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MATH 581. Topology 1.

Credit Hours: 
3
Semester Offered: 
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.

MATH 593G. SPTP: Applied Dynamics/Chaos.

Credit Hours: 
3
Syllabus: 
Semester Offered: 
Comments From Graduate Director: 
This is a special topics class in dynamical systems, an important and evolving area within applied mathematics. The pre-requisite is an undergraduate course in differential equations. Topics include stability, bifurcations, catastrophe theory, chaos, the butterfly effect, strange attractors, fractals. There are diverse applications to biology, physics, chemistry and engineering. The course is cross-listed with Math 493H.

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.

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