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Course Criteria
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1.00 - 3.00 Credits
Offers study of some area of the mathematical sciences in more depth than is possible in the usual classroom setting. Students work on a project under the direction of faculty members. Prerequisite: Department chair and research committee approval. (P/F)
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3.00 Credits
Basic concepts: integers, prime numbers, divisibility, congruencies and residues. Prerequisite: MATH 210 or 306 (both recommended). Three hours per week. Meets General Education IVB or IVC (Prior to Fall 2008: IIIB or IIIC).
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3.00 Credits
Axiomatic development of incidence, ordered incidence, affine and absolute geometries; investigation of Euclidean and non-Euclidean geometries. Prerequisite: MATH 210. Three hours per week. Meets General Education IVB or IVC (Prior to Fall 2008: IIIB or IIIC).
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3.00 Credits
Axioms and algebra of probability, discrete and continuous random variables, multivariate distributions, limit theorems. Prerequisites: MATH 213, 310. Three hours per week.
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3.00 Credits
Methods of estimating, properties of estimator, hypothesis testing, linear models, least squares, analysis of variance, enumerative data, nonparametric statistics. Prerequisite: MATH 413. Three hours per week.
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4.00 Credits
Connection of the undergraduate mathematical curriculum to the secondary mathematics curriculum by examining high school curriculum topics from an advanced and historical perspective. Considers contributions from diverse cultures as students examine the historical development of numbers and number systems, algebra, Euclidean and non-Euclidean geometries, calculus, discrete mathematics, statistics, probability, and measurements. Prerequisite: SCED 373 and MATH 441 or MATH 451. Four hours per week.
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3.00 Credits
Introduction to the theory of groups, rings, integral domains and fields, including basic properties of polynomials. Prerequisite: MATH 210 or 306 (both recommended). Three hours per week. Meets General Education IVB or IVC (Prior to Fall 2008: IIIB or IIIC).
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3.00 Credits
Modern abstract algebra including such topics as rings, polynomials and fields. Other topics may include algebraic coding, Boolean algebras, symmetry and mathematical crystallography, applications of finite fields to computer science. Prerequisite: MATH 441. Three hours per week.
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3.00 Credits
Modern abstract analysis including topology of the real number system, sequences, continuity and differentiability. Prerequisites: MATH 202, 210. Three hours per week.
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3.00 Credits
Modern abstract analysis including such topics as convergence of infinite series, sequences of functions, metric spaces, integration, topology of the real number system and continuity. Prerequisite: MATH 451. Three hours per week.
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