Get Ready for Math Grad School!

The goal of this course is to help people who have an undergraduate degree in Mathematics, who have been out of college for a while, and who now are interested in going to graduate school in Mathematics. They might be interested in getting some type of graduate certificate or their masters degree.

This course does not count for graduate or undergraduate credit. It may count as development credits for in service public school teachers. Check with your school to find out.

The course is divided into three units. In each the student is given a list of review material and problems. The idea is not that being able to do these specific problems will give you all you need to know to start taking graduate mathematics courses, but rather that if you demonstrate that you have the motivation and persistence to relearn what is needed to do these problems, you should be able to relearn whatever it takes to get through your first few graduate courses.

The three units do not have to be done in order and you may well wish to work through them simultaneously. Some supplemental "handouts" are listed as well.

UNITS

1. Calculus

   • Calculus I Summary

2. Algebra

   • Sets and Functions
   • Algebraic Systems
   • Vector Spaces

3. Real Analysis

   • Properties of the Real Numbers
   • The Mathematical Shape of Modernity, by Paula E. Findlen, Chronicle of Higher Education, June 23, 2014. (Can only be viewed on a University computer or with a subscription.)

Copyright, Michael C. Sullivan, 2017