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Course Criteria
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3.00 Credits
An introduction to linear algebra: matrices and determinants, vector spaces, linear transformations, linear systems and eigenvalues; mathematical and physical applications. (Writing-intensive.) (Quantitative and Symbolic Reasoning.) Prerequisite, 114 or 215 or consent of instructor. Maximum enrollment, 20. The Department.
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3.00 Credits
An introduction to solving optimization problems involving linear functions subject to linear constraints (linear programming). Topics include the simplex method, duality theory, game theory and integer programming. Features applications to economics, computer science and other areas. (Quantitative and Symbolic Reasoning.) Prerequisite, 224. Cockburn.
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3.00 Credits
Topics include enumeration, design theory and error correcting codes. Enumeration theory covers methods of counting objects with a given description (used to compute probabilities and to estimate computer program running times). Design theory covers methods for creating collections of sets meeting given criteria (used in experimental design). Error correcting codes covers how small errors can be identified and corrected (used in MP3 players, DVDs, cable TV). Prerequisite, 224. Boutin.
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3.00 Credits
Theory and applications of differential equations, including first-order equations, second-order linear equations, systems of equations, and qualitative and numerical methods. (Oral Presentations.) Prerequisite, 114, 115 or 215, and 224. Maximum enrollment, 24. Dykstra.
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3.00 Credits
An introduction to the principles and methods of applied statistics. Topics include exploratory data analysis, sampling distributions, confidence intervals, hypothesis testing, regression analysis, analysis of variance and categorical data analysis. Extensive reliance on authentic data and statistical computer software. (Quantitative and Symbolic Reasoning.) Prerequisite, 113 or departmental placement. Maximum enrollment, 25. The Department.
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3.00 Credits
An introduction to knot theory. Topics include classification of different types of knots, the relations between knots and surfaces, and applications of knots to a variety of fields. (Quantitative and Symbolic Reasoning.) Prerequisite, 224. Bedient.
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3.00 Credits
An introduction to analysis. Topics include sequences, series, continuity and metric spaces. (Writing-intensive.) Prerequisite, 114 or 215, and 224. Maximum enrollment, 20. Kantrowitz (fall), Cockburn (spring).
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3.00 Credits
An introduction to the three fundamental structures of abstract algebra: groups, rings and fields. (Writing-intensive.) Prerequisite, 224. Maximum enrollment, 20. Redfield (fall), Boutin (spring).
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3.00 Credits
An introduction to cryptography, the study of enciphering messages. Topics covered include symmetric key cryptosystems, public key cryptosystems and primality testing. Prerequisite, 325 or consent of instructor. Cockburn.
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3.00 Credits
A continuation of 235, with emphasis on techniques for studying nonlinear dynamical systems. Topics include equilibria in nonlinear systems, bifurcations, limit sets, the Poincare-Bendixon theorem, strange attractors, discrete dynamical systems and symbolic dynamics. Prerequisite, 235 and 314. LeMasurier.
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