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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 either 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. Prerequisite or Corequisite: MATH 306. Three hours per week.
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3.00 Credits
Mathematical basis for model building; examples of simple models for uncomplicated systems in biology, psychology, business and other fields; finite Markov process; models for growth process. Prerequisite or Corequisite: MATH 306. 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. Prerequisites: COSC 117 or 118 or 120 and one of the following: MATH 306 or MATH 310 or MATH/PHYS 309 Three hours per week.
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3.00 Credits
Topics include orbits, bifurcations, Cantor sets and horseshoes, symbolic dynamics, fractal dimensions, 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. Prerequisites: MATH 202, 210. 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. Prerequisite: MATH 202 or 210 (both recommended). 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. May not be taken for credit if student has credit for COSC 482. Prerequisites: COSC 120 and MATH 306. Three hours per week.
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3.00 Credits
Enables study in specialized areas such as complex variables, logic, non-Euclidean geometry or other topics suggested by faculty or students. May be taken twice under different titles. Prerequisites: ( For most topics) MATH 306, 310. Three hours per week.
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3.00 Credits
Study in specialized areas of statistics such as time series, stochastic processes, quality control designs and analyses or other topics suggested by faculty or students. May be repeated once under different subtitles. Prerequisites: MATH 213 and permission of instructor. Three hours per week.
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4.00 Credits
Provides teams of 3-12 students with experience in using mathematical and computing tools to solve real-world problems posed by a client organization, such as a research institute, business or industry. Combines individual and group work and requires presentation of a written and oral report to the client organization and the department. Cross-listed with COSC 495. MATH/COSC 495 may be taken twice for a maximum of eight credit hours, but used only once toward a major in mathematics or computer science. Prerequisite: Invitation by the department chair. Four hours per week. ( P/F)
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