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Fall 2016

Math 733 RUME 3: Advanced Learning Theories

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.

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 780. Seminar in Topology: Algebraic Topology.

Credit Hours: 
3
Semester Offered: 
Comments From Graduate Director: 
This is an advanced seminar in algebraic topology. Students should have a minimum of Math 581-681 and Math 541.

MATH 747. Advanced Topics in Modern Algebra

Credit Hours: 
3
Course coordinator: 
Professor Wojciechowski
Semester Offered: 
Comments From Graduate Director: 
Provides, in essence, a “third semester” of modern algebra after Math 541-641. This course can be used with Math 641 to make a minor area in algebra for Ph.D. students. It is offered every one or two years and sometimes continues in the spring. The course can be repeated for credit, as the topics will change from year to year. Please contact the instructor for further information on the topics to be covered this year.

MATH 793A SPTP: Math Systems Biology

Credit Hours: 
3
Syllabus: 
Semester Offered: 
Comments From Graduate Director: 
This course studies dynamical systems that arise in the modeling of biological systems and how these systems can result in fundamental biological phenomena, including stable equilibria that arise in complex systems, and bistable states. We expect to offer a three semester sequence in systems biology, with the second course emphasizing simulation of complex biological systems and the third semester devoted to the role of random effects.

MATH 771. Matroid Theory 1.

Credit Hours: 
3
Semester Offered: 
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

MATH 751. Functional Analysis 1.

Credit Hours: 
3
Semester Offered: 
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 696. Graduate Seminar.

Credit Hours: 
1
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 590. Teaching Practicum.

Credit Hours: 
variable hours
Semester Offered: 
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 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.

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