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math214:home [2020/04/26 22:21]
pzhou [Lectures]
math214:home [2020/05/17 16:18]
pzhou
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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://www3.nd.edu/~lnicolae/Lectures.pdf| lecture note of Nicolascu ]] for topics about connections, denoted as [Ni]   * Week 10. From Wednesday on, we will start to use the [[https://www3.nd.edu/~lnicolae/Lectures.pdf| lecture note of Nicolascu ]] for topics about connections, denoted as [Ni]
     * 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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     * 04-24:  {{ :math214:note_24_apr_2020_3_.pdf |ipad note}}     * 04-24:  {{ :math214:note_24_apr_2020_3_.pdf |ipad note}}
     * [[hw13]]     * [[hw13]]
 +  * Week 14: de Rham cohomology
 +    * 04-27: {{ :math214:note_27_apr_2020_2_.pdf | ipad note}}
 +    * 04-29: {{ :math214:note_29_apr_2020_2_.pdf | note}} Poincare duality. {{ :math214:mv-sequence.pdf |Excerpt from Bott-Tu}}, p23-24, on MV sequence. 
 +    * 05-01: {{ :math214:note_1_may_2020_2_.pdf | note}}  Singular, Cech, Morse cohomology. 
      
 + ** [[hwsol | Students Homework Solutions]] **
  
 +
 +===== Final =====
 +[[final]] and [[final-solution]]
math214/home.txt · Last modified: 2020/12/18 21:23 by pzhou