Below you may find solutions to previous numerical qualifiers, for recent semesters specifically not readily available elsewhere.

Special thanks to Dr. Jean-Luc Guermond, Dr. Bojan Popov, and Jordan Hoffart for their help with these problems.

You may find solutions to earlier exams provided by Bennett Clayton here.

Disclaimer: While I have formatted and checked these solutions, mistakes may persist.
Qualifying exams often have typos, and I have tried to note where I have altered the problem statement where typos occurred.
Despite this, if you find any errors, please send me an email so I may fix them and credit you.

August 2022, test version (not finalized).