Every year, the department offers introductory courses in Algebraic Topology (Math 544), Modern Algebra (Math 5000/5010), and Measure Theory, Complex, and Functional Analysis (Math 5200, 5150, and 5250, respectively). These courses are designed to help students solidify their mathematical foundations and to prepare for their qualifying exams. Students can also attend undergraduate classes to fill in any gaps in their mathematical knowledge.
Intermediate–level courses exposit an area of mathematics and allow students to build the foundations for their research. These offerings vary from year to year and depend on student interests and faculty availability.
Starting in their first semester and continuing through their last, students also have the opportunity to take topics courses. Generally much more informal, these courses are meant to expose students to the cutting edge of research. Other faculty members also often sit in these classes. Since topics courses allow for a more thorough exploration into a field of mathematics, they can be an invaluable tool in helping students to pick a research area, and ultimately, an advisor.