Ph.D. Previous Preliminary Examination Exercises with solutions.

🚀 We rise by lifting others. 🚀

Here are the files, I hope they help your studying. I’ve been asked by department management to remove the questions for these exercises; consequently you may find the files in part or as a whole unusable. Any suggestions for edits, typographical mistakes found, comments or suggestions please email me at the contact information found below. Best wishes!

José Luis Pabón
Math PhD student

Math Puerto Rican Boricua