Master Sciences in

Ph. D. in

Pure Mathematics Program

The Department of Mathematical Sciences has a lively research group in the areas of complex and harmonic analysis, topology, category theory, abstract algebra, differential geometry and logic, leading to a Master degree in Science, M.S. Coursework and requirements are primarily aimed at preparing students for careers in research and teaching at the college level. Applicants should have an undergraduate degree in Mathematics or its equivalent. Candidates are expected to have approved undergraduate courses in Linear Algebra, Algebraic Structures, basic Topology and Advanced Calculus. In addition to the requirements of the Office of Graduate Studies, the Master of Science degree in Pure Mathematics, has three options of study, thesis (Plan I), project (Plan II), and thesis or project (Plan III)

Plan 1

9 credits in core courses

Course Code Course Name
MATE 6201 Abstract Algebra
MATE 6261 Real Analysis I
MATE 6540 Topology

9 credits from the following (area of specialization)

Course Code Course Name
MATE 5049 Calculus of Variations
MATE 5055 Vector Analysis
MATE 5056 Tensor Analysis
MATE 5150 Linear Algebra
MATE 6202 Abstract Algebra II
MATE 6262 Real Analysis II
MATE 6301 Complex Variable
MATE 6530 Differential Geometry I
MATE 6531 Differential Geometry II
MATE 6551 Algebraic Topology
MATE 6670 Differential Manifolds
MATE 6627 Topics in Analysis I
MATE 6628 Topics in Analysis II
MATE 6631 Topics in Mathematical Logic
MATE 6693 Topics in Algebra I
MATE 6694 Topics in Algebra II
MATE 6993 Topics in Differential Geometry I
MATE 6994 Topics in Differential Geometry II

6 credits outside the area of specialization or major

The requirement of a minimum of two out-of-discipline courses is to ensure cross-disciplinary breadth. The courses must be related to mathematics and should be chosen in a coherent way. These should be of level 5000 or higher. It is recommended that student choose these courses with the help of their advisor.

6000 or 5000 level courses not listed in the area of specialization.
6000 or 5000 level courses outside the math department.

2 credits in Seminar

Course Code Course Name
MATE 6991 Seminar I
MATE 6992 Seminar II

6 credits in Thesis

Course Code Course Name
MATE 6999 Thesis

Plan 2

Project option: the course and examination requirements are similar to Option I, however the 6 Thesis credits must be replaced by 6 Project credits. An oral examination on the project is also required.

Plan 3

No project, no thesis: the student should approve a minimum of 36 course credits:

  • A minimum of 27 credits at graduate level.
  • A minimum of 21 credits in the major field.
  • A minimum of 6 credits in courses related to, but outside the area of specialization.