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math105-s22:start [2022/03/17 21:58] pzhou |
math105-s22:start [2022/05/02 14:25] (current) pzhou |
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Office: Evans 931, [[https:// | Office: Evans 931, [[https:// | ||
Office Hour: TuTh, 11:10 - 12:30, Friday 4-4:50 (zoom, by appointment. send me a message on discord to let me know) | Office Hour: TuTh, 11:10 - 12:30, Friday 4-4:50 (zoom, by appointment. send me a message on discord to let me know) | ||
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+ | ** Final **: May 12: 3-6pm, Evans 3 | ||
* Online Lecture: [[https:// | * Online Lecture: [[https:// | ||
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| [[.notes: | | [[.notes: | ||
| [[.notes: | | [[.notes: | ||
- | | [[.notes: | + | | [[.notes: |
| Spring Recess | Mar 22, 24. | | | | Spring Recess | Mar 22, 24. | | | ||
- | | Lecture 19 | Mar 29 Tue | | | + | | Lecture 19 | Mar 29 Tue | |
- | | Lecture 20 | Mar 31 Thu | | | + | | Lecture 20 | Mar 31 Thu | |
- | | Lecture 21 | Apr 5 Tue | | | + | | Lecture 21 | Apr 5 Tue | exterior derivative, wedge product | Pugh 5.8 | [[https:// |
- | | Lecture 22 | Apr 7 Thu | | | + | | Lecture 22 | Apr 7 Thu | |
- | | Lecture 23 | Apr 12 Tue | | | + | | Lecture 23 | Apr 12 Tue | |
- | | Lecture 24 | Apr 14 Thu | | | + | | Lecture 24 | Apr 14 Thu | |
- | | Lecture 25 | Apr 19 Tue | | | + | | Lecture 25 | Apr 19 Tue | |
- | | Lecture 26 | Apr 21 Thu | | | + | | Lecture 26 | Apr 21 Thu | |
- | | Lecture 27 | Apr 26 Tue | | | + | | Lecture 27 | Apr 26 Tue | |
- | | Lecture 28 | Apr 28 Thu | | | + | | Lecture 28 | Apr 28 Thu | |
| RRR | May 3 Tue | | | | RRR | May 3 Tue | | | ||
| RRR | May 5 Thu | | | | RRR | May 5 Thu | | | ||
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+ | ===== Final and Essay ===== | ||
+ | For the sake of grading, we will still have an in class final. It will be an open book exam. Exam will be on May 12 (Thursday, 3-6pm, Evans 3). It will consist of 5 problems, where you will decide if a statement is true or false; if true give a proof, if false, give a counter-example. | ||
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+ | In addition to the final, if you are interested in writing an essay (post on your homepage), or give a 15-min presentation (in the class day of class), here are some topics and you are free to choose your own. | ||
+ | * The Banach-Tarski paradox (see wikipage) | ||
+ | * Some counter-examples in analysis (see the book in discord) | ||
+ | * What is Fast Fourier transformation? | ||
+ | * How to put a measure on the space of Brownian motion? | ||
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