Date | Lecture Material |
Week 1 | |
1/26/17 | 4.1: Riemann integration |
Week 2 | |
1/31/17 | 4.2 (cf. 3.8): Center of gravity, Probability |
2/2/17 | 4.3: Integrability |
Week 3 | |
2/7/17 | 4.4: Null and co-null sets |
2/9/17 | 4.5: Multiple integration (Fubini) |
Week 4 | |
2/14/17 | 4.6: Numerical integration |
2/16/17 | 4.7,4.8: Non-dyadic pavings, Determinants |
Week 5 | |
2/23/17 | 4.9: Determinant scales volume |
Week 6 | |
2/28/17 | 4.10: Change of variables |
3/2/17 | 4.11: Lebesgue integration, part 1 |
Week 7 | |
3/7/17 | Prelim 1 |
3/9/17 | Lebesgue integration, part 2 |
Week 8 | |
3/14/17 | 5.1/5.2: Parallelotopes and Parametrizations |
3/16/17 | 5.3: Volumes of manifolds |
Week 9 | |
3/21/17 | 5.4: The Gauss map |
3/23/17 | 5.5: Snowflakes, Gaskets, and fractal dust |
Week 10 | |
3/28/17 | 6.1: Alternating k-forms and wedges thereof |
3/30/17 | 6.2, 6.3: Orienting manifolds and integrating forms (part 1) |
Spring Break | |
Week 11 | |
4/11/17 | 6.4: Integrating forms over manifolds |
4/13/17 | 6.5: Interpreting forms in vector calculus |
Week 12 | |
4/18/17 | 6.6: Boundaries |
4/20/17 | 6.7: Exterior derivatives |
Week 13 | |
4/25/17 | 6.8: Exterior derivatives in three-space (div, grad, curl) |
4/20/17 | 6.9: Pullbacks |
Week 14 | |
5/2/17 | 6.10: STOKES! |
5/4/17 | 6.11: Classical versions of Stokes |
Week 15 | |
5/9/17 | 6.12: Maxwell's laws (let there be light) |
Last Updated 2017-01-24