Math 1470: Partial Differential Equations I
Fall Semester '09 (2101), Dr. Rubin
General Class Information
- Class Meetings:
MWF, 2:00-2:50 PM, BENEDUM 1220
- Text:
Partial Differential Equations: An Introduction, Second Edition, by Walter A. Strauss
- Office Hours: MF 3-4 PM, T 1:15-2 PM, and by appointment
- Grader: Chris Jones (csj3@pitt.edu)
- FINAL EXAM: Wednesday, December 16th, 10:00-11:50 AM
Agenda/Homework Problems
Below is the schedule of sections from Strauss to be covered, along with links to the handout for the week, extra handouts, and homework solutions.
-
Weeks 1-2: M 8/31 - F 9/9 = What is a PDE? (1.1),
Initial and Boundary
Conditions (1.4), Well-Posed Problems (1.5).
Partial derivative practice questions.
Solutions to homework from Sections 1.1, 1.4.
Quiz: Friday, September 11th.
-
Week 3: M 9/14 - F 9/18 = First Order Linear Equations (1.2), Types of Second-Order Equations (1.6), The Wave Equation (2.1).
Solutions to Week 3 homework.
- Week 4: M 9/21 - F 9/25 = The Wave Equation (2.1), Causality and Energy (2.2). Quiz: Wednesday, September 23rd.
Notes for Friday, September 25.
COMPLETE Solutions to Week 4 homework.
-
Weeks 5-6: M 9/28 - W 10/7 = The Diffusion Equation (2.3), Diffusion on the Whole Real Line (2.4). Solutions to Weeks 5-6 homework from Section 2.3.MIDTERM 1 - Monday, October 5th, with take-home part due Wednesday, October 7th.
- Weeks 6-7: F 10/9 - F 10/16 = Separation of Variables: The Dirichlet Condition (4.1) and the Neumann Condition (4.2).
Solutions to homework problems from Section 2.4.
Solutions to homework problems from Sections 4.1-4.2.
- Week 8: M 10/19 - F 10/23 = The Robin Condition (4.3) and Nonhomogeneous Boundary Conditions. Quiz: Wednesday, October 21st.
Solutions to homework problems from Week 8.
- Week 9: M 10/26 - F 10/30 = Nonhomogeneous Boundary Conditions, The Fourier Series Coefficients (5.1), Even, Odd, Periodic and Complex Functions (5.2).
Solutions to homework problems from Week 9.
- Weeks 10-11: M 11/2 - M 11/9 = Orthogonality and General Fourier Series (5.3), parts of Completeness (5.4), and a small part of Completeness and the Gibbs Phenomenon (5.5).
Quiz 4: Wednesday, October 4th, on Sections 5.1-5.2. Solutions to homework problems from Weeks 10-11.
- Weeks 11-12: W 11/11 - F 11/20 = Laplace's Equation (6.1), Rectangles and Cubes (6.2).
Wednesday, November 18th: Midterm Exam II.
Solutions to homework problems from Weeks 11-12.
- Weeks 13-14: M 11/23 - F 12/4 = Poisson's Formula (6.3), Circles, Wedges, and Annuli (6.4), Opportunities and Dangers (8.1), Approximations of Diffusion (8.2).
FINAL EXAM: WEDNESDAY, DECEMBER 16TH, 10:00-11:50 AM, BENEDUM 1220
Updated 11/23/09