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prelim_solns [2023/07/20 03:37] gdepaul [Problem Books in Math] |
prelim_solns [2023/07/20 03:43] 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]] | ||
+ | |||
===== 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 | ||
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- | 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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[[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. | + | //Note:// you need to be logged into your ucdavis email to access these resources. |