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Course Criteria
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3.00 Credits
Provides mathematical background and techniques useful to aspects of artistic design in the plane and in space. Essential mathematical concepts and tools applied to solve design problems. Topics include ratio and proportion, similarity, geometric constructions with Euclidean tools and dynamic geometry soft ware, properties of polygons and polyhedra, isometries and other geometric transformations in the plane and space, symmetry, and periodic designs, projections from space onto a plane. Spring. Three 70-minute periods. (F2) Hartshorn
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3.00 Credits
Problem-solving, communication, and reasoning. Topics include estimation, geometry and spatial sense, measurement, statistics and probability, fractions and decimals, patterns and relationships, number systems, number relations, and number theory. Designed for prospective elementary education teachers. A prerequisite for Education 325. Three 70-minute periods. (F2) Staff
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2.00 Credits
Topics include exponential and trigonometric functions and their derivatives, related rates, extremum problems, logarithmic curve sketching, antidifferentiation, the defi nite integral, the fundamental theorem of calculus, area under a curve, and applications to business and economics. The sequence Mathematics 106-166 is equivalent to Mathematics 170; credit may be earned for 106-166 or 170 but not both. Prerequisite: Three years of college-preparatory mathematics and Mathematics 106. Spring. Three 70-minute periods. (F2) Staff
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3.00 Credits
Real numbers and an introduction to analytic geometry. Algebraic functions, logarithmic and exponential functions, trigonometric functions, limits, and continuity. The derivative, theorems on differentiation, applications to related rates and minima-maxima problems, curve-sketching. The differential, the defi nite integral, the fundamental theorem of calculus, fi nding area under a curve. May not be taken for credit by students who have earned credit for Mathematics 106-166. Prerequisite: Three years of college-preparatory mathematics, including plane trigonometry. Three 70-minute periods. (F2) Staff
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3.00 Credits
Applications of the defi nite integral. Trigonometric and inverse trigonometric functions. Techniques of integration of both algebraic and transcendental functions. Parametric equations and curves given in polar coordinates. Indeterminate forms and improper integrals. Separable differential equations. Introduction to infi nite sequences and series. Prerequisite: Mathematics 170 or equivalent sequence 106-166. Three 70-minute periods. (F2) Staff
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3.00 Credits
Special Topics
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3.00 Credits
Infi nite sequences and series. Vectors in the plane and three-space. Parametric equations and space curves. Calculus of functions of more than one variable, including limits, partial derivatives, directional derivatives, multiple integration, and applications. Prerequisite: Mathematics 171. Three 70-minute periods. Hartshorn, Staff
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3.00 Credits
Introduction to mathematical techniques to model and analyze decision problems. Linear programming, including sensitivity analysis and duality, network analysis, decision theory, game theory, queuing theory. Prerequisites: Mathematics 171. Spring. Somers, Staff
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3.00 Credits
Elementary mathematical logic and types of mathematical proof, including induction and combinatorial arguments. Set theory, relations, functions, cardinality of sets, algorithm analysis, basic number theory, recurrences, and graphs. Writing intensive. Prerequisite: Mathematics 171. Fall. Sevilla, Somers
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3.00 Credits
Vector spaces and linear transformations, matrices, systems of linear equations and their solutions, determinants, eigenvectors and eigenvalues of a matrix. Applications of linear algebra in various fi elds. Prerequisite: Mathematics 171. Spring. Schultheis, Sevilla
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