Schedule update
Hard copy report of homework is due at 6:00 PM on the due date.
Tentative schedule (confirmed dates will be colored in red)
Homework 1 - due Mon, 9/30
Homework 2 - due Wed, 10/16
Midterm - Wed, 10/23 (in class)
Homework 3 - due Wed, 11/6
Homework 4 - due Mon, 11/25
Homework 5 - due Wed, 12/4
Final exam - Wed, 12/11, 4:50-6:40 PM
Exams (midterm and final) are open book, open note. Computer and cellphone
are not allowed. Advanced calculator with programming and graphics functions
is not allowed, but a simple calculator is OK. Examples of calculators that
are permitted to use in exams:HERE
-----------------------
A minimum list of key sections in textbook to be covered:
(Approximately in the order of planned lectures)
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)
Chapter 4, Sec 4.2, 4.4
Chapter 5, Sec 5.1, 5.2, 5.3 (Chapter 5 is conceptual only)
==== The sections listed above, and the content of Lecture 1-14, form the ====
==== scope of midterm exam. The focus is on Chapter 1, 2, and 4. ====
The followin red-colored sections will be the focus of final exam:
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 8.1, 8.2, 8.3
Chapter 12, Sec 12.1, 12.2, 12.3.1, 12.6.1, 12.6.3, 12.6.5
==== The following chapters will be covered if time permits. They will not ====
==== be included in the final exam. ====
Chapter 7, Sec 7.1, 7.2, 7.3
Chapter 10, Sec 10.2, 10.3 (excluding Appendix to 10.3), 10.4.2, 10.5
+ Solution of nonhomogeneous PDE by Fourier transform
Homework
Homework #1, due 6:00 PM, Monday, September 30 (note revised due date)
Solution
Homework #2, due 6:00 PM, Wednesday, October 16
Solution
(Detail for Prob 2b, 3, and 4)
Homework #3, due 6:00 PM, Wednesday, November 6
Solution (Revised and re-posted on Nov 23)
(Detail for Prob 4, 5, and 6)
Homework #4, due 6:00 PM, Monday, November 25
Solution with detail
Homework #5, due 6:00 PM, Wednesday, December 4
Solution
(Additional detail of Prob 2 and 4 are in Lecture 25)
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
Matlab
Basic Matlab programming
Links to individual matlab example codes
