|
Course Number |
Time |
Location |
Instructor |
Office Hours |
E-mail |
|
TBA |
MW 10:25-11:40 |
Hylan Building Room 306 |
MW 1305-1350 or by appointment, 1018 Hylan Building |
xuwenmath@gmail.com |
Syllabus: The wave equation, the
heat equation, Laplace's equation, and other classical equations of
mathematical physics and their generalizations. Solutions in series of
eigenfunctions, maximum principles, the method of characteristics, Green's
functions, and discussion of well-posedness problems.
Prerequisites: MTH 164 and 165, or MTH
174.
Textbook: Walter Strauss, Partial
Differential Equations: An Introduction 2nd Edition, Wiley 2007.
Homework is assigned biweekly on Wednesdays, starting 1/31. It is due
in two weeks, on
Gradescope, every
Wednesday. (Except HW5 due 04/27) In
order to ensure that assignments are graded promptly, and to discourage
students from falling behind, LATE
ASSIGNMENTS WILL NOT BE ACCEPTED UNDER ANY CIRCUMSTANCES. However, in recognition of the fact that
unavoidable issues sometimes arise, the lowest two homework grades of each
student's homework grades (including zeros for unsubmitted assignments) will be
dropped when calculating final semester grades. Despite this policy, you should
complete every assignment, even if you miss a deadline, because math
is accumulative.
1. We use absolute grading system.
Tentatively, the cut-offs are 80% for A, 75% for B+, 70% for B, 65% for C+, 60%
for C, 55% for D+, 50% for D. That is, if everyone gets above 80%, then
everyone gets an A.
2. Incomplete "I" grades
are almost never given. The only justification is a documented serious medical
problem or a genuine personal/family emergency. Falling behind in this course
or problems with workload on other courses are not acceptable reasons.
3. You are responsible for knowing
and abiding by the University of Rochester's academic integrity code.
Any violation of academic integrity will be pursued according to the specified
procedures.
|
Week of |
Topic |
Reading assignment |
Homework |
|
1/15 |
1.1-1.2 |
||
|
1/22 |
1.3-1.4 |
1.5-1.6 |
|
|
1/29 |
1.5-1.6 |
2.1-2.2 |
Homework 1 (due 2/14) |
|
2/5 |
2.1-2.2 |
2.3-2.5 |
|
|
2/12 |
2.3-2.5 |
3.1-3.2 |
Homework 2 (due 2/28) |
|
2/19 |
3.1-3.2 |
3.3-3.5 |
|
|
2/26 |
3.3-3.5 |
4.1-4.3 |
Homework 3 (due 03/13); |
|
3/4 |
4.1-4.3 |
5.1-5.2 |
|
|
3/11 |
Spring Break |
||
|
3/18 |
5.1-5.2 |
5.3-5.4 |
Homework 4 (due 04/3); |
|
3/25 |
5.3-5.4 |
5.5-5.6 |
|
|
4/1 |
5.5-5.6 |
6.1-6.2 |
|
|
4/8 |
6.1-6.2 |
6.3-6.4 |
Homework
5
(due 04/24) |
|
4/15 |
6.3-6.4 |
7.1-7.2 |
|
|
4/22 |
7.1-7.2 |
7.3-7.4 |
|
|
4/30 |
7.3-7.4 |
||