# Current Graduate Offerings

# Current Graduate Offerings

## Fall 2016

You are welcome to contact the instructor for more information about any course below. E-mail addresses can be obtained from the Math Department Directory Page.

Roughly speaking, 500-level courses are intended as first-year M.S. courses, 600-level are more advanced M.S. level courses, and 700-level courses are doctoral courses. With the exception of Math 452, most 400-level courses do not count toward program requirements.

Note: Except as noted, all courses below the 600-level that are listed below are now planned on being offered annually.

Links with further information will be added as provided by the instructor. Comments on this page represent brief remarks by the Graduate Director as to how each course fits into the graduate program. Catalog descriptions of the courses are available through the University’s website or at Available Math Courses.

## MATH 751. Functional Analysis 1.Credit Hours: 3 Semester Offered: Instructor E-mail: Comments From Graduate Director: This course is offered in alternate years, alternating with Math 757 Partial Differential Equations. It is intended to be followed in the spring with Math 752 and so would be suitable for either a minor sequence or as part of a major area in analysis for Ph.D. students. |

## MATH 771. Matroid Theory 1.Credit Hours: 3 Semester Offered: Instructor E-mail: Comments From Graduate Director: This course usually follows with a second semester, Math 772, in the spring. Matroid theory emergies from the studies of graph theory, combinatorial optimization, industrial engineeringand studies of certain algebraic structures (linear independence and algebraic independence, for example) and has become an important and attractive branch of mathematics, both in theory and in applications. The objective of this sequence is to introduce to students the basics of matroid theory, including the following topics in the first semester: Independent sets and circuits, other matroid axiom systems, representations, duality theory, matroid minors, connectivity, and constructions. The second semester will be devoted to more advanced topics, including matroid connectivity, algebraic matroids over finite fields, decomposition of matroids, among others. Research front problems will be discussed. Research problem discussions will be focused on supereulerian matroids, and optimal matroid circuit covers |

## MATH 780. Seminar in Topology: Algebraic Topology.Credit Hours: 3 Semester Offered: Instructor E-mail: Comments From Graduate Director: This is an advanced seminar in algebraic topology. Students should have a minimum of Math 581-681 and Math 541. |

## MATH 793A SPTP: Math Systems BiologyCredit Hours: 3 Syllabus: Semester Offered: Instructor E-mail: Comments From Graduate Director: This course studies dynamical systems that arise in the modeling of biological systems and how these systems can result in fundamental biological phenomena, including stable equilibria that arise in complex systems, and bistable states. We expect to offer a three semester sequence in systems biology, with the second course emphasizing simulation of complex biological systems and the third semester devoted to the role of random effects. |

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