Any comments and suggestions about this class are much appreciated! You may either talk to me, or email me at

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- (12/19) The grades are now officially submitted (and can be checked
by logging into CIS.)
Since this is an usually good class, my curve has to be really good too.
Among
**36**takers of the final exams,**15**get A or A-,**10**get B+, B, B-,**5**get C+ or C. If you have any question regarding your grades, please first check your grade at CIS before emailing me. Have a good winter break! - (12/18) The final exam has been graded. There are 36 takers,
with medium at
**73**. Detailed distribution: 90-100:**5**, 80-89:**9**, 70-79:**5**, 60-69:**7**, 50-59:**4**, 40-49:**5**, < 40:**1**. - (12/11) I wish to emphasize that the preparation for the final exam should start with, but should not end with, reviewing the past exams.
- (12/11) Scan of MT 4 solution.
Note that the
*printed*problems are from an old version of the draft, while the exams are from the last version. However, the solutions are exactly those for the last version. So use your own exam together with the solutions here. - (12/8) The fourth midterm has 35 takers, with medium at
**88**. Detailed distribution: 90-100:**17**, 80-89:**3**, 70-79:**5**, 60-69:**4**, 50-59:**2**, 20-39:**4**. - (12/1) The scan pdf of problems #10, 20 of Sect 7.2.
For the MT4, please make sure that you can do

**(a)**All HW problems (esp those in Sect 7.1-7.2.)

**(b)**Proofs and applications of 5 facts (and HW #10, 19, 20) in 7.2.

**(c)**Derivation of solutions of heat and wave equations in 7.3.

**(d)**Heat kernel.

All these I've spoken in depth in today's lecture. - (11/14) The third midterm has 37 takers, with medium at
**73**. Detailed distribution: 90-100:**3**, 80-89:**10**, 70-79:**8**, 60-69:**8**, 50-59:**6**, 20-39:**2**. - (11/4) The third midterm will cover 3 equations: wave equation, heat
equation and Laplace equation.
Students are expected to be able to solve all these equations via
separation of variables,
*from start to finish*, without memorizing the final formulas. More details on Monday (4 Nov). - (11/1) There is a minor mistake in the solution manual, Section 3.3 #13. lambda_n should be sqrt{n^2 -(.5)^2} instead. (Thanks to Christopher for pointing it out to me!)
- (10/27) The scan PDF file of one page of my lecture notes for D'Alembert's solution.
- The Second Midterm exam results:
**37**students with**medium score is 90(!)**. Detailed distribution: 90-100:**20**, 80-89:**8**, 70-79:**6**, 21-49:**3**. - The
**scan of extra solutions to 1.1-2.1**. - The midterm exam will be returned to you on Monday (20th).
There are 41 exams graded and the
**medium score is 75**. Detailed distribution: 90-100:**8**, 80-89:**11**, 70-79:**5**, 60-69:**6**, 50-59:**6**, 40-49:**3**, 0-39:**2**. - The
**scan of solution to MT1.**The 3 problems from MT1 are adapted from HW problems: A.2 #32, A.3 #21, A.5 #3. **The first midterm exam is moved to 15th Sep (Wednesday). Make sure you attend the exam. No make-ups!****Student Solution Manual**can be downloaded here.- Scan of
**additional solutions**of MT1 HW problems **The tutoring center schedule for PDE:**

**Caleb**: Monday - Friday 3:00 - 6:00

**Justin**: Monday 4:00 - 8:00, Tuesday/Thursday 9:00 - 12:00

**Matt**: Monday/Wednesday 9:00 - 11:30, Tuesday 8:00 - 10:30

**Tony**: Monday/Wednesday 9:00 - 1:00, Tuesday 11:00 - 1:30, Wednesday 12:00 - 2:00

**Victor**: Monday - Thursday 2:00 - 5:00

**Xiaozhen**: Tuesday 11:00 - 12:00 & 2:00 - 3:00, Wednesday/Friday 9:00 - 11:00, Thursday 8:00 - 12:00

- (Due 8/30) Appendix A.1 #4,5,11,13,25,27
- (Due 9/8) A.2 #5,25,29,32,47; A.3 #1,3,21,23,41
- (Due 9/13) A.5 #1,3,15 (up to m=6)
- (Due 9/15) A.6 #5,9,13.
**Note: This set is due on Wednesday, an unusual shift. However, feel free to turn it in on Monday.** - (Due 9/27)
**1.1**#1, 6, 7, 11, 12 13;**1.2**# 4;**2.1**# 1(c,d), 2(b), 7,8 - (Due 10/4)
**2.2**#1, 5(a), 7(a);**2.3**# 1, 5;**2.4**#1(a), 5(a);**2.5**#1;**2.6**#1, 5 - (Due 10/25)
**3.1**#1, 4, 5, 6, 9 - (Due 11/1)
**3.3**#1(a), 4(a), 5(a), 13;**3.4**#1, 3, 4, 14 - (Due 11/8)
**3.5**#1, 2, 5, 9, 11, 13;**3.6**#1, 2, 4 - (Due 11/22)
**7.1**#1, 5, 13(a);**7.2**#1, 5; - (Due 11/29
**changed to 12/1**!)**7.2**#10, 19, 20;**7.3**#1, 3, 9 - (Due 12/6)
**7.4**#1, 5

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