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math214:home [2020/04/10 10:51] pzhou [Lectures] |
math214:home [2020/05/01 15:28] pzhou [Lectures] |
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Zoom Meeting: [[https:// | Zoom Meeting: [[https:// | ||
- | Zoom Office hour: Wednesday 2-4pm, Thursday 1-2pm, at PMI number: | + | Zoom Office hour: [[https:// |
+ | Wednesday 2-4pm, Thursday 1-2pm, at PMI number: | ||
the zoom channel, "Math 214". If I am not in ' | the zoom channel, "Math 214". If I am not in ' | ||
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* typo in the note: one page 2, right column. I wrote incorrectly that, "if $p \in K \cap gK$ then $p, gp \in K$". The correct statement is that "if $g \in G_K$, then there exist $p \in K$ such that $g \cdot p \in K$" | * typo in the note: one page 2, right column. I wrote incorrectly that, "if $p \in K \cap gK$ then $p, gp \in K$". The correct statement is that "if $g \in G_K$, then there exist $p \in K$ such that $g \cdot p \in K$" | ||
* 03-20: Ch 19, Distribution. covered up to Frobenius Thm (statement and sketch of proof) | * 03-20: Ch 19, Distribution. covered up to Frobenius Thm (statement and sketch of proof) | ||
- | * HW9: Ch 21: 1,5,9,16. Ch 19: 1. | + | * HW9: Ch 21: 1,5,9,16. Ch 19: 1. [[hw9-sol]] |
* Week 10. From Wednesday on, we will start to use the [[https:// | * Week 10. From Wednesday on, we will start to use the [[https:// | ||
* 03-30: Riemannian metric: an introduction with examples and no proofs.[Lee] | * 03-30: Riemannian metric: an introduction with examples and no proofs.[Lee] | ||
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* [[04-06]]: {{ : | * [[04-06]]: {{ : | ||
* Errata of ipad note: page 1, right column. It should be: if $A = \omega \ot (e_\alpha \ot \delta^\beta)$, | * Errata of ipad note: page 1, right column. It should be: if $A = \omega \ot (e_\alpha \ot \delta^\beta)$, | ||
- | * 04-08: | + | * 04-08: {{ : |
+ | * 04-10: {{ : | ||
+ | * [[hw11 | Homework 11]] Due Sunday 8pm. [[hw11-hint]] | ||
+ | * Week 12 | ||
+ | * 04-13: {{ : | ||
+ | * 04-15: {{ : | ||
+ | * 04-17: {{ : | ||
+ | * [[hw12| Homework 12]] Due Sunday 8pm. | ||
+ | * Week 13: | ||
+ | * Calculus of Variation. Jacobi Field. Reference: Milnor Morse Theory (available online). Lee, Riemannian manifold, Ch 10 (available through library online, or {{ : | ||
+ | * 04-20: {{ : | ||
+ | * 04-22: {{ : | ||
+ | * 04-24: | ||
+ | * [[hw13]] | ||
+ | * Week 14: de Rham cohomology | ||
+ | * 04-27: {{ : | ||
+ | * 04-29: {{ : | ||
+ | * 05-01: {{ : | ||
+ | |||
+ | ** [[hwsol | Students Homework Solutions]] ** |