 HW3 due <-- Note new date
Tue 3/24 HW4 released
4/05 HW5 released
Wed 4/08 HW4 due <-- Note new date
Wed 4/15 HW6 released
Wed 4/22 HW5 due <-- Note new date
Wed 4/29 HW6 due; last lecture before final
Monday 5/4, 4:50-6:40 PM, 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 (March 16) 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 (March 18) 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 <--- Excluded from final exam
Chapter 10, Sec 10.2, 10.3 (excluding Appendix to 10.3), 10.4.2, 10.5
Chapter 12, Sec 12.1, 12.2, 12.3.1, 12.6.1, 12.6.3, 12.6.5
Plus all material discussed in class after midterm - see informal slides.
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, 1/12
Slides #2 - General remarks, 1/12
Slides #3 - Eigenvalue problem (for self study) 1/12
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 above this line have been used or discussed ------
Slides #11 - Example for the method of characteristics
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.