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.

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

• Winter 2006
• Fall 2004
• Winter 2004
• Fall 2003
• 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.

Prelim Exam Solutions

Here are some preliminary exam solutions by Jeff Irion and Ryan Halabi:

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

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:

• PDF
• 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.

• Fall 2015
• Spring 2015
• Fall 2014
• Spring 2014
• Fall 2013
• Spring 2013
• 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

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

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