# 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 451. Introduction-Real Analysis 1.Credit Hours: 3 Semester Offered: Instructor E-mail: Comments From Graduate Director: Standard senior-level undergraduate course in advanced calculus. This course is taken by M.S. students who have not had a previous course in advanced calculus. Math 451 follows in the spring with Math 452. Depending on the outcome of the Basic Exam, if you are a new M.S. student you may be asked or required to take this course. In most cases Math 451 does not count toward M.S. program requirements, but Math 452 does count toward credit requirements. Math 451 is a prerequisite for graduate analysis courses, including real variables, Math 551, and complex analysis, Math 555, and provides important background for courses such as Math 564, Differential Equations. All M.S. students must complete, with a B average, either the Math 451/452 sequence, or Math 551. |

## MATH 465. Partial Differential Equations.Credit Hours: 3 Semester Offered: Instructor E-mail: Comments From Graduate Director: This is an undergraduate course in partial differential equations which in most cases does not count toward M.S. program requirements. However, if you have never seen partial differential equations before, particularly if you are in Option B or are interested in applied mathematics, you might wish to take this course. |

## MATH 521. Numerical Analysis.Credit Hours: 3 Syllabus: Course website link: Semester Offered: Instructor E-mail: Comments From Graduate Director: This is a standard graduate course covering fundamentals of numerical analysis. A previous numerical analysis course is not required but computer programming is necessary (see instructor if you have questions about prerequisites). If you’re interested in applied mathematics, this is a fundamental course to take. It follows in the spring with Math 522, a course in numerical methods for partial differential equations. |

## MATH 541. Modern Algebra 1.Credit Hours: 3 Semester Offered: Comments From Graduate Director: This is the basic graduate course in algebra. Note that algebra is one of the areas of the M.S. Advanced Exams/Ph.D. entrance exams. Math 541 follows in the spring with a second semester, Math 641, and both courses are needed if you are taking the exam. Math 541 is a basic prerequisite for advanced courses in combinatorics, graph theory, and number theory. It is a popular course for first year M.S. students and for first year Ph.D. students who expect to take the Entrance Exam in that area. |

## MATH 551. Real Variables 1.Credit Hours: 3 Semester Offered: Instructor E-mail: Comments From Graduate Director: This is the first semester of a basic graduate two-semester course (551/651) in real analysis. Real analysis is one of the areas of the M.S. Advanced Exams/Ph.D. entrance exams and the full-year sequence should be taken if preparing for the exam. It is a prerequisite for the doctoral sequence in functional analysis and other doctoral-level courses in analysis and applied mathematics. You should have a good background in advanced calculus (Math 451 at least) before taking this class. The first semester is largely devoted to developing Lebesgue measure. Math 651, Real Variables II, is offered in the spring. |

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