Note that these are due dates and not date the problems are assigned. These dates are subject to change, you will get email when they do change. Only the assignments in red are for the current semester; the assignments in black are from last summer (roughly).
| due date | Section(s) and Problems | Notes |
| Mod Aug 27 | Welcome to Fourier Analysis and PDEs | |
| Wed Aug 29 | ||
| Fri Aug 31 | (Diagnostic) Test 0 | Counts as Quiz 0 |
| Mon Sep 3 | Labor day no class | |
| Wed Sep 5 | HW#01 §11.3 2, 4, 8 §11.1 15, 19, 23 | Old HW#01 §11.1 3, 9, 13, 22 |
| Fri Sep 7 | Quiz 1 | |
| Mon Sep 10 | HW#02 §11.1 3 Plot Problem #1 §11.2 6, 13, 17 §11.3 16 | Old HW#02 §11.2, 3, 17, §11.3, 2, 13, 23 §11.4 9, 10 |
| Wed Sep 12 | ||
| Fri Sep 14 | Quiz 2 | |
| Mon Sep 17 | HW#03 Plot Problem #2 §11.3 17, 25 §11.4 11, 12 §11.6 14 | Old HW#03 Plot B1 §11.5 11, 17, §11.6 5, 14, §12.1 14, 18, 25 |
| Wed Sep 19 | ||
| Fri Sep 21 | Quiz 3 | |
| Mon Sep 24 | HW#04 Plot Problem #3 §11.6 For f(x) =exp(|x|) (-pi < x < pi) find the best trig poly approximation for N=5 (based on #6); §11.review 24; §12.1 8, 12, 16, And show u =1/sqrt(x^2+y^2+z^2) satisfies (6), u=ln(x^2+y^2) satisfies (3) and determine if u=1/sqrt(x^2+y^2) satisfies (3) (based on #26c); | Old HW#04 Plot B2 §12.1 4, 11, 12 |
| Wed Sep 26 | Review | |
| Fri Sep 28 | Test 1 | |
| Mon Oct 1 | HW#05 §11.5 6, 10, §12.1 5, 9, 11, §12.review 20 | Old HW#05 §12.3 2, 3, 9 Do both Fourier coefficients and plot the solutions for at least t=0,1/4,1/2,3/4,1 |
| Wed Oct 3 | ||
| Fri Oct 5 | Quiz 4 | |
| Mon Oct 8 | HW#06 §12.3 2, 3, 9 (Do both Fourier coefficients and plot the solution for at least t=0, 1/4, 1/2, 3/4 and 1) [Check out geogebra widget] Extra2 problems #1, #6 and #11 | Old HW#06 §12.3 12, 16(use solution in #15) Extra problems #1 and #6 §12.4 2, 14 |
| Wed Oct 10 | ||
| Fri Oct 12 | Quiz 5 | |
| Mon Oct 15 | HW#07 §12.3 12, and repeat problem 2 but with f(x) = sin(pi*x)+sin(3*pi*x), Extra2 problems #5 and #10 §12.4 17, 20 (all 4 steps like the examples in extra2.pdf) | Old HW#07 §12.4 18 Extra problem #5 12.5 6, 11, 14, 24, 29, 32 |
| Wed Oct 17 | ||
| Fri Oct 19 | Quiz 6 | |
| Mon Oct 22 | HW#08 §12.4 2 and (all 4 steps) for 18, §12.5 6, 12, 16, 24 (hint for 24: substract off the steady state solution) | Old HW#08 §11.7 3, 5, 7, 10, 14, 16 |
| Wed Oct 24 | Review | |
| Fri Oct 26 | Test 2 | |
| Mon Oct 29 | HW#09 §12.5 7, 14, 27 §11.7 2, 3, and show that if u satisfies the heat equation u_t = u_xx and v = u(x,t)exp(-t) then v satisfies v_t = v_xx - v, the heat equation with convection. (compare §12.5 #25 and #26) | Old HW#09 §11.8, 1, 6, 11, 17 §12.6 3 Plot B3 |
| Wed Oct 31 | ||
| Fri Nov 2 | Quiz 7 | |
| Mon Nov 5 | HW#10 §11.7 8, 17 Plot problem #4 §12.5 29, 32 §12.6 Find the Fourier Integral for f(x) in #6 and use it to solve the heat equation problem in #6. | Old HW#10 §11.9 6, 10 and show that the fourier transform of exp(iax)f(x) is f-hat(w-a) §12.6 Solve 1& 6 by Fourier transforms and convolutions Prob FT1: Solve u_x + u_t = 0; u(x,0) = f(x) by Fourier Transforms Prob FT2: Solve u_x + u_t + u = 0; u(x,0) = f(x) by Fourier Transforms ft.pdf more on Fourier Transforms |
| Wed Nov 7 | ||
| Fri Nov 9 | Quiz 8 | |
| Mon Nov 12 | Veteran's Day No class | |
| Wed Nov 14 |
HW#11 §11.8 11, 12 §11.9 6, 10 §12.6 Solve #2 using the Fourier transform
like Example 2. And finally FT1: Solve t^2 u_x + 5u_t = 0; u(x,0) = f(x)
by Fourier Transforms. (Hint: ft.pdf)
|
Old HW#11 §12.8 12, 20 §12.9 7, 10 Laplacians Probs #1 and #3 |
| Fri Nov 16 | ||
| Mon Nov 19 | ||
| Wed Nov 21 | Quiz 9 | |
| Fri Nov 23 | Turkey Plus One, No class | |
| Mon Nov 26 | HW#12 §12.8 12, 20, §12.9 7, 10 Laplacian Probs #1 and #3 | Old HW#12 §12.9 5 12.10 5, 13, 14, 16 §12.11 5 |
| Wed Nov 28 | Review | |
| Fri Nov 30 | Test 3 | |
| Mon Dec 3 | The was no old HW#13 (it was a repeat of hw#12 ) | |
| Wed Dec 5 | HW#13 §12.9 6d (note the normal derivative is just partial/partial r) 12.10 5 (just for u_n), 13, 14, 15 §12.11 5 | |
| Fri Dec 7 | Last Day of classes | |
| Thurs Dec 13 | Final | 7:30am-9:30am |