math104-f21:start
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math104-f21:start [2021/12/15 06:11] pzhou [Week 16] |
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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 15 ==== | ==== Week 15 ==== | ||
| * Office hour of GSI changed this week: 3pm - 6pm Tuesday and 9am-4pm Wednesday. | * Office hour of GSI changed this week: 3pm - 6pm Tuesday and 9am-4pm Wednesday. | ||
| - | * Videos from [[math104-2021sp:start|past semester]] are available on bcourse media gallery. You can use them for review. | + | * Videos from [[math104-s21:start|past semester]] are available on bcourse media gallery. You can use them for review. |
| * Nov 29: Continuous function and Monotone functions are Riemann integrable. | * Nov 29: Continuous function and Monotone functions are Riemann integrable. | ||
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| ==== Final ==== | ==== Final ==== | ||
| - | {{ :math104: | + | {{ math104-f21: |
math104-f21/start.1639548713.txt.gz · Last modified: 2026/02/21 14:43 (external edit)
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