**Professor and Head of the Department**

H. Gaskill

The degrees of Master of Applied Statistics (see appropriate calendar entry),
Master of Science and Doctor of Philosophy are offered in the Department of
Mathematics and Statistics. The Masters' degrees are offered by full-time
and part-time studies.

**SPECIFIC REQUIREMENTS FOR THE M.SC. IN MATHEMATICS
**

Every candidate for the M.Sc. in Mathematics is required to take at least 18 credit hours in graduate courses, at most 3 credit hours of which may be from seminar courses. At least 9 credit hours must be from courses selected from the list below with at least 3 credit hours in each of three of the indicated subject areas. A thesis is required.

ALGEBRA: M6320 (Group Theory), M6321 (Ring Theory) ANALYSIS: M6310 (Functional Analysis), M6311 (Complex Analysis), M6312 (Measure Theory)

APPLIED MATHEMATICS: M6201 or M6212 (Numerical Differential Equations), M6100 (Dynamical Systems)

COMBINATORICS: M6340 (Graph Theory), M6341 (Combinatorial Design Theory), M6342 (Advanced Enumeration)

TOPOLOGY: M6300 or M6301 (Algebraic Topology), M6332 (Point Set Topology)

Every candidate for the M.Sc. in Statistics is required to take at least 18 credit hours in graduate courses, at most 3 credit hours of which may be from seminar courses. A thesis is required.

**TABLE OF CREDIT RESTRICTIONS FOR PRESENT MATHEMATICS
COURSES WITH FORMER MATHEMATICS COURSES**

CREDIT MAY BE OBTAINED FOR ONLY ONE COURSE FROM EACH OF THE PAIRS LISTED IN THIS TABLE

Present Course |
Former Course |
Present Course |
Former Course |

6323 | 6030 | 6212 | 6080 |

6321 | 6032 | 6310 | 6130 |

6322 | 6035 | 6330 | 6200 |

6340 | 6040 | 6331 | 6210 |

6341 | 6041 | 6332 | 6350 |

6342 | 6042 | 6312 | 6500 |

**COURSES**

A selection of the following graduate courses will be offered to meet the requirements of candidates, as far as the resources of the Department will allow:

6100. Dynamical Systems

6101. Modern Perturbation Theory

6102-6109. Special Topics in Applied Mathematics

6212. Numerical Methods for Initial Value Problems

6201. Numerical Methods for Partial Differential Equations

6202-6209. Special Topics in Numerical Analysis

6300. Algebraic Topology I (Homology Theory)

6301. Algebraic Topology II (Homotopy Theory)

6302. Algebraic Topology III (Theory of Fibre Bundles)

6332. Point Set Topology

6304-6309. Special Topics in Topology

6310. Functional Analysis

6311. Complex Analysis

6312. Measure Theory

6313-6319. Special Topics in Analysis

6320. Group Theory

6321. Ring Theory

6322. Nonassociative Algebra

6323. Homological Algebra

6324-6329. Special Topics in Algebra

6330. Analytic Number Theory

6331. Algebraic Number Theory

6340. Graph Theory

6341. Combinatorial Design Theory

6342. Advanced Enumeration

6343-6349. Special Topics in Combinatorics

6503. Stochastic Processes

6510. Mathematical Statistics

6520. Linear Models

6560. Continuous Multivariate Analysis

6561. Discrete Multivariate Analysis

6580-6589. Selected Topics in Statistics and Probability

6590. A Course in Statistical Consulting

**SEMINAR COURSES IN MATHEMATICS AND STATISTICS**

Seminar courses in the following areas are the most frequently offered.

6910. Topology

6930. Statistics

6940. Pure and Applied Analysis

6950. Algebra

Last modified on June 4, 2003 by R. Bruce

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