# Graduation Requirements for Mathematics M.S.

Complete a minimum of 40 credit hours as follows:

## Hours Requirements for All Track

All courses must be passed with at least a C grade. Cumulative GPA must be at least 3.00 for degree conferral.

If a required course is equivalent to one that a student took elsewhere, they may substitute any course for which the required course is a (direct or indirect) prerequisite.

A maximum of 8 credits may be from non-regular courses such as thesis, project, or independent study, subject to approval from the Graduate Chair.

Only graded coursework counts toward the minimum hours requirement.

Mathematics courses cross-listed with undergraduate courses numbered under 4000 will not count toward the minimum credit requirement.

The following courses do not count toward the minimum hour requirement:

- MATH 5000 - History of Mathematics
- MATH 5070 - Introduction to Number Theory
- MATH 5100 - Teaching of Mathematics in Secondary School
- MATH 5100L - Teaching of Mathematics in Secondary School Early Field Experience
- MATH 5110 - College Geometry
- MATH 5120 - College Mathematics Teaching for New Teaching Assistants
- MATH 5200 - Applied Linear Algebra
- MATH 5210 - Linear Algebra
- MATH 5320 - Vector Analysis

## Doctoral Preparation Track (MS3101)

All courses taken for the Doctoral Preparation Track must be MATH courses. Complete the core courses in at least two of the Doctoral Examination Fields.

### Doctoral Examination Field Core Courses

#### ALGEBRA

- MATH 6221 - Algebra I
- MATH 6222 - Algebra

#### TOPOLOGY

- MATH 6700 - Point Set Topology
- MATH 6710 - Algebraic Topology

#### DIFFERENTIAL EQUATIONS

- MATH 6411 - Partial Differential Equations I
- MATH 6412 - Partial Differential Equations II

#### STATISTICS

- MATH 6500 - Mathematical Statistics
- MATH 6510 - Linear Models

#### ANALYSIS

- MATH 6301 - Analysis I
- MATH 6302 - Analysis II

## Applied Track (MS3101)

The following are required:

- A minimum of 32 hours in MATH. The remaining hours may be from another department where mathematics is applied.
- At least three mathematics courses above 5999 are required.
- MATH 5600 - Introduction to Numerical Analysis

#### Applied Mathematics Electives

Complete at least two of the following courses:

- MATH 5410 - Fourier Analysis and Partial Differential Equations
- MATH 5470 - Applied Dynamical Systems
- MATH 5530 - Statistical Computing
- MATH 5550 - Basic Principles of Actuarial Science
- MATH 5560 - Life Contingencies
- MATH 5610 - Introduction to Waves and Wavelets with Applications
- MATH 6520 - Experimental Design
- MATH 6530 - Time Series Analysis
- MATH 6640 - Numerical Analysis: Linear Algebra
- MATH 6650 - Numerical Analysis: Approximation Methods
- MATH 6660 - Numerical Analysis: Differential Equations

## Computational Track

The following are required:

- A minimum of 20 hours in mathematics.
- A minimum of 15 hours in computer science.
- MATH 5600 - Introduction to Numerical Analysis
- CS 5040 - Design and Analysis of Algorithms
- CS 5060 - Computation Theory
- CS 5420 - Operating Systems

#### Computational Track Electives

Complete at least two of the following courses:

- MATH 5530 - Statistical Computing
- MATH 5610 - Introduction to Waves and Wavelets with Applications
- MATH 5620 - Linear and Nonlinear Optimization
- MATH 5630 - Discrete Modeling and Optimization
- MATH 6640 - Numerical Analysis: Linear Algebra
- MATH 6650 - Numerical Analysis: Approximation Methods
- MATH 6660 - Numerical Analysis: Differential Equations

## General Track (MS3101)

All courses taken for the general track must be MATH courses. Students must complete a fourth MATH course numbered above 5999, in addition to the 3 taken to fulfill the requirements for all tracks.

## Culminating Experience

All tracks require students to successfully complete at least three courses (min. 3 hours each) numbered above 5999 as a capstone experience. Students in MS3101 will complete this requirement with three MATH courses. Computational Track students may count courses from computer science and mathematics, with at least one from each of those fields. These courses are at the doctoral level, and require students to synthesize and apply knowledge gained through preparatory coursework.

In addition, students have the option to complete a thesis or project as part of their work.