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MATH 621. Computational Matrix Theory.

Credit Hours: 
3

MATH 631 RUME:1: Introduction to Undergraduate Mathematics Education Research

Credit Hours: 
3
Semester Offered: 
Comments From Graduate Director: 
This is one of four graduate courses covering research in undergraduate mathematics education that form the basis of a specialization area in our Ph.D. program. M.S. students can use these as electives in their course work, and the course is open to M.S. or Ph.D. students, preferably those with the maturity of at least a year of graduate level work.

MATH 641. Modern Algebra 2.

Credit Hours: 
3
Semester Offered: 
Comments From Graduate Director: 
Continuation of Math 541. This is the basic graduate sequence 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 541-641 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 645. Number Theory 2.

Credit Hours: 
3
Semester Offered: 
Comments From Graduate Director: 
A continuation of Math 545. The sequence Math 545-645 is course is offered about every other year and provides a graduate-level introduction to Number Theory.

MATH 651. Real Variables 2.

Credit Hours: 
3
Semester Offered: 
Comments From Graduate Director: 
Continuation of Math 551. This is 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. Math 651 is recommended particularly for students intending to take the doctoral sequence in functional analysis and other doctoral-level courses in analysis and applied mathematics. However, the material is basic for anyone planning to teach upper level mathematics at the college level.

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