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Pure Mathematics (M.S.) [for students entering before Fall 2009]

The Master of Science Degree in Pure Mathematics requires that the student demonstrate knowledge in certain core areas. There are two options for doing this. Both options require a student to earn a grade of A or B in a prescribed 18 hours of core courses.

Core Courses:

Option I:

  1. Advanced Calculus I and II (Math 5043 and 5053)
  2. Modern Algebra I and II (Math 5003 and 5013)
  3. General Topology (Math 5303)
  4. Complex Variables (Math 4283)

Option II:

  1. Real Analysis I and II (Math 5143 and 5153)
  2. Complex Analysis I and II (Math 5283 and 5293)
  3. Geometric Topology (Math 5313) and Algebraic Topology I (Math 6323)
  4. Algebra I and II (Math 5613 and 5623)

Courses taken as an undergraduate can be used to satisfy the above requirements as long as they are consistent with the Graduate College requirements. Any of the courses in Option I may be replaced by the corresponding higher level course in Option II which has it as a prerequisite; e.g., Math 5043 (Advanced Calculus I) may be replaced by Math 5143 (Real Analysis I).

Courses Taken in Graduate School:

The courses taken in graduate school must total at least 32 hours, which may include two hours credit for a Master's report. If a student elects to write a thesis, the minimum number of hours is reduced to 30. The courses taken on the Master's degree program must include at least 21 hours of courses numbered 5000 or above, of which 20 hours must be from mathematics, statistics or computer science courses. No more than 6 hours outside the mathematical sciences (mathematics, statistics and computer science) will count towards the Master's degree. All the courses on the Master's degree program must constitute a coherent whole and must be approved by the student's advisory committee.

Creative Component, Report, or Thesis:

Each student must complete either a creative component, a report, or a thesis. Under any of these three options, a written document and a public presentation based on this individually directed project is required.

Other Requirements:

The University catalog contains detailed procedures and requirements applicable to all Master's degrees.