# 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 555. Complex Variables 1.Credit Hours: 3 Syllabus: Semester Offered: Instructor E-mail: Comments From Graduate Director: This course is offered every other year and provides a graduate-level introduction to complex variables. Math 451 is generally an expected prerequisite. A basic knowledge of complex variables, at least at an undergraduate level, is essential in many areas of pure and applied mathematics so if you have no prior background and you have taken a course similar to Math 451, you might want to consider taking this course. Otherwise, we offer an undergraduate course Math 456 each spring which in most cases does not count toward course work requirements but will give you a working knowledge of the area. Also Math 568 covers basic complex variables from an engineering mathematics viewpoint. |

## MATH 563. Mathematics Modeling.Credit Hours: 3 Semester Offered: Instructor E-mail: Comments From Graduate Director: This course will give the student some exposure to how mathematics is used to analyze problems arising in real-world applications in industry and science. It is a required course in Option B of the M.S. program. It has been run on a yearly basis, concurrently with Math 464. Students will need a basic undergraduate background in the areas of differential equations and probability and statistics, and basic knowledge of computing software such as Excel or Matlab. |

## MATH 567. Advanced Calculus. I.Credit Hours: 3 Semester Offered: Instructor E-mail: Comments From Graduate Director: This is a course in mathematical methods, aimed primarily at engineering and science graduate students. Can be used to meet requirements in Option B (Industrial/Applied Mathematics) of the M.S. program, or as an elective in other options. This course continues with Math 568 in the spring, which primarily covers complex variables and applications from an engineering mathematics perspective. |

## MATH 573. Graph Theory.Credit Hours: 3 Semester Offered: Instructor E-mail: Comments From Graduate Director: Graph Theory is one of the areas represented in Discrete Mathematics, and has grown over the last thirty years to become an important area in both pure and applied mathematics (e.g. computer science, statistics, and operations research). We regularly offer doctoral-level courses in graph theory, for which this course would be prerequisite and Ph.D. students can make a minor area out of Math 573 and Math 773 or some other 700-level discrete math course. In the spring Math 573 follows with Math 571 Combinatorics, and taking both courses will provide a good background in discrete mathematics. Both courses are offered annually. |

## MATH 581. Topology 1.Credit Hours: 3 Syllabus: Course website link: Semester Offered: Instructor E-mail: Comments From Graduate Director: This is a basic graduate course in topology, useful in both pure and applied mathematics. Topology is one of the areas of the M.S. Advanced Exams/Ph.D. entrance exams, so this course is taken both by M.S. students and by Ph.D. students who want to prepare for the entrance exams. Math 581 follows in the spring with the second semester of topology, Math 681. Students taking the exam in topology will need the background of both semesters. |

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