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Course Criteria
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3.00 Credits
Introduction to the study of holomorphic functions of one complex variable. Cauchy-Riemann equations, elementary functions, Laurent series, integral theorems, mappings, applications. Prerequisite: MTH 212. Annually, Spring.
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3.00 Credits
Probability axioms, random variables, commonly used discrete and continuous distributions, expectation, moment generating functions, transformations, multivariate distributions. Prerequisite: MTH 212 or consent of the instructor. Annually, Fall.
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3.00 Credits
Regression analysis (least square estimates of parameters, single and multiples linear regression, hypothesis testing) and time series (linear time series models, moving average, autoregressive and/or ARIMA models, estimation, data analysis and forecasting with time series models, forecast errors and confidence intervals). Prerequisite: MTH 212 or consent of the instructor. Alternate years, Spring '11 or as needed.
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3.00 Credits
Introduction to the study of the integers. Topics include: well-ordering, divisibility, Euclid's Algorithm, primes, linear and polynomial congruences, arithmetic functions, primitive roots and indicies, quadratic reciprocity, sums of squares. Other topics chosen based upon instructor or class interest. Prerequisite: MTH 212 or consent of the instructor. MTH 300 recommended. Alternate years, Spring '11.
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3.00 Credits
An introduction to the techniques of linear algebra. Topics include vector spaces, linear independence, basis, dimension, linear transformations, eigenvalues, and eigenvectors. Prerequisite MTH 300 or consent of the instructor. Annually, Spring.
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3.00 Credits
An introductory course in numerical methods, including computational techniques for locating roots of equations, interpolation, differentiation, integration, approximation, and systems of linear equations; to include detection, prediction, and control of computational errors. Problem solving using mathematical computer programs and computer programming of algorithms is stressed. Prerequisite: MTH 212 and CSI 230; same as CSI 366. As needed.
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3.00 Credits
An introductory course in the solutions of elementary differential equations and of their applications in a variety of real world contexts. A general study of mathematical modeling is included. Prerequisite: MTH 211 or consent of the instructor. Alternate years, Spring '10.
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3.00 Credits
An introduction to the methods of discrete mathematics. Topics include linear and non-linear models. With a focus on recurrence relations, long term behavior, and the use of technology to model real world phenomena. Prerequisite: MTH 210 or consent of the instructor. Annually, Spring.
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3.00 Credits
Introductory concepts and definitions, trees, planar graphs, chromatic numbers, matchings, and Ramsey theory. Prerequisite: MTH 211. Alternate years, Fall '09.
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1.00 - 3.00 Credits
As needed.
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