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Course Criteria
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1.00 Credits
An in-depth study of some of the topics covered in Mathematics 223, including the theory of vector spaces, linear transformations, and Euclidean spaces, together with some additional topics, which may include isomorphisms, duality, canonical forms, and applications of linear algebra. This course is irregularly offered. Prerequisite: Mathematics 223 or consent of the instructor. Credits: 1
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1.00 Credits
Advanced-A second course in differential equations, offering study of special topics in more depth or beyond those covered in Mathematics 224. Topics may include existence and uniqueness theory, stability theory, Green's functions, dynamical systems, partial differential equations, and applications of differential equations. This course is offered in the fall semester, 2007-2008 and alternate years.Prerequisite: Mathematics 224 or consent of the instructor. Credits: 1
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1.00 Credits
Advanced-A first course in higher abstract mathematics. Emphasis is placed on writing proofs. Topics include groups, rings, fields, and modules. This course is offered in the spring semester. Prerequisite: Mathematics 223 or consent of the instructor. Credits: 1
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1.00 Credits
Advanced-A first course in higher abstract mathematics. Emphasis is placed on writing proofs. Topics include groups, rings, fields, and modules. This course is irregularly offered. Prerequisite: Mathematics 331. Credits: 1
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1.00 Credits
Advanced-A first course in the foundations of modern analysis. Topics include set theory, the real numbers, the topology of Cartesian spaces, convergence, continuous functions, sequences of continuous functions, the Stone-Weierstrass approximation theorem, differentiation, integration, and infinite series. This course is offered in the fall semester. Prerequisite: Mathematics 223. Credits: 1
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1.00 Credits
Advanced-A first course in the foundations of modern analysis. Topics include set theory, the real numbers, the topology of Cartesian spaces, convergence, continuous functions, sequences of continuous functions, the Stone-Weierstrass approximation theorem, differentiation, integration, and infinite series. This course is irregularly offered. Prerequisite: Mathematics 333. Credits: 1
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1.00 Credits
Advanced-This course will address topics such as numerical solution of non-linear equations in one variable, interpolation, approximation, differentiation, integration, difference equations, differential equations and their applications, boundary value problems, linear systems, matrices, and optimization. This course is offered in the fall semester, 2008-2009 and alternate years. Prerequisite: Consent of instructor. Credits: 1
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1.00 Credits
Advanced-A course to develop mathematical and computational techniques in areas of mathematics or interdisciplinary study in which computation plays a central and essential role. Topics vary by semester but may include computational geometry, computer algebra, scientific computing, and symbolic computation. This course is offered in the fall semester, 2007-2008 and alternate years. Prerequisite: Computer Science 111. Credits: 1
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1.00 Credits
Advanced-A study of elementary topology. Topics discussed will include topologies, separation axioms, connectedness, compactness, continuity, and metric spaces. This course is irregularly offered. Prerequisite: Mathematics 223 or consent of the instructor. Credits: 1
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1.00 Credits
Advanced - Analytic functions, mapping of elementary functions, integrals, residue theory, conformal mapping. This course is irregularly offered. Prerequisite: Mathematics 223 or consent of the instructor. Credits: 1
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