Math417 Spring 2010: Partial Differential Equations for Applications
Announcements
12/8/09: Welcome!
The first meeting is on Tuesday January 26.
02/02/10: Solution to HW1 uploaded.
02/15/10: [important] Due to the change of the academic calendar, we will make a couple of
changes in the schedules and exams. The date for the midterm will be fixed after
the new academic calendar are posted. The schedule for week 6-14 are up to
change.
02/21/10:
In homework 3,
3.3.1 c
should be in the next homework.
03/04/10: In homework 5,
8.2.3
should not be included.
03/11/10: Practice and Solution for the midterm exam have been posted.
03/25/10: I have uploaded the solution for the midterm exam. The test paper will
be turned back to you in class of March 30.
(If you believe a
grading error was made, return the test paper to me at the end of the class
period, together with a note explaining which problem is in dispute and what
correct work of yours was overlooked.)
Office Hours: Thursday 2--4 PM in Krieger 222 or by appointment
Lecture: Tuesday and Thursday 12:00 PM--1:15 PM in Krieger 304
Textbook: Applied Partial Differential Equations, Richard Haberman, Fourth Edition
Grader: Xuehua Chen (xchen@math.jhu.edu) in Krieger 201 (Her help room schedule is Fridays 3-5PM, Krieger 213)
Lecture Schedule and Assignment
Disclaimer: The
schedule of future readings is approximate, and is always subject to change. Be
sure to check this page for updated
information before starting work on any assignment.
Problem sets are due on Tuesdays in class. No late problem set will be accepted.
Week |
Beginning |
Topics |
Reading |
Homework |
Due Date |
1 |
Jan 25 |
Introduction Derivation Boundary conditions (BC) |
1.1--1.5 | 1.2.1 c d, 1.2.9, 1.3.1, 1.5.3, 1.5.12 | Feb 2 |
2 |
Feb 1 |
Separation of variables Heat equation |
2.1--2.4 |
2.2.4, 2.3.2 e, 2.3.3 b, 2.3.8 Prove page 62 (2.4.22) |
Feb 16 |
Feb 8 | No class due to blizzard | ||||
3 |
Feb 15 |
Laplace equation Fourier series |
2.5.1--2.5.2 3.2--3.3 |
2.4.1 b, 2.4.3, 2.5.1 a 3.2.2 ad, 3.3.2 ac |
Feb 23 |
4 |
Feb 22 |
Fourier series Term by term differentiation |
3.3--3.4 |
3.3.1 c, 3.3.6 ab, 3.3.18 3.4.1, 3.4.6, 3.4.7, 3.4.8 |
March 2 |
5 |
Mar 1 |
Fourier series: complex form Inhomogeneous Problems |
3.5--3.6 8.2--8.3 |
3.5.1 ab, 3.5.5 8.2.2 be, 8.3.1 e |
Mar 9 |
6 |
Mar 8 |
Wave equation Review I [PDF] |
4.1--4.5 |
4.2.1 with constant density 4.3.1, 4.4.3 b, 4.4.4 |
Mar 23 |
7 | Spring Vacation | ||||
8 | Mar 22 |
Maximum
principle,
Uniqueness Midterm Exam |
no homework | ||
9 | Mar 29 |
Sturm-Liouville problem Worked example Self-adjoint operator |
5.2--5.5 | 5.3.2 bc, 5.3.4 ac, 5.3.5, 5.3.9, 5.4.5 | Apr 6 |
10 | Apr 5 |
Rayleigh quotient Robin BC |
5.5, 5.6, 5.8 | 5.5.1 cdf, 5.5.8, 5.6.1 ab, 5.6.3, 5.8.3 | Apr 13 |
11 | Apr 12 |
Approximation properties Large eigenvaluses Higher dimensional PDEs |
5.9--5.10 7.2--7.4 |
5.9.1 ac, 5.10.2 ac, 5.10.6, 7.3.2 a, 7.3.7 a, 7.4.1 | Apr 20 |
12 | Apr 19 |
Higher dimensional PDEs Bessel functions |
7.5--7.8.2 | 7.5.9, 7.6.4, 7.7.3 b, 7.7.12 bd, 7.8.12 | Apr 27 |
13 | Apr 26 |
Laplace equation Legendre polynomials |
7.8.4--7.10 | 7.9.3 a, 7.9.5, 7.10.1 h, 7.10.4, 7.10.9 a | May 4 |
14 | May 3 |
Review II [PDF] Method of characteristic |
12.2--12.5 | no homework |
Midterm Exam: March 25, in class.
Final Exam: take home (will be distributed on April 27), collected on May 10 (from
10AM to
3PM) in Krieger 222.
Solutions (Thanks Xuehua Chen)
HW1: PDF (uploaded)
HW2: PDF (uploaded)
HW3: PDF (updated)
HW4: PDF (uploaded)
HW5: PDF (uploaded)
HW6: PDF (uploaded)
HW7: PDF (uploaded)
HW8: PDF (uploaded)
HW9: PDF (uploaded)
HW10: PDF (uploaded)
HW11: PDF (uploaded)
Midterm Exam, Practice: PDF (uploaded)
Midterm Exam, Solution for Practice : PDF (uploaded)
Midterm Exam, Solution: PDF (uploaded)