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math104-f21:start [2021/11/22 13:05]
pzhou [Week 14] 		math104-f21:start [2022/01/11 10:57] (current)
pzhou ↷ Links adapted because of a move operation
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   * Principles of Mathematical Analysis, by Walter Rudin    * Principles of Mathematical Analysis, by Walter Rudin 
   * Introduction to analysis, by Terry Tao. ([[https://link.springer.com/book/10.1007%2F978-981-10-1789-6 | springer link ]])   * Introduction to analysis, by Terry Tao. ([[https://link.springer.com/book/10.1007%2F978-981-10-1789-6 | springer link ]])
-  * notes from 2021 spring [[math104-2021sp:start|previous version]]+  * notes from 2021 spring [[math104-s21:start|previous version]]
 ==== Grading ==== ==== Grading ====
 20% homework; 2 midterms 20% + 20%; and final 40%.  If you didn't do well in one of the midterm, you have the option to drop it, and final will have a 60% weight. The lowest homework grades will be dropped. 20% homework; 2 midterms 20% + 20%; and final 40%.  If you didn't do well in one of the midterm, you have the option to drop it, and final will have a 60% weight. The lowest homework grades will be dropped.
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   * Sep 17: Finish Cauchy sequence is convergent. Limit points and subsequence.    * Sep 17: Finish Cauchy sequence is convergent. Limit points and subsequence. 
   * [[HW4]] Due next Tuesday 6pm   * [[HW4]] Due next Tuesday 6pm
-  * [[math104:midterm1-review|]]+  * [[math104-f21:midterm1-review]]
  
 ==== Week 5 ==== ==== Week 5 ====
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   * Oct 11 Closure and Interior. Open covers and Compact sets   * Oct 11 Closure and Interior. Open covers and Compact sets
   * Oct 13 Compact sets are closed. Closed subset of compact set is compact. Compactness is absolute notion. (Rudin 2.30, 2.33, 2.34, 2.35)   * Oct 13 Compact sets are closed. Closed subset of compact set is compact. Compactness is absolute notion. (Rudin 2.30, 2.33, 2.34, 2.35)
-  * Oct 15 Towards Thm 2.41. Finishing compactness. (will not talk about perfect set). [[math104:compactness|sequential compactness and compactness]] +  * Oct 15 Towards Thm 2.41. Finishing compactness. (will not talk about perfect set). [[math104-f21:compactness|sequential compactness and compactness]] 
   * [[HW8]] Due next Thursday 6pm.    * [[HW8]] Due next Thursday 6pm. 
  
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 ==== Week 13 ==== ==== Week 13 ====
 Rudin Ch 5, Differentiation.  Rudin Ch 5, Differentiation. 
-One can also see notes from 2021 spring [[math104-2021sp:start|previous version]]+One can also see notes from 2021 spring [[math104-s21:start|previous version]]
  
   * Nov 15: definition. examples. Chain rule.    * Nov 15: definition. examples. Chain rule. 
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 ==== Week 15 ==== ==== Week 15 ====
-  * Nov 29 +  * Office hour of GSI changed this week:  3pm - 6pm Tuesday and 9am-4pm Wednesday. 
-  * Dec 1 +  * Videos from [[math104-s21:start|past semester]] are available on bcourse media gallery. You can use them for review. 
-  * Dec 3+ 
 +  * Nov 29: Continuous function and Monotone functions are Riemann integrable.  
 +  * Dec 1: Riemann Stieltjes integral 
 +  * Dec 3: Fundamental Theorem of Calculus  
 +  * [[HW15]], this is only for practice, not due. 
 + 
 +==== Week 16 ==== 
 +Review week. No class. We have daily office hours 12-1pm, at [[https://berkeley.zoom.us/j/97935304012|zoom link]], from Monday-Thursday. If you plan to come, please arrive by 12:10.  
 + 
 +  * Tuesday office hour will be held in-person only. 12:10noon-1pm.  
 + 
 + 
 +==== Final ==== 
 + 
 +{{ math104-f21:math_104-final.pdf |final exam and solution}}, [[math104-f21:final-mistakes]], [[final-grades]]
  
  
  
  
math104-f21/start.1637615107.txt.gz · Last modified: 2021/11/22 13:05 by pzhou

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