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Pure Mathematics

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. Under the first option the student takes courses in order to prepare for examinations over these core areas. The second option requires the student to successfully complete more advanced courses in lieu of the exams.


Specific Courses


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 or Math 5283)

Courses taken as an undergraduate can be used to satisfy the above requirements. If this is done the Master's degree program can be more flexible.

Option II:
Students interested in pursuing a doctoral degree have the option of replacing the above courses with three of the following sequences:
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, Math 6323)
4.
Algebra I & II (Math 5613, Math 5623)


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 mathematics, statistics, or computer science courses numbered 5000 or above. (Math 4613, Math 4143 and Math 4153 are counted as 5000 level 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. 


Comprehensive Examination


A Master's degree student must pass a comprehensive written examination  on Advanced Calculus, Modern Algebra, and General Topology. If a student chooses Option II above and if grades  of B or better are received in all three of the sequences selected, then the student will be exempted from the Master's Comprehensive Exam.


Creative Component, Report, or Thesis


Each student must complete either a creative component, report, or 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.


next up previous contents index
Next: General Requirements, Regulations and Up: Departmental Requirements for Master Previous: Applied Mathematics
graddir
2000-05-08