prelim_solns
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prelim_solns [2022/05/10 08:11] gdepaul |
prelim_solns [2023/07/20 03:43] (current) gdepaul [Solutions to Prelim Exams (Updated 23 September 2021)] |
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| - | ====== Solutions to Prelim Exams (Updated 23 September 2021) ====== | + | ====== Solutions to Prelim Exams (Updated 20 July 2023) ====== |
| 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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| + | The department posts previous exams on [[https://www.math.ucdavis.edu/grad/exam-prep|this page]] | ||
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| ===== Analysis ===== | ===== Analysis ===== | ||
| Greg DePaul put together [[https://github.com/gdepaul/Prelim-Resources/blob/main/Analysis%20Notes.pdf | these excellent notes]] on the the material covered on the exam | Greg DePaul put together [[https://github.com/gdepaul/Prelim-Resources/blob/main/Analysis%20Notes.pdf | these excellent notes]] on the the material covered on the exam | ||
| - | |||
| - | The department posts previous exams on [[https://www.math.ucdavis.edu/grad/exam-prep|this page]] | ||
| Kyle Chickering has combined many of the previous exams (2009-2019) into {{ :analysis_prelims_2009_to_2019.pdf |a single file}} | Kyle Chickering has combined many of the previous exams (2009-2019) into {{ :analysis_prelims_2009_to_2019.pdf |a single file}} | ||
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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: | Here is a condensed set of notes which should help cover the first two-thirds of the exam, submitted by Greg DePaul: | ||
| - | [[https://github.com/gdepaul/Prelim-Resources/blob/main/Applied%20Prelim%20Study%20Guide.pdf]] | + | [[https://github.com/gdepaul/Prelim-Resources/blob/main/Applied%20Prelim%20Study%20Guide.pdf | Applied Notes]] |
| 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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| 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): | 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): | ||
| - | [[https://github.com/gdepaul/Dynamical-Systems-Playdoh]] | + | [[https://github.com/gdepaul/Dynamical-Systems-Playdoh | Dynamical Systems Matlab Code]] |
| ===== Algebra ===== | ===== Algebra ===== | ||
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| 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: | 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/250A%20Notes.pdf | 250A Notes]] |
| - | [[https://github.com/gdepaul/Prelim-Resources/blob/main/250B%20Notes.pdf]] | + | * [[https://github.com/gdepaul/Prelim-Resources/blob/main/250B%20Notes.pdf | 250B Notes]] |
| - | [[https://github.com/gdepaul/Prelim-Resources/blob/main/250C%20Notes.pdf]] | + | * [[https://github.com/gdepaul/Prelim-Resources/blob/main/250C%20Notes.pdf | 250C Notes]] |
| //Note:// the prelim exam sometimes includes Representation Theory; Homological Algebra is not included in the Algebra Prelim Syllabus | //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: | Matt Litmam, Wencin Poh, and a mysterious El Tigre have also worked together to provide solutions for past Algebra Prelims: | ||
| - | [[https://github.com/gdepaul/Prelim-Resources/blob/main/APS.pdf]] | + | [[https://github.com/gdepaul/Prelim-Resources/blob/main/APS.pdf | Algebra Prelim Solutions]] |
| ===== Topology ===== | ===== Topology ===== | ||
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| ===== Problem Books in Math ===== | ===== Problem Books in Math ===== | ||
| - | Some students find it useful to work through batteries of problems in order to prepare for examinations. Here are some problem books curated by subject. Hope people find these as useful as I did. | + | Some students find it useful to work through batteries of problems with solutions in order to prepare for examinations. Here are some problem books curated by subject. Hope people find these as useful as I did. |
| [[https://drive.google.com/drive/folders/1HYUoDr6uFiWuCf7kRPCR1TuCb0hXPyxj?usp=sharing| Problem Books]] | [[https://drive.google.com/drive/folders/1HYUoDr6uFiWuCf7kRPCR1TuCb0hXPyxj?usp=sharing| Problem Books]] | ||
| + | |||
| + | //Note:// you need to be logged into your ucdavis email to access these resources. | ||
prelim_solns.1652195508.txt.gz · Last modified: 2022/05/10 08:11 by gdepaul
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