Schedule update
Homework is due at start of class on the due date.
The projected due dates (in black) for homework assignments are approximate.
The precise dates will be posted in red once they are finalized.
HW1: due 6:00 PM, Wednesday, September 20
HW2: due 5:00 PM, Friday, October 6
(Instructor will be at ERC359 to collect the paper
from 3:00-5:00 PM on October 6th.)
Midterm: 6:00-7:15 PM, Wednesday, October 11
HW3: due 6:00 PM, Monday, November 13
HW4: due 6:00 PM, Monday, November 27
HW5: due 5:00 PM, Friday, December 1
Final Exam: Wednesday, December 6, 4:50-6:40 PM
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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
Chapter 4, Sec 4.2, 4.4
The sections listed above, plus ALL material discussed in class from
Lecture 1-13, will be the scope of midterm exam.
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Chapter 5, Sec 5.1, 5.2, 5.3 (excluding the discussion on Rayleigh quotient)
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The sections listed below, plus all related material discussed in class,
will form the scope for the 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 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.) [Note: Chapter 7 is excluded from final exam.]
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
Lecture 14-26, excluding the material related to Chapter 5 and 7
Homework
Homework #1, due 6:00 PM, Wednesday, September 20
Solutions
Homework #2, due 5:00 PM, Friday, October 6
Note a correction made to Prob 1(c). The range of integral is from 2 to 5.
Solutions
Homework #3, due 6:00 PM, Monday, November 13
Solutions
Homework #4, due 6:00 PM, Monday, November 27
Solutions
Homework #5, due 5:00 PM, Friday, December 1
[Instructor will be in office (ERC 359) from 3:00-5:00 PM on December 1 to collect the paper.]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
Matlab
Octave (free and open alternative to Matlab)
Basic Matlab programming
Links to individual matlab example codes
