Master of Science (M.S.) in Mathematics
Departmental Requirements
(Pure Mathematics)
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Pure Mathematics (M.S.)
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.
Core Courses
All candidates for the M.S. Degree in Pure Mathematics must complete a prescribed 18 hours of core courses and earn a grade of A or B in each course from Option I below or have a GPA of 3.0 from the courses in Option II below.
Option I:
1. Advanced Calculus I and II (Math 4143 and 4153)
2. Modern Algebra I and II (Math 4613 and 5013)
3. General Topology (Math 5303)
4. Complex Variables (Math 4283)
Option II:
1. Real Analysis I & II (Math 5143, Math 5153)
2. Complex Analysis I & II (Math 5283, Math 5293)
3. Geometric Topology & Algebraic Topology (Math 5313,Math6323)
4. Algebra I & II (Math 5613, Math 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 4143 (Advanced Calculus I) may be replaced by Math 5143 (Real Analysis I), etc.
Sample Plans of Study are provided below.
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 of which 6 are thesis credit. 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. (Math 4613, Math 4143 and Math 4153 are counted as 5000 level courses for this purpose.) 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.