The Mathematics Department is involved with three programs of graduate study. In addition to the Mathematics graduate program (MATH), the Department offers a program in Mathematical Statistics (STAT) and significantly participates in an interdisciplinary program in Applied Mathematics & Statistics, and Scientific Computation (AMSC).
The Mathematics Department offers a program of graduate study in mathematics which is rich and varied. Through course work and the writing of a thesis, the student is prepared for a career in teaching and research in the mathematical sciences and their applications. Graduate Students in any one of these programs can take courses in all three, and it is relatively simple for a student to transfer from one program to another.
Graduate Studies also play an important role in the research and teaching activities of the Department. The full-time graduate student enrollment in all three degree programs is approximately 230, of which one third are women, and one third are foreign, coming from all over the world. Many part-time students with professional positions in the local area are also enrolled.
Course offerings in the Department of Mathematics are organized into general fields: Algebra and Number Theory, Complex Analysis, Logic, Numerical Analysis, Ordinary Differential Equations and Dynamical Systems, Partial Differential Equations, Real and Functional Analysis, Statistics, Probability, and Topology and Geometry. First-year graduate courses are taught every year in each field with an average enrollment of 15-25 students. In these courses the student acquires the basic techniques necessary for research in mathematics and for work in applied areas. In addition, many advanced courses are given on specialized topics which introduce the student to areas of active research. Because of the large number of faculty members, about twenty advanced graduate courses are offered each semester. A list of faculty research interests can be seen here.
The department offers a wide range of advanced undergraduate courses which provide an introduction to many areas of mathematics including geometry, probability, topology, numerical analysis, logic, and differential equations.
Degree requirements for the three programs are similar. The student studying for the Ph.D. must first take a set of written qualifying examinations over material from basic first year graduate courses. After successfully passing these examinations at the Ph.D. level, the student takes more advanced courses in a particular area to start preparing for thesis work. A total of 36 credits (12 one semester courses) is needed for the Ph.D. degree. Admission to candidacy for the Ph.D. is granted when the student passes an oral examination over the more advanced course work (or some research papers). The dissertation is then written under the direction of a member of the faculty. The final thesis defense is an oral examination by a committee of faculty members. In addition, there are foreign language requirements which vary somewhat from one program to another.
Expectations of Doctoral Students and Faculty are included in the Policies of the Graduate Program in Mathematics.
The M.A degree is granted to students who take 24 credits of course work and write a master's thesis. The non-thesis option for the M.A. requires the student to take 30 credits of course work and to pass the written qualifying examinations at the master's level.