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--- prelim_solns [2021/09/24 06:27] – [Algebra] gdepaul
+++ prelim_solns [2026/09/12 04:01] (current) – removed lnor
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-====== 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.
-===== Analysis =====
-Notes which should help estimate the material covered on the exam (Submitted by Greg DePaul):
-[[https://github.com/gdepaul/Prelim-Resources/blob/main/Analysis%20Notes.pdf]]
-Past Exams
-  * {{::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:
-{{::prelim_solutions.pdf|Prelim Solutions}}
-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]]
-===== Applied Math =====
-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]]
-Spring 2020 through ~Spring 2015, by Kayden Mimmack, Qianhui Wan, and Jorge Arroyo:
-  * [[https://mimmackk.github.io/ggam-prelim/solutions.pdf|PDF]]
-  * [[https://github.com/mimmackk/ggam-prelim|TeX Source]]
-The following is a collection of solutions written and compiled by David Haley.  Most of the solutions are complete, although the work is very rough and lacks some detail.
-  * {{::ggamf015.pdf|Fall 2015}}
-  * {{::ggams015.pdf|Spring 2015}}
-  * {{::ggamf014.pdf|Fall 2014}}
-  * {{::ggams014.pdf|Spring 2014}}
-  * {{::ggamf013.pdf|Fall 2013}}
-  * {{::ggams013.pdf|Spring 2013}}
-  * {{::ggamf012.pdf|Fall 2012}}
-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]]
-===== Algebra =====
-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]](Note: the prelim exam sometimes includes Representation Theory; Homological Algebra is not included in the Algebra Prelim Syllabus)
-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]]
-===== Topology =====
-Material is in the process of being developed. Will be updated (relatively) soon.