## Degrees Offered with a Major in Mathematics

- Doctor of Philosophy
- without a concentration
- concentration in Clinical and Translational Science
- concentration in Imaging Science and Technology

- Master of Arts in Teaching
- Master of Science
- Master of Science in Teaching

Requirements for these degrees are given in the Graduate Degrees section of this catalog.

Mathematics Courses

Code | Title | Credits |
---|---|---|

MAA 5104 | Advanced Calculus for Engineers and Physical Scientists I | 3 |

MAA 5105 | Advanced Calculus for Engineers and Physical Scientists II | 3 |

MAA 5228 | Modern Analysis I | 3 |

MAA 5229 | Modern Analysis II | 3 |

MAA 5404 | Introduction to Complex Variables for Engineers and Physical Scientists | 3 |

MAA 6406 | Complex Analysis I | 3 |

MAA 6407 | Complex Analysis II | 3 |

MAA 6616 | Analysis I | 3 |

MAA 6617 | Analysis II | 3 |

MAA 7526 | Advanced Topics in Functional Analysis I | 3 |

MAA 7527 | Advanced Topics in Functional Analysis II | 3 |

MAD 6206 | Combinatorial Theory I | 3 |

MAD 6207 | Combinatorial Theory II | 3 |

MAD 6406 | Numerical Linear Algebra | 3 |

MAD 6407 | Numerical Analysis | 3 |

MAD 7396 | Topics in Combinatorial Theory I | 3 |

MAD 7397 | Topics in Combinatorial Theory II | 3 |

MAE 6940 | Supervised Teaching | 1-5 |

MAE 6943 | Internship in College Teaching | 3 |

MAP 5304 | Intermediate Differential Equations for Engineers and Physical Scientists | 3 |

MAP 5345 | Introduction to Partial Differential Equations | 3 |

MAP 5489 | Modeling in Mathematical Biology | 3 |

MAP 6208 | Numerical Optimization | 3 |

MAP 6327 | Applied Differential Equations I | 3 |

MAP 6356 | Partial Differential Equations I | 3 |

MAP 6357 | Partial Differential Equations II | 3 |

MAP 6375 | Numerical Partial Differential Equations | 3 |

MAP 6376 | Finite Element Method | 3 |

MAP 6467 | Stochastic Differential Equations and Filtering Theory I | 3 |

MAP 6468 | Stochastic Differential Equations and Filtering Theory II | 3 |

MAP 6472 | Probability and Potential Theory I | 3 |

MAP 6473 | Probability and Potential Theory II | 3 |

MAP 6487 | Biomathematics Seminar I | 3 |

MAP 6488 | Biomathematics Seminar II | 3 |

MAP 6505 | Mathematical Methods of Physics and Engineering | 3 |

MAP 6506 | Mathematical Methods of Physics and Engineering II | 3 |

MAP 6941 | Internship in Applied Mathematics | 1-5 |

MAP 7436 | Seminar in Applied Mathematics I | 3 |

MAP 7437 | Seminar in Applied Mathematics II | 3 |

MAS 5311 | Introductory Algebra I | 3 |

MAS 5312 | Introductory Algebra II | 3 |

MAS 6331 | Algebra I | 3 |

MAS 6332 | Algebra II | 3 |

MAS 7215 | Theory of Numbers I | 3 |

MAS 7216 | Theory of Numbers II | 3 |

MAS 7396 | Advanced Topics in Algebra I | 3 |

MAS 7397 | Topics in Algebra II | 3 |

MAT 6905 | Individual Work | 3 |

MAT 6910 | Supervised Research | 1-5 |

MAT 6932 | Special Topics in Mathematics | 3 |

MAT 6971 | Research for Master's Thesis | 1-15 |

MAT 7979 | Advanced Research | 1-12 |

MAT 7980 | Research for Doctoral Dissertation | 1-15 |

MHF 5107 | Introduction to Set Theory | 3 |

MHF 5207 | Foundations of Mathematics | 3 |

MHF 6306 | Mathematical Logic I | 3 |

MTG 5316 | Introduction to Topology I | 3 |

MTG 5317 | Introduction to Topology II | 3 |

MTG 6256 | Differential Geometry I | 3 |

MTG 6257 | Differential Geometry II | 3 |

MTG 6346 | Topology I | 3 |

MTG 6347 | Topology II | 3 |

MTG 6401 | Ergodic Theory and Dynamical Systems I | 3 |

MTG 6402 | Ergodic Theory and Dynamical Systems II | 3 |

MTG 7396 | Advanced Topics in Topology I | 3 |

## Mathematics Departmental Courses

Code | Title | Credits |
---|---|---|

MAA 5104 | Advanced Calculus for Engineers and Physical Scientists I | 3 |

MAA 5105 | Advanced Calculus for Engineers and Physical Scientists II | 3 |

MAA 5228 | Modern Analysis I | 3 |

MAA 5229 | Modern Analysis II | 3 |

MAA 5404 | Introduction to Complex Variables for Engineers and Physical Scientists | 3 |

