University of Arizona | Department of Mathematics | Misha Stepanov | MATH 583A | Calendar
MATH 583A
Principles and Methods of Applied Mathematics
Section 001, Fall 2018
MATH 501, TR, 2:00–3:15pm
subject to change, last modified: Tue, Nov 13
| T | Aug 21 | ch. 2: complex numbers/functions |
| R | Aug 23 | elementary functions |
| T | Aug 28 | differentiability; branches, cuts |
| R | Aug 30 | Riemann sphere, Riemann surfaces |
| T | Sep 4 | Cauchy's integral theorem, power series |
| R | Sep 6 | computing integrals; HW1 |
| T | Sep 11 | computing integrals |
| R | Sep 13 | Liouville theorem, rigidity of analytic functions |
| S | Sep 16 | last day to drop |
| T | Sep 18 | ch. 5: Fourier transform (FT) |
| R | Sep 20 | inverse FT, FT of 1; HW2 |
| T | Sep 25 | FT of 1, u(x), tanh(x) |
| R | Sep 27 | ch. 4, distributions |
| T | Oct 2 | FT of distributions, integral kernels |
| R | Oct 4 | HW2, problem 5; FT of distributions |
| T | Oct 9 | ch. 3: FT of periodic functions, Fourier series |
| R | Oct 11 | ζ(2) = π2/6; HW3 |
| T | Oct 16 | homework 3 |
| R | Oct 18 | Midterm |
| T | Oct 23 | midterm solution |
| R | Oct 25 | dx/dt = −x + f, Green's function |
| S | Oct 28 | last day to withdraw |
| T | Oct 30 | 5.10, 1D heat equation |
| R | Nov 1 | 2D Poisson equation |
| T | Nov 6 | 1D wave equation: (ωk) and (kω) |
| R | Nov 8 | 3D wave equation; HW4 |
| T | Nov 13 | 2nd order ODE |
| R | Nov 15 | cuts as overstretched poles; resolvent operator |
| T | Nov 20 | discrete → continuous spectrum; HW5 |
| T | Nov 27 | continuous spectrum, 6.5 |
| R | Nov 29 | bound state |
| T | Dec 4 | ... |
| T | Dec 11 | Final Exam, 3:30–5:30pm |