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Course Information: 700 level

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MATH 757. Theory of Partial Differential Equations 1.

Credit Hours: 
3
Semester Offered: 
Comments From Graduate Director: 
This course is offered in alternate years, alternating with Math 751 Functional Analysis. It is intended to be followed in the spring with Math 758 and so would be suitable for either a minor sequence or as part of a major area in differential equations for Ph.D. students. Some background in differential equations and analysis, such as Math 564 and Math 551, respectively, is needed.

MATH 758. Theory of Partial Differential Equations 2.

Credit Hours: 
3
Semester Offered: 
Comments From Graduate Director: 
Continuation of Math 757. The sequence Math 757-758 is offered in alternate years, with Math 751-752 Functional Analysis.

MATH 764. Asymptotic Methods.

Credit Hours: 
3

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 772. Matroid Theory 2.

Credit Hours: 
3

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