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Course Criteria
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3.00 Credits
Review of elementary algebra, introduction to analytic geometry, functions and their graphs, logarithmic and exponential functions, polynomial functions. (Meets four hours per week.) (Cr. 3)
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3.00 Credits
Limits, derivatives, curve sketching and applications, antiderivatives and the definite integral. Calculus topics are integrated with a review of pre-calculus topics in context. Completion of the sequence is equivalent to completion of MATH 103. (Meets four hours per week.) (Cr. 3)
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3.00 Credits
Algebraic and geometric aspects of vectors, functions of several variables, partial derivatives and multiple integrals. Prerequisite: MATH 104 or 110. (Cr. 3)
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3.00 Credits
This course focuses on techniques of solving first and second order ordinary differential equations. Methods include separation of variables, variation of parameters, and the Laplace transform. Applications include linear and nonlinear models. Prerequisite: MATH 201 or 209 or permission of instructor. (Cr. 3)
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3.00 Credits
Continuation of MATH 109-110. Fall. Prerequisite: MATH 110. (Cr.3)
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3.00 Credits
An introduction to statistical methods: descriptive statistics, association between two variables, basic probability, discrete random variables, binomial and normal random variables, sampling distribution, confidence intervals, tests of significance. (Cr. 3)
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3.00 Credits
This course will serve as a bridge between introductory and advanced mathematics. The context of set theory and logic will be used to develop the skills of constructing and interpreting mathematical proofs. Topics include principles of logical argument, congruence modulo n, induction, sets, functions, relations, equivalence relations, countability and uncountability of sets. Fall. Prerequisite: MATH 104 or MATH 110, or permission of instructor. (Cr. 3) 215. Linear Algebra. Linear equations and matrices, vector spaces, subspaces, linear independence, bases, dimension, inner product spaces, linear transformations, eigenvalues and eigenvectors, orthogonal matrices and diagonalization. Prerequisites: MATH 213, or permission of instructor. (Cr. 3)
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3.00 Credits
An introduction to the mathematical concepts and techniques most frequently needed in the study of computer science: logic, induction, sets and relations, matrix algebra, and recursion. Fall. Prerequisite: MATH 104, or permission of the chair. (Cr. 3)
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3.00 Credits
Courses for prospective teachers in the elementary school who are not majoring in mathematics. The content and method will follow the current standards of the National Council of Teachers of Mathematics for the elementary level. Topics include tools for problem solving, numeration systems, number theory, geometry, and trigonometry. (Cr. 3, 3)
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3.00 Credits
Review of vector algebra. Vector-valued functions. Divergence and curl. Multiple integrals; different coordinate systems. Line integrals, Green's Theorem, independence of path, conservative force fields. Surface integrals, Divergence Theorem. Stokes' Theorem. Applications. Prerequisite: MATH 201 or 209. (Cr. 3)
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