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Course Criteria
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3.00 Credits
Introduction to complex variables accessible to juniors and seniors in mathematics and the physical sciences. Topics will include the algebra of the complex number system, analytic functions, contour integrals, elementary functions, sequences, series and residues. More advanced topics may include conformal mapping, the Schwarz-Christoffel transformation, integral formulas of the Poisson type and Riemann surfaces. Prerequisites: MATH 310 and MATH 210 or PHYS 309. Three hours per week.
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3.00 Credits
Introduction to the fundamental problems of operations research. Topics include mathematical programming, network analysis, simulation, probabilistic decision models, queuing and inventory models. Credit may not be received for more than one: MATH 460, MATH 560. Prerequisite or Corequisites: MATH 306, graduate standing required. Three hours per week.
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3.00 Credits
Introduction to the theory of groups, rings, integral domains and fields, including basic properties of polynomials. Credit may not be received for more than one: MATH 441, MATH 561. Prerequisites: MATH 210 or 306 (both recommended), graduate standing required. Three hours per week.
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3.00 Credits
Modern abstract algebra including such topics as rings, polynomials and fields. Other topics may include algebraic coding, Boolean algebras, symmetry and mathematical crystallography, applications of finite fields to computer science. Credit may not be received for more than one: MATH 442, MATH 562. Prerequisites: MATH 441 or 561, graduate standing required. Three hours per week.
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3.00 Credits
Designed for middle-school teachers of mathematics, with emphasis on expressing mathematical relationships found in the real world. The models studied will vary. Examples of technology to support the course include spreadsheets, simulation packages, graphing calculators and electronic devices to gather for laboratory exercises. Graduate credit only. Prerequisite: Admission to graduate study. Three hours per week.
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3.00 Credits
Designed for middle-school teachers of mathematics. Topics include axiomatic formulations, Euclidean and non-Euclidean geometry, spirals, symmetry, coordinate geometry, graphs, networks, fractals and geometry in art. Graduate credit only. Prerequisite: Admission to graduate study. Three hours per week.
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3.00 Credits
Interpolation, functional approximation, numerical differentiation and integration, nonlinear equations, systems of linear equations, analysis of error. Credit may not be received for more than one: MATH 471, MATH 571. Prerequisites: COSC 117 or 118 or 120 and one of the following: MATH 306 or MATH 310 or MATH/PHYS 309, graduate standing required. Three hours per week.
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3.00 Credits
Introduction to mathematical dynamics and chaos. Topics include orbits, bifurcations, Cantor sets and horseshoes, symbolic dynamics, fractal dimension, notions of stability, flows and chaos. Includes motivation and historical perspectives, as well as examples of fundamental maps studied in dynamics and applications of dynamics. Credit may not be received for more than one: MATH 475, MATH 575. Prerequisites: MATH 202 or 210, graduate standing required. Three hours per week.
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3.00 Credits
Study of the chronological development of mathematics with emphasis on both the mathematical concepts and the principal contributors to the development of those concepts. Credit may not be received for more than one: MATH 480, MATH 580. Prerequisites: MATH 202 or 210 (both recommended), graduate standing required. Three hours per week.
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3.00 Credits
Generate and manipulate graphic information using the computer. Emphasis on the analysis of fundamental problems associated with these activities and on the structured design of solutions. Cross-listed with COSC 482/582. Credit may not be received for more than one: COSC 482, COSC 582, MATH 482, MATH 582. Prerequisites: COSC 120, MATH 306, graduate standing required. Three hours per week.
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