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Course Criteria
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3.00 Credits
A continuation of the study of abstract algebraic structure. Topics include rings, ideals, integral domains, fields, and rings of polynomials.
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3.00 Credits
A study of combinatorics, probability, mathematical expectation, discrete and continuous distributions, bivariate and multivariate distributions, moment-generating functions, the central limit theorem, sampling distributions, estimation and hypothesis testing.
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3.00 Credits
A study of game theory and decision criteria, point and interval estimation, theory and applications of hypothesis testing, non-parametric tests, regression and correlation, analysis of variance and a general introduction to experimental design.
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3.00 Credits
A study of data analysis, statistics, and probability through the collection and interpretation of data. Includes graphical representation of data, experimental and theoretical probabilities, measures of central tendency and variation, interpretation of statistical studies, and making predictions from data. (This course will not count toward a major or minor in mathematics.)
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3.00 Credits
A modern treatment of geometry primarily from the metric approach, but with some reference to the Euclidean Synthetic approach. Topics include parallelism, similarity, area, constructions, non-Euclidean and finite geometries.
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3.00 Credits
A study of the positive integers including divisibility, prime numbers and the theory of congruences. Additional topics may include Fermat’s theorem, the law of quadratic reciprocity, and perfect numbers.
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3.00 Credits
A study of non-linear equations, numerical integration and differentiation and numerical solution of initial value problems in ordinary differential equations.
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3.00 Credits
A study of the nature and historical origin of mathematics including analysis of the concepts of algebra, trigonometry and calculus and solution of problems pointed toward appreciation of early mathematical developments.
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3.00 Credits
A study of graphs, subgraphs, paths, arcs, trees, circuits, digraphs, colorability.
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3.00 Credits
An exploration of topics relevant to the secondary mathematics curriculum using materials, technology, and teaching methods that model current best practices. Teaching and learning strategies will be examined in the context of national, state, and local curriculum standards. A field experience of 45 clock hours is a required component.
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