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Course Criteria
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4.00 Credits
Prerequisite: Permission of instructor. Topics in number theory. Divisibility, unique factorization, linear congruences, Chinese remainder theorem, Fermat's theorem, Wilson's theorem, and Euler'theorem. (Fall Semester)
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4.00 Credits
Prerequisite: MATH 126 with a minimum grade of "C" or placement test . Intuitive limits,derivatives, graphing, maximum/minimum problems, antiderivatives, definite integrals, area, applications to natural and social science. (Spring Semester)
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4.00 Credits
Prerequisite: MATH 151 with a minimum grade of "C" . Applications and techniques ofintegration, limits, continuity, series, ordinary differential equations, mean value theorem. (Fall Semester)
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4.00 Credits
Prerequisite: MATH 252 with a minimum grade of "C" . Vectors in n-space, curves and surfaces,partial derivatives, gradient, directional derivatives, line integrals, multiple integrals, Green's theorem, divergence and rotation, surface integrals, curl and divergence, divergence theorem. Stokes' theorem, maximum and minimum, generalized Taylor's formula. (Spring Semester)
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3.00 Credits
Prerequisite: MATH 126 or equivalent with a minimum grade of "C" . Introduction to andapplications of discrete structures, including elementary topics in set theory, recursion, matrices, relations, relational algebra, trees, and grammars. (Fall Semester)
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4.00 Credits
Prerequisite: Precalculus proficiency on math placement test or MATH 126 with a minimum grade of "C" . Systems of linear equations, matrices, determinants, vectors and vector arithmetic, generalvector spaces, bases and dimensions, linear transformations and their matrices, change of bases, similarity, eigenvalues and eigenvectors, diagonalization. (Spring Semester)
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1.00 - 4.00 Credits
Topics of interest to students and instructor will be explored. (Offered as needed)
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1.00 - 3.00 Credits
Study on an independent basis in collaboration with the instructor on a topic in mathematics at the lower division level. (Offered as needed)
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33.00 Credits
Prerequisites: CPTR 150 and MATH 129 or MATH 280 with a minimum grade of "C" . Firstsemester: Propositional and predicate logic, including both syntax (formal language specification and proof methods) and semantics (models and truth-value assignments); elementary computer applications including Boolean algebra and introduction to Prolog. Second semester: Axiomatic approach to Euclidean and non-Euclidean geometries, including hyperbolic geometry and the models proposed by Lobachevsky, Klein, and Poincare; philosophical exploration of the relationship between mathematical theories and reality. Credit may be earned for only one department listing. (Fall Semester, odd years; Spring Semester, even years)
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3.00 Credits
Prerequisite: MATH 260. MATH 288 recommended. Elementary methods for solving first order and linear second order differential equations. Series solutions, Laplace transform methods, systems of differential equations, and numerical methods. Applications. (Fall Semester, odd years)
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