Each study guide lists topics that a student should know for the corresponding examination. An attempt has been made to put these topics in coherent order and to provide useful references. The study guides are not intended as syllabi for the corresponding graduate courses. For each of the subject areas, an introductory one-semester 8000-level course is designed to help prepare students for the qualifying exam. However, certain background material may be assumed in the 8000-level course, and the course might omit some of the topics in the study guide and include topics not appearing in the study guide. Thus, it is the student's responsibility to prepare adequately for a written qualifying exam by mastering the topics on the study guide.

Written qualifying exams are offered in Algebra, Complex Analysis, Numerical Analysis, Probability, Real Analysis, and Topology. All the exams are three hours in length. The written qualifying exams are offered every year in August before the start of fall semester classes, and in January before the start of spring semester classes.

## STUDY GUIDES:

## Past qualifying exams:

- Algebra
- Complex Analysis Exams
- Numerical Analysis Exams
- Probability Exams
- Real Analysis Exams
- Topology Exams
- Analysis (when Real and Complex Analysis were one exam)

Last revised October, 2022