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math104-f21:start [2021/11/19 21:42] pzhou [Week 13] |
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:// | * Introduction to analysis, by Terry Tao. ([[https:// | ||
- | * notes from 2021 spring [[math104-2021sp: | + | * notes from 2021 spring [[math104-s21: |
==== 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: | + | * [[math104-f21: |
==== 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: | + | * Oct 15 Towards Thm 2.41. Finishing compactness. (will not talk about perfect set). [[math104-f21: |
* [[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: | + | One can also see notes from 2021 spring [[math104-s21: |
* Nov 15: definition. examples. Chain rule. | * Nov 15: definition. examples. Chain rule. | ||
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==== Week 14 ==== | ==== Week 14 ==== | ||
- | | + | Rudin Ch6 |
+ | |||
+ | | ||
* Nov 24 No class. | * Nov 24 No class. | ||
* Nov 26 No class | * Nov 26 No class | ||
==== Week 15 ==== | ==== Week 15 ==== | ||
- | * Nov 29 | + | |
- | * Dec 1 | + | * Videos from [[math104-s21: |
- | * Dec 3 | + | |
+ | | ||
+ | * 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:// | ||
+ | |||
+ | * Tuesday office hour will be held in-person only. 12: | ||
+ | |||
+ | |||
+ | ==== Final ==== | ||
+ | |||
+ | {{ math104-f21: | ||