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Course Criteria
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3.00 Credits
Descriptive statistics, probability distributions, confidence intervals, hypothesis testing, regression, correlation, Chi-square tests and analysis of variance.
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3.00 Credits
This is a study of linear, polynomial, rational, exponential, logarithmic, and trigonometric functions from symbolic, graphical, and numerical perspectives. Topics include algebraic and analytic properties of functions; sums, differences, products, quotients, and composites of functions; inverse functions; and functions as models.
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4.00 Credits
Limits and continuity. Transcendental functions. The derivative, techniques of differentiation, and applications of the derivative. Parametric equations. The definite integral, numerical integration, antiderivatives, and method of substitution.
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4.00 Credits
Numerical integration, applications of the definite integral, techniques of integration, and improper integrals. Taylor polynomials. Sequences and series. Polar coordinates. Pre-requisite: MATH 170.
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3.00 Credits
Logic, methods of proof, mathematical induction, algorithmic thinking, recursion, set theory, functions and relations. Emphasis on proof-writing.
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3.00 Credits
Axiomatic development of propositional calculus, functional complete sets of operators, axiomatic development of the first order function calculus, the existential operator, the algebra of logic.
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3.00 Credits
Concepts necessary for understanding the structure of arithmetic and its algorithms (with whole numbers, integers, fractions and decimals), number patterns, and introductory probability and statistics.
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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, and coordinate geometry. Use of computer software to explore geometric concepts.
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3.00 Credits
Geometry of 2- and 3-dimensional space. Systems of linear equations. Matrices and matrix arithmetic. Determinants, linear transformations, Eigen values and Eigen vectors, quadratic forms. Pre-requisite: MATH 180.
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3.00 Credits
Concepts necessary for understanding the structure of arithmetic, its algorithms and properties (with whole numbers, integers, rational and irrational numbers), basic set theory and introductory number theory.
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