Curriculum for Pure Mathematics (M.S.)
The masters programs in mathematical sciences are flexible enough to accommodate students with diversified background training. In consultation with the Graduate Committee, each student develops a course of study in mathematics areas most relevant to his or her professional and career objectives. Each student must take 15 credit hours of required courses, and complete an additional 18 hours either in the Thesis Option or the NonThesis Option.
Required Courses
All of these five courses:
Course No.

Course Name

Credits

MTSC500

Foundations of Mathematics

3 Hours

MTSC511

Introduction to Abstract Algebra

3 Hours

MTSC561

Real Analysis I

3 Hours

MTSC562

Real Analysis II

3 Hours

MTSC571

Complex Analysis

3 Hours

Select one of the following two courses:
Course No.

Course Name

Credits

MTSC541

Advanced Probability Theory

3 Hours

MTSC521

General Topology

3 Hours

Total: 18 Hours
THESIS OPTION: Pure Mathematics
1. Electives of 6 credit hours from the Pure Mathematics Courses:
Course No.

Course Name

Credits

MTSC525

Logic

3 Hours

MTSC531

Number Theory

3 Hours

MTSC621

Introduction to Functional Analysis

3 Hours

MTSC504

Modern Geometry

3 Hours

MTSC611

Topics in Pure Mathematics

3 Hours

2. MTSC699 Thesis (6 Hours)
3. Electives from Pure Mathematics and/or applied Mathematics and/or Other Graduate level courses with the approval of the student’s advisor. (3 Hours)
Total: 15 Hours
The students who select thesis option must defend their thesis before the Department Graduate Committee. A student must complete a sixhour research thesis.
NONTHESIS OPTION
The student who selects either one of the following nonthesis options must pass a written examination within two attempts.
This written examination is administered in February. A student must pass the written exam by the beginning of his/her 6^{th} semester of study. A second and final attempt is permitted in the following August. In this examination a student must choose 2 topics from Algebra, Analysis, and Applied Mathematics. The exam is based on both 25561 for Analysis, 25511 for Algebra, and (or) 25651 and 25643 for Applied Mathematics. Another topic, such as Ordinary Differential Equations, Partial Differential Equations, or Statistics, may be substituted for one of the above by petition to the graduate committee based on two graduate level courses and supported by a faculty member.
Pure Mathematics
1. Electives from the Pure Mathematics Courses (9 Hours)
2. Electives from Pure Mathematics and/or Applied Mathematics and/or Graduate level courses with the approval of the student’s advisor. (6 Hours)
Total: 15 Hours