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Course Criteria
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4.00 Credits
This is the second semester course in the calculus sequence designed for students intending to major in mathematics, natural sciences, and engineering. The topics covered will include the applications of integration of algebraic and trigonometric functions, differentiation and integration of logarithmic and exponential functions, integration techniques, length of a curve, areas of surfaces, inverse trigonometric and hyperbolic functions, improper integrals, L'Hopital's rule, and infinite series.
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3.00 Credits
This course is designed for prospective high school teachers of mathematics. After a quick review of introductory topics in Euclidean geometry, the course will cover advanced topics in Euclidean geometry, and basic topics in non-Euclidean geometry.
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3.00 Credits
This course is an introduction to the development and study of mathematical models. It is designed in such a way that students from other disciplines will find it useful as a summary of modern mathematical methods, and mathematics majors will benefit from applications of mathematics to real life problems. Undergraduate students from the Natural and Social Sciences will find most of the material accessible because the prerequisite is basic calculus.
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3.00 Credits
This course is designed as an elementary introduction to the discrete mathematical structures of computer science. Topics include sets, logic, Boolean algebra, combinatorics, graphs, trees, semigroups, groups, and examples of automata.
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3.00 Credits
The following topics will be covered in this course: vector spaces, subspaces, bases, dimension, linear dependence and independence, linear transformations, matrices, matrix operations, rank equivalence relations, eigenvalues, eigenvectors.
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4.00 Credits
This course is a continuation of MAT 122 including three dimensional Analytic Geometry, Partial derivatives, Multiple integrals, Vector Calculus, and their applications.
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3.00 Credits
Topics include solution methods and applications of first order differential equations, solution of higher order differential equations using the characteristic equation, the undetermined coefficients and variation of parameters methods, existence and uniqueness theorems for initial value problems, Lap lace transforms, systems of linear differential equations.
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3.00 Credits
Set Theory and Logic
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3.00 Credits
This course is a study of strategies, techniques, materials, technology, and current research used in the teaching of mathematical concepts to high school students. Students will review the traditional and contemporary standards involved in teaching mathematics at the secondary school level; develop an awareness of the professional resources, materials, technology and information available for teachers; prepare unit and lesson plans with related assessment procedures on a variety of topics; and acquire teaching experience by taking part in individual tutoring, observation at a high school, and/or presenting lessons at the appropriate level.
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3.00 Credits
Modern computational algorithms for the numerical solution of a variety of applied mathematics problems are considered. Topics include numerical solution of polynomial and transcendental equations, acceleration of convergence, Lagrangian interpolation and least-squares approximation, numerical differentiation and integration.
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