# 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 InformationA 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:

Code | Title | Credit Hours |
---|---|---|

MATH 6701 | Math Methods of Applied Sciences I | 3 |

MATH 6702 | Math Methods of Applied Sciences II | 3 |

MATH 3012 | Applied Combinatorics | 3 |

MATH 3215 | Introduction to Probability and Statistics | 3 |

MATH 4107 | Introduction to Abstract Algebra I | 3 |

MATH 4317 | Analysis I | 3 |

MATH 4318 | Analysis II | 3 |

MATH 4320 | Complex Analysis | 3 |

MATH 4640 | Numerical Analysis I | 3 |

Code | Title | Credit Hours |
---|---|---|

Analysis Concentration | ||

Select at least two of the following: ^{1,2} | 6 | |

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. ^{2} | 6 | |

Non-Thesis Option | ||

MATH 6000-level or higher ^{2} | 6 | |

6000-level or higher Free Electives | 12 | |

Total Credit Hours | 30 |

^{1} | |

^{2} | Minimum grade of |

## 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:

Code | Title | Credit Hours |
---|---|---|

MATH 6701 | Math Methods of Applied Sciences I | 3 |

MATH 6702 | Math Methods of Applied Sciences II | 3 |

MATH 3012 | Applied Combinatorics | 3 |

MATH 3215 | Introduction to Probability and Statistics | 3 |

MATH 4107 | Introduction to Abstract Algebra I | 3 |

MATH 4317 | Analysis I | 3 |

MATH 4318 | Analysis II | 3 |

MATH 4320 | Complex Analysis | 3 |

MATH 4640 | Numerical Analysis I | 3 |

Code | Title | Credit Hours |
---|---|---|

Analysis Concentration | ||

Select at least two of the following: ^{1,2} | 6 | |

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. ^{2} | 6 | |

Thesis | ||

MATH 9000 | Doctoral Thesis | 9 |

Additional 4000-level or higher Coursework | 9 | |

Total Credit Hours | 30 |

^{1} | |

^{2} | Minimum grade of |

### Discrete Mathematics and Algebra

Code | Title | Credit Hours |
---|---|---|

MATH 6014 | Graph Theory and Combinatorial Structures | 3 |

MATH 6121 | Modern Abstract Algebra I | 3 |

MATH 6122 | Modern Abstract Algebra II | 3 |

MATH 7016 | Combinatorics | 3 |

MATH 7018 | Probabilistic Methods in Combinatorics | 3 |

### Geometry and Topology

Code | Title | Credit Hours |
---|---|---|

MATH 6441 | Algebraic Topology I | 3 |

MATH 6442 | Algebraic Topology II | 3 |

MATH 6455 | Differential Geometry I | 3 |

MATH 6456 | Differential Geometry II | 3 |

MATH 6457 | Geometry and Topology I | 3 |

MATH 6458 | Introduction to Geometry and Topology II | 3 |

### Differential Equations

Code | Title | Credit Hours |
---|---|---|

MATH 6307 | Ordinary Differential Equations I | 3 |

MATH 6308 | Ordinary Differential Equations II | 3 |

MATH 6341 | Partial Differential Equations I | 3 |

MATH 6342 | Partial Differential Equations II | 3 |

### Probability and Mathematical Statistics

Code | Title | Credit Hours |
---|---|---|

MATH 6241 | Probability I | 3 |

MATH 6242 | Probability II | 3 |

MATH 7244 | Stochastic Processes and Stochastic Calculus I | 3 |

MATH 7245 | Stochastic Processes and Stochastic Calculus II | 3 |

MATH 6262 | Advanced Statistical Inference I | 3 |

MATH 6263 | Testing Statistical Hypotheses | 3 |

MATH 6266 | Linear Statistical Models | 3 |

MATH 6267 | Multivariate Statistical Analysis | 3 |

### Numerical Analysis

Code | Title | Credit Hours |
---|---|---|

MATH 6640 | Introduction to Numerical Methods for Partial Differential Equations | 3 |

MATH 6643 | Numerical Linear Algebra | 3 |

MATH 6644 | Iterative Methods for Systems of Equations | 3 |

MATH 6645 | Numerical Approximation Theory | 3 |

MATH 6646 | Numerical Methods for Ordinary Differential Equations | 3 |