Instructor: Jingrun Chen
Textbook: Partial Differential Equations: An Introduction, by Walter A. Strauss, second edition.
Homework: Homworks are due Mondays at the start of the lecture. Late homeworks will not be accepted.
Exams: Tentative arrangement for two exams will be on Aug 18 and Sep 1.
Grading policy:
| Homework | 30% |
| Exam I | 25% |
| Exam II | 30% |
| Quiz | 15% |
Syllabus: We will try to cover Chap. 6, 7, 12 and 8 during this course.
(Notes in pdf file can be found from Viktor Grigoryan's homepage).Week 1 & the first half of Week 2: Harmonic Functions, Chap. 6
Laplace's Equation, Chap 6.1, Note.
Rectangles and Cubes, Chap 6.2, Note.
Poisson's Formula, Chap 6.3, Note.
Circles, Wedges, and Annuli, Chap 6.4, Note.
The second half of Week 2 & Week 3: Green's Identities and Green's Functions, Chap. 7
Green's First Identity, Chap 7.1, Note.
Green's Second Identity, Chap 7.2, Note.
Green's Functions, Chap 7.3, Note.
Half-Space and Sphere, Chap 7.4, Note.
Week 4 & the first half of Week 5: Distributions and Transforms, Chap. 12
Fourier Transforms, Chap 12.3, Note.
Source Functions, Chap 12.4, Note.
Laplace Transform Techniques, Chap 12.5, Note.
The second half of Week 5 & Week 6: Computation of Solutions, Chap. 8
Opportunities and Dangers, Chap 8.1, Note.
Approximations of Diffusions, Chap 8.2, Note.
Approximations of Waves, Chap 8.3, Note.
Approximations of Laplace's Equations, Chap 8.4, Note.
Fluids, Navier-Stokes equations, Note.