# Current Graduate Offerings

# Current Graduate Offerings

## Fall 2018

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 590. Teaching Practicum.Credit Hours: variable hours Semester Offered: Instructor E-mail: Comments From Graduate Director: All GTA’s enroll for one credit hour of Math 590 each semester. This course will reflect the supervised duties assigned to the GTA each semester, which will change from semester to semester. Most GTA’s will take the Teaching Seminar in the Spring of their first year, followed by a second semester in the Fall of their second year. The Teaching Seminar is included in your Math 590 enrollment. |

## MATH 696. Graduate Seminar.Credit Hours: 1 Course website link: Semester Offered: Comments From Graduate Director: Ph.D. students are required to enroll for one credit of graduate seminar each semester they are in residence. Expectations of this course are contained in the linked document. In the spring, we offer Math 694 Seminar: Professional Tools, which needs to be taken once by each graduate student. During the semester Math 694 is taken, Ph.D. students do not need to enroll in Math 696. |

## MATH 751. Functional Analysis 1.Credit Hours: 3 Course website link: 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 Syllabus: 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 |

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