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Course Information: 500 level

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MATH 571. Combinatorial Analysis 1.

Credit Hours: 
3
Semester Offered: 
Comments From Graduate Director: 
Several faculty in the department have research interests in combinatorics, and this course provides needed introductory background. Along with Graph Theory, Math 573, the two courses make an excellent “Introduction to Discrete Mathematics” an area of current interest in mathematics and applications, and a focus of department research.

MATH 573. Graph Theory.

Credit Hours: 
3
Semester Offered: 
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 578. Applied Discrete Mathematics.

Credit Hours: 
3
Semester Offered: 
Comments From Graduate Director: 
This course is the same as Math 373, Introduction to Cryptography, except there are additional requirements for graduate students to correspond to the graduate level number. It is a useful elective for graduate students interested in discrete mathematics. Some undergraduate background in modern algebra and linear algebra is needed. See Professor Lai for more information on course coverage and requirements.

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 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.

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