## Master of Science

## Degree Requirements

**Credit Hours**: Students are required to complete a minimum of 31 credit hours in Mathematics at the 400, 500 or 600 levels. While some courses may fulfill several degree requirements, the same course cannot be used to fulfill more than one requirement.**Grade Point Average:**Students must earn a minimum overall GPA of 2.75, a minimum grade of B- in all courses applied to the degree with the exception of elective courses, and a minimum GPA of 3.0 in all coursework applied to the degree.**Area of Emphasis:**Students must select between a Pure Mathematics or an Applied Mathematics area of emphasis by the end of their first year of study.**Master's Thesis:**all students who have earned an overall GPA of 3.25 or higher may decide to write a thesis.**Completion Requirements:**- Pure Mathematics AoE: In addition to completion of required coursework, students must pass the M. S. Advanced Exam by passing two subject areas from among Real Analysis, Algebra, Topology, and Differential Equations. Any exam can only be attempted three times.
- Applied Mathematics AoE: In addition to completion of required coursework, students must present a project under the supervision of a faculty member, complete an internship and present an internship report, or complete a thesis.

## Curriculum Requirements

Foundation Courses | 7 | |

Real Analysis Requirement | ||

Select one of the following: | ||

Introduction to Real Analysis 2 | ||

Real Variables 1 | ||

Linear Algebra Requirement | ||

Linear Algebra | ||

Seminar | ||

Area of Emphasis | 12 | |

Select one option: | ||

Pure Mathematics | ||

Applied Mathematics | ||

Electives | 12 | |

Select four courses in consultation with adviser: | ||

Numerical Analysis | ||

Numerical Solution of PDE | ||

Foundations of Geometry | ||

Modern Algebra | ||

Number Theory 1 | ||

Real Variables 1 | ||

Complex Variables 1 | ||

Mathematics Modeling | ||

Intermediate Differential Equations | ||

Advanced Calculus | ||

Advanced Calculus | ||

Combinatorial Analysis 1 | ||

Graph Theory | ||

Applied Discrete Mathematics | ||

RUME 1: Introduction to Undergraduate Mathematics Education Research | ||

Modern Algebra 2 | ||

Number Theory 2 | ||

Real Variables 2 | ||

Topology 2 | ||

Set Theory and Applications | ||

Research ^{*} | ||

Statistical Methods 2 (or above,) | ||

Design of Experiments | ||

Forensic Statistics | ||

Statistical Analysis System Programming | ||

Advanced Statistical Analysis System Programming | ||

Sampling Theory and Methods | ||

Applied Regression Analysis | ||

Categorical Data Analysis | ||

Theory of Statistics 1 | ||

Theory of Statistics 2 | ||

Formal Specification of Language | ||

Advanced Analysis of Algorithms | ||

Computational Complexity | ||

Advanced Artificial Intelligence Techniques | ||

Advanced Data Mining | ||

Total Hours | 31 |

* | 3 credits maximum of MATH 697 may be used for students writing a thesis |

## Areas of Emphasis Offered:

### Applied Mathematics Area of Emphasis

CORE COURSES: | 9 | |

Numerical Analysis | ||

Mathematics Modeling | ||

Intermediate Differential Equations | ||

COMPLEX VARIABLES ELECTIVE: | 3 | |

Select one course: | ||

Complex Variables | ||

Complex Variables 1 | ||

Advanced Calculus | ||

Total Hours | 12 |

### Pure Mathematics Area of Emphasis

CORE COURSES: | 9 | |

Select one sequence: ^{*} | ||

Modern Algebra and Modern Algebra 2 | ||

Real Variables 1 and Real Variables 2 | ||

Topology 1 and Topology 2 | ||

Select one course from the following: ^{*} | ||

Modern Algebra | ||

Real Variables 1 | ||

Topology 1 | ||

ELECTIVES: ^{*} | 3 | |

Modern Algebra | ||

Number Theory 1 | ||

Real Variables 1 | ||

Complex Variables 1 | ||

Intermediate Differential Equations | ||

Combinatorial Analysis 1 | ||

Graph Theory | ||

Topology 1 | ||

Total Hours | 12 |

* | May not use a course used for another requirement. |

**Major Learning Outcomes**

**Mathematics**

M.S. students are expected to:

- Solve problems showing a conceptual and operational understanding of real analysis and linear algebra as evidenced by success in required coursework in these fields.
- Read, analyze, and write logical arguments to prove mathematical concepts in advanced mathematics courses.
- Communicate mathematical ideas with precision and clarity on written advanced exams or a research thesis.
- Illustrate an understanding of professional tools used in the mathematical sciences by participation in the professional tools seminar.