Courses marked with an asterisk (*) are one-term courses. Courses marked with a plus sign (+) may differ in content from year to year and may be taken a second time for credit. Note that only a selection of these courses will be offered each year.

Courses in cognate subjects may also be taken for graduate credit in Mathematics. Students interested in Mathematical Statistics should consult the Statistics course listing elsewhere in this calendar. Students interested in Computational Mathematics should consult the Computational Engineering and Science course listing elsewhere in this calendar. Students interested in Computer Science should consult the Computing and Software course listing elsewhere in this calendar.

The following courses, which are available to senior undergraduate students as 400-level, are offered for graduate credit. Graduate students in 600-level courses will be required to do extra work in addition to that required of undergraduate students in the corresponding 400-level course (such as extra reading, problems, written or oral presentations) as prescribed by the instructor.

The following 700-level courses are offered for graduate credit. Among these, the core sequences in Algebra 701/702, Analysis 731/722 (alternated with 723), Applied Mathematics 741/742, and Geometry/Topology 761/762 will normally be offered every year. The remaining courses may be offered less frequently, depending on student demand.