Math417 Spring 2010: Partial Differential Equations for Applications

[Lecture Schedule and Assignment][PDF (updated)] | [Solutions] | [Exams] | [General Information and Syllabus] [PDF (old)]

Announcements

12/8/09: Welcome! The first meeting is on Tuesday January 26.
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.)

Lecturer:        Chengbo Wang (cwang@math.jhu.edu) in Krieger 222

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)

HW3: PDF (updated)