# Master's Program in Mathematics

M.S. degree in Mathematics.

# Program Mission

To train students to apply and disseminate mathematical knowledge and understanding.

# Program Learning Objectives

- Graduates will be able to apply a range of mathematical tools to problems within mathematics and in other disciplines.
- Graduates will be able to effectively disseminate mathematical knowledge and understanding orally, in writing, or by other means.

# Program Overview

A principal feature of the master's program in mathematics is the possibility of designing a study plan to meet a student's individual needs and interests. A master's degree in mathematics can be used to fulfill several different goals, and the program meets this diversity of expectations in its several tracks. While the coursework varies somewhat, all tracks assure the student obtains a solid mathematical foundation and a rigorous and versatile training in analytic problem solving using mathematical tools. All tracks require at least 40 graduate credit hours and can normally be completed in two years.

Many master's students are trained and financially supported as teaching assistants and have the opportunity to teach classes as the primary instructor.

## Tracks

A master's degree in mathematics can be used to fulfill several different goals, so the program is divided into different tracks with different requirements:

Several policies should be noted for all these tracks:

- In order to count toward the credit requirements, a grade of C or better is required for those credits. In particular, courses which award a grade of CR (credit) do not count.
- Mathematics courses cross-listed with undergraduate courses numbered under 4000 do not count.
- The training course MATH 5120 College Mathematics Teaching for New Teaching Assistants does not count.
- A maximum of 8 credits may be from non-regular courses such as thesis, project, or independent study.
- The number of transfer credits is limited by university policy.
- For requirements phrased in terms of courses, a course must be at least 3 credits and a grade of at least C is required.
- 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.

University-wide policies and standards appear in the Graduate Catalog. The department additionally imposes:

- Conferral of a master's degree requires at least a B (3.0) grade point average (GPA) in those courses used to satisfy the requirements.
- A student whose GPA is below 3.0 for two consecutive semesters will be dropped from the program.

By the end of their first semester, students must complete a study plan (form) listing the courses they plan to take to fulfill the requirements in their track. Should their coursework deviate from this plan, they must submit a new study plan.

### Goal: Flexibility

The General track (MS3101) is for students requiring more flexibility than permitted by the more specific tracks. It is important for students in this track to work with their advisor to assure their course choices prepare them for their intended career path. The requirements of this track are:

- At least 40 graduate credit hours in mathematics.
- At least 4 mathematics courses above 5999.

### Goal: Doctoral Pursuit

The Doctoral Preparation track (MS3101) is for students intending to continue to a doctoral program here or at another university. The requirements of this track are:

- At least 40 graduate credit hours in mathematics.
- The core courses in two of the examination subjects in the doctoral program.

### Goal: Applications of Mathematics

The Applied track (MS3101) is for students who wish to use mathematics for careers in government or industry, or to pursue a doctoral degree in a field other than mathematics. Students develop skills in the formulation, analysis, and solution of mathematical models valuable for a variety of application areas. In addition to the specific requirements below, students are encouraged to take courses in different types of modeling (discrete, continuous, deterministic, stochastic). The requirements of this track are:

- At least 40 graduate credit hours, of which at least 30 must be in mathematics and at least 6 must be from another department where mathematics is applied.
- At least 3 mathematics courses above 5999.
- MATH 5600 Introduction to Numerical Analysis
- At least two of:
- 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

### Goal: Mathematics with Computer Science

The Computational track (MS3111) is for students who wish to use mathematics for careers in government or industry, with an emphasis on algorithms and software. The requirements of this track are:

- At least 40 graduate credit hours, of which at least 20 must be in mathematics and at least 15 must be in computer science.
- At least 3 courses above 5999 in mathematics or computer science, of which at least 1 must be in mathematics and at least 1 in computer science.
- MATH 5600 Introduction to Numerical Analysis
- At least two of:
- 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

- CS 5040 Design and Analysis of Algorithms
- CS 5060 Computation Theory
- CS 5420 Operating Systems and Computer Architecture I

### Goal: Post-Secondary Teaching

**Note: As of Fall 2014, we are no longer accepting students into this track.**

The Post-Secondary Teaching track (MS3101) is for students who wish to teach mathematics at the post-secondary level in positions not requiring a doctorate. Two- and some four-year colleges are likely employers of students with such a degree. In addition to the specific requirements below, students are encouraged to take an applied mathematics course such as MATH 5230, 5330, 5470, 5600, 5620, or 5630. The requirements of this track are:

- At least 40 graduate credit hours, of which at least 20 must be in mathematics and at least 12 must be from the College of Education.
- MATH 5221 Modern Algebra I
- MATH 5301 Advanced Calculus I
- At least one of:
- MATH 5222 Modern Algebra II
- MATH 5302 Advanced Calculus II

- At least 2 mathematics courses above 5999, one of which must be MATH 6942 Project in Mathematics Education Research.
- EDRE 5010 - Introduction to Research Methods
- EDRE 7200 and 7210