MAA 6406 | Complex Analysis I | 3 |

MAA 6407 | Complex Analysis II | 3 |

MAA 6616 | Analysis I | 3 |

MAA 6617 | Analysis II | 3 |

MAA 7526 | Advanced Topics in Functional Analysis I | 3 |

MAA 7527 | Advanced Topics in Functional Analysis II | 3 |

MAD 6206 | Combinatorial Theory I | 3 |

MAD 6207 | Combinatorial Theory II | 3 |

MAD 6406 | Numerical Linear Algebra | 3 |

MAD 6407 | Numerical Analysis | 3 |

MAD 7396 | Topics in Combinatorial Theory I | 3 |

MAD 7397 | Topics in Combinatorial Theory II | 3 |

MAE 6940 | Supervised Teaching | 1-5 |

MAE 6943 | Internship in College Teaching | 3 |

MAP 5304 | Intermediate Differential Equations for Engineers and Physical Scientists | 3 |

MAP 5345 | Introduction to Partial Differential Equations | 3 |

MAP 5489 | Modeling in Mathematical Biology | 3 |

MAP 6208 | Numerical Optimization | 3 |

MAP 6327 | Applied Differential Equations I | 3 |

MAP 6356 | Partial Differential Equations I | 3 |

MAP 6357 | Partial Differential Equations II | 3 |

MAP 6375 | Numerical Partial Differential Equations | 3 |

MAP 6376 | Finite Element Method | 3 |

MAP 6467 | Stochastic Differential Equations and Filtering Theory I | 3 |

MAP 6468 | Stochastic Differential Equations and Filtering Theory II | 3 |

MAP 6472 | Probability and Potential Theory I | 3 |

MAP 6473 | Probability and Potential Theory II | 3 |

MAP 6487 | Biomathematics Seminar I | 3 |

MAP 6488 | Biomathematics Seminar II | 3 |

MAP 6505 | Mathematical Methods of Physics and Engineering | 3 |

MAP 6506 | Mathematical Methods of Physics and Engineering II | 3 |

MAP 6941 | Internship in Applied Mathematics | 1-5 |

MAP 7436 | Seminar in Applied Mathematics I | 3 |

MAP 7437 | Seminar in Applied Mathematics II | 3 |

MAS 5311 | Introductory Algebra I | 3 |

MAS 5312 | Introductory Algebra II | 3 |

MAS 6331 | Algebra I | 3 |

MAS 6332 | Algebra II | 3 |

MAS 7215 | Theory of Numbers I | 3 |

MAS 7216 | Theory of Numbers II | 3 |

MAS 7396 | Advanced Topics in Algebra I | 3 |

MAS 7397 | Topics in Algebra II | 3 |

MAT 6905 | Individual Work | 3 |

MAT 6910 | Supervised Research | 1-5 |

MAT 6932 | Special Topics in Mathematics | 3 |

MAT 6971 | Research for Master's Thesis | 1-15 |

MAT 7979 | Advanced Research | 1-12 |

MAT 7980 | Research for Doctoral Dissertation | 1-15 |

MHF 5107 | Introduction to Set Theory | 3 |

MHF 5207 | Foundations of Mathematics | 3 |

MHF 6306 | Mathematical Logic I | 3 |

MHF 6307 | Mathematical Logic 2 | 3 |

MTG 5316 | Introduction to Topology I | 3 |

MTG 5317 | Introduction to Topology II | 3 |

MTG 6256 | Differential Geometry I | 3 |

MTG 6257 | Differential Geometry II | 3 |

MTG 6346 | Topology I | 3 |

MTG 6347 | Topology II | 3 |

MTG 6401 | Ergodic Theory and Dynamical Systems I | 3 |

MTG 6402 | Ergodic Theory and Dynamical Systems II | 3 |

MTG 7396 | Advanced Topics in Topology I | 3 |

MTG 7397 | Advanced Topics in Topology II | 3 |

## mathematics (PHD)

SLO 1 Knowledge

Describes and explains advanced knowledge of at least one chosen specialty and conducts research in it.

SLO 2 Skills

Communicates mathematical thinking through clear and compelling arguments to faculty, peers and others.

SLO 3 Professional Behavior

Teaches mathematical courses in a professional manner, assessing the appropriate level of presentation for the students, creating an atmosphere conducive to learning, and supporting student-teacher interactions for active learning

## Mathematics (MAT)

SLO 1 Knowledge

Demonstrates content knowledge relevant to mathematics teaching

SLO 2 Skills

Communicates mathematics effectively through prior organization of material, effective use of the blackboard or other presentation media, compelling choice of illustrative examples, and emphasis on methods of solving problems rather than on presenting solutions

SLO 3 Professional Behavior

Prepares for lessons; arrives on time; conducts themselves appropriately

## Mathematics (MS)

SLO 1 Knowledge

Depth: Either solves problems in two areas from algebra/analysis/applied/topology or conducts research in mathematics at the master's level

SLO 2 Skills

Writes extended mathematical prose to the precision required by the discipline and supports mathematical arguments with logical reasoning

SLO 3 Professional Behavior

Teaches mathematical courses in a professional manner, assessing the appropriate level of presentation for the students, creating an atmosphere conducive to learning, and supporting student-teacher interactions for active learning

## Mathematics (MST)

SLO 1 Knowledge

Describes and explains content knowledge relevant to mathematics and teaching

SLO 2 Skills

Communicates mathematics effectively through prior organization of material, effective use of the blackboard or other presentation media, compelling choice of illustrative examples, and emphasis on methods of solving problems rather than on presenting solutions

SLO 3 Professional Behavior

Prepares for lessons; arrives on time; conducts themselves appropriately