University of Arizona | Department of Mathematics | Misha Stepanov | MATH 583B | Calendar
MATH 583B
Principles and Methods of Applied Mathematics
Section 001, Spring 2019
MATH 501, TR, 2:00–3:15pm
subject to change, last modified: Sat, May 04
| R | Jan 10 | MATH 583A Final Exam |
| T | Jan 15 | metastable states |
| R | Jan 17 | metastable states |
| T | Jan 22 | Fredholm alternative (7.6) |
| R | Jan 24 | spectrum of S |
| T | Jan 29 | S*, resolvent of shift operator U |
| R | Jan 31 | 7.3.2, u'' = f, u(0) = a, u(1) = b |
| T | Feb 5 | u'' = f, u'(0) = a, u'(1) = b |
| R | Feb 7 | u'' = f, u(0) = u(1) = u'(0) = u'(1) = 0 |
| T | Feb 12 | Poisson equation in half-plane |
| R | Feb 14 | Poisson equation, conformal mappings |
| T | Feb 19 | discussion of HW7 |
| R | Feb 21 | 8.1, integral equations |
| T | Feb 26 | 8.2, separable kernels, 8.6 |
| R | Feb 28 | Fredholm resolvent |
| T | Mar 12 | Spring 2016 & 2017 Midterms; 8.4, (I − B)−1 = I + B + B2 + … |
| R | Mar 14 | Midterm |
| T | Mar 19 | Fredholm resolvent, Volterra equation |
| R | Mar 21 | discussion of Midterm |
| T | Mar 26 | chapter 9, Euler–Lagrange equations |
| R | Mar 28 | discussion of HW9; 9.5, variational derivative |
| T | Apr 2 | 9.6, Lagrange multipliers |
| R | Apr 4 | Lagrange multipliers; 9.2.1, integral of motion; catenary |
| T | Apr 9 | 9.2, classical mechanics |
| R | Apr 11 | 9.7, Hamiltonian dynamics; 1.3.1, phase portraits |
| T | Apr 16 | Hamiltonian dynamics; 9.3.1, free ends |
| R | Apr 18 | 9.3.1, free ends |
| T | Apr 23 | Taylor series of (1 + z + z2)1 / 2 about z = 0 |
| R | Apr 25 | HW10, problems 2 and 3 |
| T | Apr 30 | HW10, problems 2, 4, 5, and 6 |
| M | May 6 | Final Exam, 1:00–3:00pm in MTL 124 |