Schedule update
Homework 1 - due Friday, October 9
Homework 2 - due Friday, October 23
Midterm - regular class time, Wednesday, October 28
Homework 3 - due Tuesday, November 17
Homework 4 - due Sunday, November 29
Final exam - regular class time, Wednesday, December 2
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A tentative list of key sections in textbook to be covered:
(Approximately in the order of planned lectures)
Red colored sections are already discussed in class.
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)
[Chapter 5 is discussed but will not be included in exams]
=== The sections above this line, and Lecture 1-15, are the scope of midterm ===
Chapter 3, Sec 3.1, 3.2, 3.3, 3.4, 3.5, 3.6
+ Solution of nonhomogeneous PDE by Fourier series expansion
+ Solution of nonhomogeneous PDE by Fourier transform
Chapter 8, Sec 8.1, 8.2, 8.3
=== The sections above this line are included in final exam. The focus
=== is on the material after midterm
=== Only an quick tour will be provided for the following chapters.
=== The material will not be in homework or 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
Chapter 12,Sec 12.1, 12.2, 12.3.1, 12.6.1, 12.6.3, 12.6.5
Homework
Homework #1, due at Canvas (Arizona time) 11:59 PM, Friday, October 9
Solution
Detail for Q2, Q3
Homework #2, due at Canvas (Arizona time) 11:59 PM, Friday, October 23
Solution (Q3 corrected)
Detail for Q2, Q3, Q4 (Q3 corrected)
Homework #3, due at Canvas (Arizona time) 11:59 PM, Tuesday, November 17
Solution
Detail for Q2, Q3
Homework #4, due at Canvas (Arizona time) 11:59 PM, Sunday, November 29
Solution (with detail)
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
