# Pure Mathematics

## Pure Mathematics

In addition to the General Degree Requirements as published in this Catalog, students pursuing the Master of Science Degree in Mathematics with concentrations in Pure Mathematics or Applied Mathematics must complete a minimum of thirty (30) graduate credits. For the thesis option, students are required to complete at least twenty-four (24) graduate mathematics credits and six (6) thesis related credits.

For the non-thesis Pure Mathematics concentration track, at least 24 credits of the 30 credits must be in mathematics. Up to 6 credits of areas of special theoretical concentration courses are determined jointly by the interest of the graduate student, the graduate mathematics advisor and members of other departments who are formally designated as graduate faculty.

In either pure or applied concentration tracks, students must maintain a minimum cumulative grade point average of 3.0 to continue in the program.

## Student Learning Outcomes

Students pursuing the Master of Science Degree in Mathematics will be able to:

1. Construct proofs of major advanced theoretical results in mathematics.

2. Use abstract mathematical reasoning and modeling to solve disciplinary and interdisciplinary problems.

3. Apply mathematical theories and concepts to conduct scholarly research in interdisciplinary areas.

4. Present mathematical research results and findings in written and oral forms for mathematical, scientific, and general audiences.

## Pure Mathematics Concentration

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

Graduate Courses: Pure Mathematics Concentration | ||

CMAT 521 | Real Analysis I | 3 |

CMAT 522 | Real Analysis II | 3 |

CMAT 523 | Complex Variables I | 3 |

CMAT 524 | Complex Variables II | 3 |

CMAT 525 | Algebra I | 3 |

CMAT 526 | Algebra II | 3 |

CMAT 527 | Topology I | 3 |

CMAT XXX | Graduate Mathematics Elective | 3 |

CMAT 675 | Thesis Seminar I (or CMATT XXX Graduate Elective) | 3 |

CMAT 676 | Thesis Seminar II (or CMATT XXX Graduate Elective) | 3 |

Total Hours | 30 |

## Mathematics, M.S., with Pure Mathematics Concentration

First Year | ||
---|---|---|

First Semester | Hours | |

CMAT 521 | Real Analysis I | 3 |

CMAT 523 | Complex Variables I | 3 |

CMAT 527 | Topology I | 3 |

Hours | 9 | |

Second Semester | ||

CMAT 522 | Real Analysis II | 3 |

CMAT 524 | Complex Variables II | 3 |

CMAT 528 | Topology II | 3 |

Hours | 9 | |

Second Year | ||

First Semester | ||

CMAT 525 | Algebra I | 3 |

CMAT 675 | Thesis Seminar I (or CMAT XXX Graduate Elective) | 3 |

Hours | 6 | |

Second Semester | ||

CMAT 526 | Algebra II | 3 |

CMAT 676 | Thesis Seminar II (or CMAT XXX Graduate Elective) | 3 |

Hours | 6 | |

Total Hours | 30 |