Lecture Room: | B123 Van Vleck |
Lecture Time: | 11:00–12:15 TuTh |
Lecturer: | Jean-Luc Thiffeault |
Office: | 503 Van Vleck |
Email: | |
Office Hours: | Tue 10:00–11:00, Thu 12:30–13:15 |
The final is Monday May 7, 2018 at 14:45–16:45, room Van Vleck B239.
See the official syllabus.
The textbook for the class is Applied Partial Differential Equations by Richard Haberman.
The current edition is the Fifth, but you can use earlier editions if you find them for cheaper. (Earlier edition might be missing a bit of material, so you can use the copy on reserve in the library for reference in those cases.)
Math 319 and 321.
Every two weeks or so I will assign homework from the textbook (or other sources) and post it here. The homework will be due in class about two weeks later.
homework | due date | problems |
1 | 02/08 | 1.2: 3,5; 1.3: 1,2; 1.4: 1(bceg),2,5,10; 1.5: 1,3,5,12,18,19,22,23. |
2 | 02/22 | 2.2: 2,3,4; 2.3: 1(bd),2(aceg),3(ab),4,5,7,11; 2.4: 1,2,3,4. |
3 | 03/08 | 2.4: 7(b); 2.5: 1(bg),2,3(a),5(b),8(b),12; 3.3: 2(c),4,5(a),7,15. |
4 | 03/22 | 3.4: 9,11; 3.5: 1; 3.6: 2; 4.2: 1; 4.4: 3,7,9,10. |
5 | 04/05 | 5.3: 2,3,8,9; 5.4: 1; 5.5: 1(de),8; 5.8: 1,6,9,11. |
6 | 04/19 | 7.2: 2; 7.3: 1(e),4(a),7(b); 7.7: 2(a),3,7. |
7 | 05/03 | 7.8: 2; 7.9: 1(d),3(a),4(b); 7.10: 2(bd),9(d); 8.2: 1(bf),2(d),3,5,6(b). |
There will be a midterm exam and a cumulative final exam. The final grade will be computed according to:
Homework | 35% |
Midterm exam | 30% |
Final exam | 35% |
The midterm exam will be given in class on the date below.
Midterm exam | [solutions] | |
Final exam | Monday May 7, 2018 at 14:45–16:45, room Van Vleck B239 |
We'll use Piazza Q&A for discussions about the class and related topics. Feel free to post questions and answers there about homeworks and exams, logistics, or relevant interesting things you found on the web. Note that we will only use Piazza for the Q&A feature, not for posting the actual homeworks.
Note: there is not necessarily a one-to-one correspondence between lectures numbers and dates.
lecture | date(s) | sections | topic |
1 | 01/23 | 1.1–1.2 | Heat equation |
2 | 01/25 | 1.2–1.3 | Heat equation (cont'd); Boundary conditions |
3 | 01/30 | 1.4–1.5 | Equilibrium distribution; Higher dimensions |
4 | 02/01 | 1.5; 2.1–2.2 | Higher dimensions (cont'd); Linearity |
5 | 02/06 | 2.3 | Separation of variables |
6 | 02/08 | 2.3 | Separation of variables (cont'd) |
7 | 02/13 | 2.4 | Separation of variables (cont'd) |
8 | 02/15 | 2.5 | Laplace's equation |
9 | 02/20 | 2.5.2 | Laplace's equation in a disk |
10 | 02/22 | 2.5.4 | Mean value theorem; Maximum principle; Uniqueness |
11 | 02/27 | 3.1–3.3 | Fourier series; Sine and cosine series |
12 | 03/01 | 3.4–3.6 | Differentiation and integration of Fourier series; Complex form |
13 | 03/06 | 4.1–4.4 | Wave equation |
14 | 03/08 | 4.5; 5.1–5.4 | Vibrating membrane; Sturm–Liouville eigenvalue problems |
15 | 03/13 | – | Midterm |
16 | 03/15 | 5.5 | Sturm–Liouville eigenvalue problems |
17 | 03/20 | 5.8 | Sturm–Liouville example |
18 | 03/22 | 7.1–7.3 | Higher-dimensional PDEs |
– | 03/27,29 | – | Spring Break |
19 | 04/03 | 7.7 | Vibrating circular membrane; Bessel functions |
20 | 04/05 | 7.7–7.8 | More on Bessel functions |
21 | 04/10 | 7.9 | Laplace in a Cylinder; Modified Bessel functions |
22 | 04/12 | 7.10 | Spherical coordinates; Legendre polynomials |
23 | 04/17 | 7.10.3–5 | Legendre functions; Reactive particle |
24 | 04/19 | – | Reactive particle (cont'd) |
25 | 04/24 | 8.1–8.3 | Nonhomogeneous problems |
26 | 04/26 | 8.5 | Resonance |
27 | 05/01 | – | Discussion of final; Review |