Graduate Catalog 1993-1994
College of Arts and Science
Department of Mathematical Sciences
Mathematics Program
Requirements for the Master's Degree

A master's degree candidate must choose one of the following programs:

    I. Master's with thesis;
   II. Master's without thesis.

Graduate students are encouraged to choose wisely between the two
options.

The course requirements for the degree are:
   (1) A Master's degree candidate must complete 30 hours of course
      work with MATH 600, MATH 602, MATH 650, MATH 672, MATH 805,
      MATH 807, and either MATH 827 or MATH 845 required. Of these,
      it is recommended that students with proper preparation satisfy
      the first four by examination and substitute more advanced
      courses to satisfy the 30 hour requirement.

In addition to these basic courses, a candidate must complete:
   (2) Two two-course sequences, at least one of which must be at the
      800 level. Suggested sequences are:
      (a) Ordinary and Partial Differential Equations: MATH 609-MATH 610.
      (b) Introduction to Scientific Computing: MATH 611-MATH 612.
      (c) Introduction to Applied Mathematics: MATH 616-MATH 617.
      (d) Probability Theory and Stochastic Processes: MATH 630-MATH 631.
      (e) Combinatorics and Graph Theory: MATH 688-MATH 689.
      (f) Analysis I and 11: MATH 805-MATH 806.
      (g) Complex Analysis I and II: MATH 807-MATH 808.
      (h) General Topology I and II: MATH 827-MATH 828.
      (i) Group Theory and Field Theory: MATH 845-MATH 846.

   Those students electing option I may substitute three hours of
thesis work for the completion of one of the required sequences, the
remaining three hours of thesis work being used to complete the 30
hour requirement. If a student elects a master's degree with thesis,
he must successfully defend his thesis before a committee of three
faculty members including his thesis advisor. A student choosing
option II must enroll for 4 hours of MATH 697 (Thematic Seminar).