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Course Criteria
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3.00 Credits
For high school teachers. A return to the main topics of calculus with more emphasis on theory, applications, and historical development than in the usual introductory course. For students in mathematics and statistics programs, credit may only be applied to the degree Master of Arts in Teaching. Prerequisite: licensure in secondary school mathematics or permission of instructor. Summer only.
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3.00 Credits
For high school teachers. Re-examination of traditional material of secondary-school geometry from an advanced viewpoint. Recent developments on content and methods are included. For students in mathematics and statistics programs, credit may be applied only to the degree Master of Arts in Teaching. Prerequisite: licensure in secondary school mathematics or permission of instructor. Summer only.
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3.00 Credits
For high school teachers. An in-depth development of selected topics with their applications and history. Theory of equations, number theory, number systems, complex numbers, systems of equations, matrices, determinants, algebraic structures. For students in mathematics and statistics programs, credit may be applied only to the degree Master of Arts in Teaching. Prerequisite: licensure in secondary school mathematics or permission of instructor. Summer only; offered every third summer.
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3.00 Credits
Topics selected from an area of algebra. Prerequisite: permission of department chair. Offered infrequently.
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4.00 Credits
Sylow theory, composition series, polynomial rings. Galois theory of fields, modules over a principal ideal domain and their application. Prerequisite: MTH 421/521 or permission of department chair.
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3.00 Credits
Continued study of structures from MTH 621 together with algebras, tensor products, radicals, chain conditions and dimension, within one of the frameworks: commutative algebra, artinian rings, homological algebra, or Lie algebras. Prerequisite: MTH 621.
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3.00 Credits
Special topics selected from game theory, combinatorics, graph theory, optimization, computer algorithms, and other subjects under general heading of operations research. Prerequisite: permission of instructor.
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3.00 Credits
Separation of convex sets, linear programming duality, convex analysis and Lagrangian duality, Fritz John and Kuhn-Tucker conditions, penalty function methods. Prerequisite: MTH 432/532 and 441/541 or permission of instructor.
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3.00 Credits
Advanced treatment of graph theory. Extremal problems, probabilistic, algebraic, and topological aspects of graph theory, analysis of graph algorithms, Ramsey theory. Prerequisite: MTH 438/538 or permission of instructor.
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4.00 Credits
Lebesgue measure, Lebesgue integration, differentiation, general measures and integration, Radon- Nikodym theorem, Fubini theorem, classical Lp spaces, Banach spaces. Prerequisite: MTH 491/591.
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