prelim_solns
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prelim_solns [2021/09/23 23:27] gdepaul [Algebra] |
prelim_solns [2023/07/20 03:42] gdepaul [Analysis] |
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| ===== Analysis ===== | ===== Analysis ===== | ||
| - | Notes which should help estimate the material covered on the exam (Submitted by Greg DePaul): | + | 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 |
| - | [[https://github.com/gdepaul/Prelim-Resources/blob/main/Analysis%20Notes.pdf]] | + | Kyle Chickering has combined many of the previous exams (2009-2019) into {{ :analysis_prelims_2009_to_2019.pdf |a single file}} |
| - | Past Exams | + | Jeff Anderson led a project in 2011 to compile solutions to most of the previous exams. {{::preliminarysolutions.pdf| This file}} contains those solutions as well as some tips and references. |
| - | + | ||
| - | * {{::anwi06.pdf|Winter 2006}} | + | |
| - | * {{::anfa04.pdf|Fall 2004}} | + | |
| - | * {{::anwi04.pdf|Winter 2004}} | + | |
| - | * {{::anfa03.pdf|Fall 2003}} | + | |
| - | * {{::anwi03.pdf|Winter 2003}} | + | |
| - | + | ||
| - | Below is a partial list of solutions compiled by Jeff Anderson. It is as complete as the graduate students could make it, but some gaps exist. | + | |
| - | + | ||
| - | {{::preliminarysolutions.pdf|Prelim Exam Solutions}} | + | |
| Here are some preliminary exam solutions by Jeff Irion and Ryan Halabi: | Here are some preliminary exam solutions by Jeff Irion and Ryan Halabi: | ||
| {{::prelim_solutions.pdf|Prelim Solutions}} | {{::prelim_solutions.pdf|Prelim Solutions}} | ||
| + | |||
| + | Kyle Chickering posted solutions to various exams given between 2012 and 2020: | ||
| + | |||
| + | {{ ::krc_analysis_prelim_solutions.pdf | Analysis Prelim Solutions}} | ||
| Greg DePaul also helped develop printable flashcards in order to prepare for the exam: | Greg DePaul also helped develop printable flashcards in order to prepare for the exam: | ||
| - | [[https://github.com/gdepaul/Prelim-Resources/blob/main/analysis_flashcards.pdf]] | + | [[https://github.com/gdepaul/Prelim-Resources/blob/main/analysis_flashcards.pdf | Greg DePaul's Analysis Flashcards]] |
| Line 33: | Line 27: | ||
| 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: | ||
| Line 52: | Line 46: | ||
| 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 ===== | ||
| Line 58: | Line 52: | ||
| 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 ===== | ||
| - | Material is in the process of being developed. Will be updated (relatively) soon. | + | Material is in the process of being developed. Here are some notes from courses students have taken: |
| + | * [[https://github.com/gdepaul/Prelim-Resources/blob/main/Topology.pdf|Math 215A]] | ||
| + | |||
| + | ===== Problem Books in Math ===== | ||
| + | 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]] | ||
| + | |||
| + | //Note:// you need to be logged into your ucdavis email to access these resources. | ||
prelim_solns.txt · Last modified: 2023/07/20 03:43 by gdepaul
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