Differences

This shows you the differences between two versions of the page.

--- prelim_solns [2022/01/03 03:35] – [Topology] gdepaul
+++ prelim_solns [2026/09/12 04:01] (current) – removed lnor
@@ Line 1: / Line 1: @@
-====== 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 =====
-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}}
-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.
-Here are some preliminary exam solutions by Jeff Irion and Ryan Halabi:
-{{::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:
-[[https://github.com/gdepaul/Prelim-Resources/blob/main/analysis_flashcards.pdf | Greg DePaul's Analysis Flashcards]]
-===== 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. Here are some notes from courses students have taken:
-  * [[https://github.com/gdepaul/Prelim-Resources/blob/main/Topology.pdf|Math 215A]]