For the Ph.D. in mathematics, 48 credits (usually 16 3 credit courses) in an approved program of course work are required, normally including the following core courses :

• 16:640:501,502 Theory of Functions of a Real Variable,
• 16:640:503 Theory of Functions of a Complex Variable, and
• 16:640:551,552 Abstract Algebra.
  

The program of courses should be chosen to provide the student with both breadth and depth in mathematics and/or its applications. The courses 16:642:527-528 (Methods of Applied Mathematics), 16:642:550 (Linear Algebra and Applications), and 640:642:593 (Mathematical Foundations for Industrial and Systems Engineering) are ordinarily not approved for the Ph.D. program in mathematics.

Requests for transfer credit for courses taken at other universities are handled on a case-by-case basis, according to the rules of the department and the university.