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Course Criteria
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6.00 Credits
Fulfills Quantitative Literacy requirement. Limits, continuity, differentiation, anti-differentiation, definite integrals, transcendental functions, formal integration, and application to physical, natural and engineering sciences. Prerequisite: MTH 134 (or adequate competence as determined by the mathematics placement tests). Offered As Needed.
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3.00 Credits
This course is an introduction to linear algebra. Topics covered include systems of linear equations, vector spaces and subspaces, dimension of vector spaces, linear transformations and eigenvalues. The interrelationship between these concepts is emphasized. An attempt is made to provide motivation for abstract ideas by presenting them as natural generalizations of familiar geometric concepts. Prerequisite: A grade of a C or better in MTH 144 or equivalent. Offered As Needed.
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6.00 Credits
Polar coordinates, infinite sequences, series, vector algebra and geometry, two and three dimensional vector algebra, calculus of functions of several variables, vector differential calculus lines and surface integrals. Prerequisite: A grade of a C or better in MTH 145. Offered As Needed.
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3.00 Credits
Study of a variety of discrete mathematical systems. Introduction to mathematical logic and its applications; sets, relations, and functions; combinatorics; discrete number systems; induction, recursion and generating functions; graph theory; lattices and boolean algebra. Prerequisite: MTH 144. Offered As Needed.
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3.00 Credits
Ordinary equations of the first, second and higher orders; linear differential equations with constant coefficients; applications in physics and geometry. Solutions of linear systems of ordinary differential equations. Prerequisite: MTH 145. Offered As Needed.
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3.00 Credits
A course that teaches students how to read and construct proofs as they are typically presented in the textbook, journal articles, and other mathematical literature, at the appropriate level. Prerequisites: MTH 145 and MTH 264. Offered As Needed.
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6.00 Credits
Introduction to theory of groups, rings, ideals, integral domains and fields; vector spaces, matrices and determinants. Prerequisite: MTH 145 and upper division status. Offered As Needed.
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3.00 Credits
An introduction to the secondary school curriculum and pedagogical implications for teaching mathematics. Topics include developing lesson plans, exploring assessment techniques, and special learning techniques. Includes lectures, field experience, the role of technology as a teaching resource and classroom tool, and classroom management issues. Prerequisite: Upper division status. Offered As Needed.
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3.00 Credits
Historical background, transformational geometry: mapping and transformation, synthetic plane geometry: Mobius and hyperbolic geometry, other geometries: projective geometry, pseudo geometry, universal and multidimensional projective geometry. Prerequisites: MTH 145 and MTH 264 and upper division status. Offered As Needed.
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6.00 Credits
A rigorous study of calculus, sequence, real number system, functions, limits, continuity, ?differentiation, integration, infinite series. Prerequisite: MTH 255 and upper division status. Offered As Needed.
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