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prelim_solns [2021/09/23 22:49] gdepaul [Analysis] |
prelim_solns [2021/09/23 23:27] gdepaul [Algebra] |
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- | ====== Solutions to Prelim Exams ====== | + | ====== Solutions to Prelim Exams (Updated 23 September 2021) ====== |
Solutions may not all be correct. If you find something wrong, you're encouraged to send a correct solution, or at least what's wrong and why. | Solutions may not all be correct. If you find something wrong, you're encouraged to send a correct solution, or at least what's wrong and why. | ||
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===== Applied Math ===== | ===== Applied Math ===== | ||
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+ | Here is a condensed set of notes which should help cover the first two-thirds of the exam, submitted by Greg DePaul: | ||
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+ | [[https://github.com/gdepaul/Prelim-Resources/blob/main/Applied%20Prelim%20Study%20Guide.pdf]] | ||
Spring 2020 through ~Spring 2015, by Kayden Mimmack, Qianhui Wan, and Jorge Arroyo: | Spring 2020 through ~Spring 2015, by Kayden Mimmack, Qianhui Wan, and Jorge Arroyo: | ||
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* {{::ggams013.pdf|Spring 2013}} | * {{::ggams013.pdf|Spring 2013}} | ||
* {{::ggamf012.pdf|Fall 2012}} | * {{::ggamf012.pdf|Fall 2012}} | ||
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+ | Also Greg DePaul developed a useful tool for visualizing 1D, 2D, and 3D dynamical systems using MATLAB and the SYMS library. You need to have a departmental license installation of MATLAB to run (or your own copy of SYMS): | ||
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+ | [[https://github.com/gdepaul/Dynamical-Systems-Playdoh]] | ||
===== Algebra ===== | ===== Algebra ===== | ||
- | Solutions for the Algebra exam have not been compiled. | + | We have a list of notes which should help those give an idea as to the content which can be seen on the exam, typed by Greg DePaul: |
+ | |||
+ | [[https://github.com/gdepaul/Prelim-Resources/blob/main/250A%20Notes.pdf]] | ||
+ | [[https://github.com/gdepaul/Prelim-Resources/blob/main/250B%20Notes.pdf]] | ||
+ | [[https://github.com/gdepaul/Prelim-Resources/blob/main/250C%20Notes.pdf]] | ||
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+ | //Note:// the prelim exam sometimes includes Representation Theory; Homological Algebra is not included in the Algebra Prelim Syllabus | ||
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+ | Matt Litmam, Wencin Poh, and a mysterious El Tigre have also worked together to provide solutions for past Algebra Prelims: | ||
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+ | [[https://github.com/gdepaul/Prelim-Resources/blob/main/APS.pdf]] | ||
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+ | ===== Topology ===== | ||
+ | Material is in the process of being developed. Will be updated (relatively) soon. |