Master of Science in Mathematics

The School of Mathematics provides opportunities for study in a wide range of mathematical disciplines. First-year graduate sequences include algebra, analysis, differential equations, geometry, numerical analysis, probability, quantitative finance, statistics, and topology in addition to courses in methods of applied mathematics.

MS Mathematics Information

A program of study leading to a master's degree in mathematics consists of 30 credit hours and must include at least twelve credit hours at the 6000 level or above in mathematics, with courses in at least three different fields of Mathematics, as follows.

Students must maintain an overall grade-point average of at least 2.7 and receive a grade of C or better in each mathematics course in the program of study.

Non-thesis Option

All courses required by number for the Bachelor of Science in Applied Mathematics or Discrete Mathematics do not carry degree credit for graduate mathematics majors, and may not be used to fulfill these degree requirements including:

MATH 6701Math Methods of Applied Sciences I3
MATH 6702Math Methods of Applied Sciences II3
MATH 3012Applied Combinatorics3
MATH 3215Introduction to Probability and Statistics3
MATH 4107Introduction to Abstract Algebra I3
MATH 4317Analysis I3
MATH 4318Analysis II3
MATH 4320Complex Analysis3
MATH 4640Scientific Computing I,Numerical Analysis I3
Analysis Concentration
Select at least two of the following: 1,26
Functions of a Complex Variable I
Real Analysis I
Real Analysis II
Introduction to Hilbert Spaces
Operator Theory
Harmonic Analysis
Functional Analysis
Areas
Select at least one class in two areas. 26
Non-Thesis Option
MATH 6000-level or higher 26
6000-level or higher Free Electives12
Total Credit Hours30
1

One of these two classes must be MATH 6337 or MATH 6338

2

Minimum grade of B or better required.

Thesis Option

All courses required by number for the Bachelor of Science in Applied Mathematics or Discrete Mathematics do not carry degree credit for graduate mathematics majors, and may not be used to fulfill these degree requirements including:

MATH 6701Math Methods of Applied Sciences I3
MATH 6702Math Methods of Applied Sciences II3
MATH 3012Applied Combinatorics3
MATH 3215Introduction to Probability and Statistics3
MATH 4107Introduction to Abstract Algebra I3
MATH 4317Analysis I3
MATH 4318Analysis II3
MATH 4320Complex Analysis3
MATH 4640Scientific Computing I,Numerical Analysis I3
Analysis Concentration
Select at least two of the following: 1,26
Functions of a Complex Variable I
Real Analysis I
Real Analysis II
Introduction to Hilbert Spaces
Operator Theory
Harmonic Analysis
Functional Analysis
Areas
Select at least one class in two areas. 26
Thesis
MATH 9000Doctoral Thesis9
Additional 4000-level or higher Coursework9
Total Credit Hours30
1

One of these two classes must be MATH 6337 or MATH 6338

2

Minimum grade of B or better required.

 Discrete Mathematics and Algebra

MATH 6014Graph Theory and Combinatorial Structures3
MATH 6121Modern Abstract Algebra I3
MATH 6122Modern Abstract Algebra II3
MATH 7016Combinatorics3
MATH 7018Probabilistic Methods in Combinatorics3

 Geometry and Topology

MATH 6441Algebraic Topology I3
MATH 6442Algebraic Topology II3
MATH 6455Differential Geometry I3
MATH 6456Differential Geometry II3
MATH 6457Geometry and Topology I3
MATH 6458Introduction to Geometry and Topology II3

Differential Equations

MATH 6307Ordinary Differential Equations I3
MATH 6308Ordinary Differential Equations II3
MATH 6341Partial Differential Equations I3
MATH 6342Partial Differential Equations II3

Probability and Mathematical Statistics

MATH 6241Probability I3
MATH 6242Probability II3
MATH 7244Stochastic Processes and Stochastic Calculus I3
MATH 7245Stochastic Processes and Stochastic Calculus II3
MATH 6262Advanced Statistical Inference I3
MATH 6263Advanced Statistical Inference II3
MATH 6266Linear Statistical Models3
MATH 6267Multivariate Statistical Analysis3

Numerical Analysis

MATH 6640Applied Computational Methods for Partial Differential Equations3
MATH 6643Numerical Linear Algebra3
MATH 6644Iterative Methods for Systems of Equations3
MATH 6645Numerical Approximation Theory3
MATH 6646Numerical Methods for Ordinary Differential Equations3