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Course Criteria
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4.00 Credits
Prerequisite: MATH 113. Covers linear systems and matrices, determinants, vector spaces, linear transformations, eigenvalues and eigenvectors, and orthogonality-all with an applied emphasis. Topic emphasis may vary from year to year.
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3.00 Credits
Prerequisite: MATH 312. Presents advanced solution techniques for ordinary differential equations including the method of Frobenius, the transform, phase plane analysis, and eigenfunction expansions. Also examines partial differential equations in the context of boundary-value problems for the heat, wave, and potential equations.
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4.00 Credits
Prerequisite: MATH 113 and COMP 101. Covers logic, recursion, induction and basic data models. Surveys combinatorics and the theory of algorithms with attention to design analysis and verification techniques.
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4.00 Credits
Prerequisites: MATH/COMP 305. Discusses algorithm design in the context of graph theory. Introduces automata and formal languages. Covers logic, computability, artificial intelligence and robotics.
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3.00 Credits
Prerequisite: MATH 301 consent of instructor. Deals with the fundamentals of synthetic and modern geometry. Covers topics in non-Euclidean geometry as well as topics in Euclidean geometry, such as finite geometry, space geometry, constructions, and solid geometry.
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4.00 Credits
Prerequisite: MATH 301. Covers vector-valued functions, functions of two and three variables, partial differentiation, as well as multiple, line, and surface integrals; includes a variety of applications.
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3.00 Credits
Prerequisites: MATH 202 or consent of instructor. Focuses on a consideration of applications of mathematics that are within the scope of the elementary (K-8) mathematics curriculum. Examples will be drawn from existing elementary mathematics curriculum projects and be adapted from projects at higher levels. The use of this content will serve to reflect the curriculum changes that have been called for by the Curriculum and Evaluation Standards (NCTM, 1989) and will show how math is responding to the expectation that the curriculum demonstrate greater relevance. Topics to be covered include geometry and technology, measurement, social science applications, business applications, and science applications (especially using probability). Technology will be incorporated as appropriate in all activities.
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3.00 Credits
Prerequisite: junior standing or consent of instructor. Emphasizes the historical development of mathematics during 5,000 years, from primitive counting through set theory. Particularly useful for those teaching mathematics
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3.00 Credits
Prerequisite: MATH 113. Includes discrete and continuous random variables, expectation, moment generating functions, and the limit theorems of probability.
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3.00 Credits
Prerequisite: STAT/MATH 341. Includes Markov chains, Poisson processes, birth and death processes, renewal theory, Brownian motion, and simulation.
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