Schedule update
Homework is due at start of class on the due date.
HW1, due 6:00 PM, Wednesday, February 14 - confirmed
HW2, due 6:00 PM, Wednesday, February 28 - confirmed
Midterm, 6:00 PM, Wednesday, March 14 - confirmed
HW3, due 6:00 PM, Wednesday, March 21 - confirmed
HW4, due 6:00 PM, Wednesday, April 18 - confirmed
HW5, due 6:00 PM, Wednesday, April 18 - confirmed
HW6, due 6:00 PM, Friday, April 27 - confirmed
We have finished:
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 was excluded from midterm)
--- The sections posted above and the material in Lecture 1-13 will be the scope of midterm ---
--- The sections posted below and the material in Lecture 14-28 will be the scope 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 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 6:00 PM, Wednesday, February 14
Solution
Homework #2 , due 6:00 PM, Wednesday, February 28
Solution
Detail for Task2
Homework #3 , due 6:00 PM, Wednesday, March 21
Solution [a typo corrected for Task 2: (x-t) ⇒ (x-5t)]
Homework #4 , due 6:00 PM, Wednesday, April 18
Homework #5 , due 6:00 PM, Wednesday, April 18
Solution for HW4 and HW5
Homework #6 , due 6:00 PM, Friday, April 27
Solution
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
Octave (free and open alternative to Matlab)
Basic Matlab programming
Links to individual matlab example codes
