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Course Criteria
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3.00 Credits
Concepts necessary for an understanding of basic geometry: shapes in one, two, and three dimensions, scientific measurement and dimensional analysis, congruence and similarity of figures, compass and straightedge constructions, transformations, coordinate geometry, conjecture and proof, perspective drawing and introductory trigonometry. Use of computer software to explore geometric concepts.
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3.00 Credits
Development of algebraic problem solving, polynomials, linear, quadratic and exponential equations and functions, pattern representation, sequences and series. Use of technology and manipulative materials in the teaching of algebra.
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3.00 Credits
Problem solving, drawing from a wide range of school mathematics topics, logic, combinatorics, and basic probability theory. Prerequisite: MATH 211, MATH 212, MATH 213.
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4.00 Credits
Vectors, lines and planes. Functions of several variables, partial derivatives and applications, gradient and directional derivative. Multiple integrals, line integrals, Green’s Theorem. Pre-requisite: MATH 171
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3.00 Credits
Modeling with ordinary differential equations. Analytical, qualitative, and numerical techniques for first-order equations, first-order nonlinear systems, and linear systems. Pre-requisite: MATH 220.
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3.00 Credits
Vector spaces, bases, linear transformations, change of basis. Eigen values and Eigen vectors. Pre-requisite: MATH 210.
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3.00 Credits
Some of the highlights in the historical development of mathematics with special attention given to the invention of non-Euclidean geometry and its importance for mathematics and Western thought.
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3.00 Credits
Axiom systems, models and finite geometries, convexity, transformations, Euclidean constructions, and the geometry of triangles and circles. Introduction to projective and non-Euclidean geometries.
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3.00 Credits
Divisibility and primes, linear congruences, quadratic residues and reciprocity. Diophantine equations, multiplicative functions, distribution of primes.
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3.00 Credits
Probability, central limit theorem, estimation, hypothesis testing, regression and correlation, nonparametric methods, goodness of fit, linear models.
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