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.
02/02/10: 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.)


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.

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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)

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Exams

Midterm Exam, Practice: PDF (uploaded)

Midterm Exam, Solution for Practice : PDF (uploaded)

Midterm Exam, Solution: PDF (uploaded)

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