# MS in Mathematics

The **M.S. program in Applied Mathematics** offers students a rigorous introduction to the fundamental tools of applied mathematics, with particular emphasis on differential equations and numerical analysis. The program requires 30 semester hours of course work that includes year-long courses in real analysis, numerical analysis, and differential equations and a semester course in complex analysis. Elective courses can be chosen from graduate courses in applied areas such as linear, nonlinear and dynamic programming, convex analysis, calculus of variations, applied functional analysis, and optimal control. A recently added Industrial Mathematics track allows students to take six of their elective hours in approved courses in the departments of Physics, Chemistry, Biology, Economics, Engineering, ISOM, Business or Environmental Sciences. A major component of this track is a project report (to serve as a thesis) which contains a solution to a practical "real-life" problem drawn from a company, university department or government unit.

The **M.S. program in Statistics** gives students training in methodology of applied statistics and also provides a solid foundation in statistical theory. Students' skills in applied statistics are developed through project-oriented courses, statistical computing emphasizing *S+* and *SAS*, and faculty supervised experience in the Department's statistical consulting service. Through the statistical consulting service students gain first-hand experience assisting with the statistical analysis of problems that come from local institutions such as the U Toledo College of Medicine and The UToledo Center for Applied Pharmacology, and from local industries. The program requires 32 semester hours of courses. Among the required courses are applications of statistics, statistical inference, linear statistical models, multivariate analysis, statistical computing, non-parametric statistics, categorical data analysis, statistical consulting, and sample survey methods and theory.

The degree of Master of Science can be obtained in one of two options.

**Option A** – Applied Mathematics: To obtain the degree of Master of Science in the applied mathematics option, the student must complete a minimum of 30 semester hours of graduate credit and meet the following requirements:

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

MATH 5710 & MATH 5720 | Methods Of Numerical Analysis I and Methods Of Numerical Analysis II | 6 |

MATH 5820 & MATH 5830 | Introduction To Real Analysis I and Introduction To Real Analysis II | 6 |

MATH 6500 & MATH 6510 | Ordinary Differential Equations and Partial Differential Equations | 6 |

MATH 5880 | Complex Variables | 3 |

Select three of the following: | 9 | |

Classical Differential Geometry I | ||

Ordinary Differential Equations | ||

Partial Differential Equations | ||

Dynamical Systems I | ||

Dynamical Systems II | ||

Methods Of Mathematical Physics I | ||

Functional Analysis I | ||

Complex Variables | ||

Discrete Structures And Analysis Algorithms | ||

Introduction To Theory Of Probability | ||

Introduction To Mathematical Statistics | ||

Calculus Of Variations And Optimal Control Theory I | ||

The student must pass a two-part comprehensive examination or submit and defend a master’s thesis. | ||

Total Hours | 30 |

**Option B** – Statistics: To obtain the degree of Master of Science in the statistics option, the student must complete a minimum of 35 semester hours of graduate credit and meet the following requirements:

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

MATH 5680 | Introduction To Theory Of Probability | 3 |

MATH 5690 | Introduction To Mathematical Statistics | 3 |

MATH 5600 | Advanced Statistical Methods I | 3 |

MATH 5610 | Advanced Statistical Methods II | 3 |

MATH 5620 | Linear Statistical Models | 3 |

MATH 5630 | Theory And Methods Of Sample Surveys | 3 |

MATH 5640 | Statistical Computing | 3 |

MATH 6620 | Categorical Data Analysis | 3 |

MATH 6630 | Nonparametric Statistics | 3 |

MATH 6640 | Topics In Statistics | 3 |

MATH 6650 | Statistical Inference | 3 |

MATH 6690 | Multivariate Statistics | 3 |

Pass a two-part comprehensive examination, one part in probability and statistical theory and one part in applied statistics. | ||

Total Hours | 36 |