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Course Criteria
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1.00 - 3.00 Credits
Prerequisite: MATH 126 and permission of instructor. **EFFECTIVE FALL 2010** Prerequisite: Math 136 and permission of instructor. Varied topics selected to give students an early introduction to interesting mathematical problems or applications not found in the foundation sequence.
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1.00 Credits
Prerequisite: Ogden Research Scholar, or 3.2 grade point average at the end of freshman year or OCSTH faculty member recommendation. To familiarize Ogden Research Scholars and other interested students with the fundamentals of choosing a research topic, performing a bibliographical search on a subject, classification of instruments, data taking, data reduction, professional ethics and related topics. The common points of research methodology in the different scientific areas will be emphasized, with examples drawn from various disciplines. Computers will be utilized. (Course does not count toward any major or minor.)
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3.00 Credits
Prerequisite: MATH 136 In-depth study of mathematical topics used in teaching pre-calculus and transition-to-calculus courses at the middle and secondary school levels. Modeling with linear, exponential, and trigonometic functions; curve fitting; discrete and continuous models.
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3.00 Credits
Prerequisite: MATH 227 or MATH 232. **EFFECTIVE FALL 2010 Prerequisite: MATH 137 Theory and computer implementation of mathematical models. Deterministic, stochastic, discrete, continuous, and matrix models. Introduction to advanced topics such as linear algebra, differential and difference equations, probability, stochastic processes, and dynamical systems.
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3.00 Credits
Prerequisite: MATH 136 and PHIL 215 or EE 180 with grade of "C" or better. Systems of linear equations, matrix algebra, vector spaces, inner product spaces, linear transformations, eigenvectors, quadratic forms.
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3.00 Credits
EFFECTIVE FALL 2009 Prerequisite: MATH 206 Conceptual development of rational number system, including operations with and relationships among fractions, decimals, and percents; elementary probability and statistics.
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3.00 Credits
Prerequisite: MATH 227 or MATH 232. **EFFECTIVE FALL 2010** Prerequisite: MATH 137 Introduction to discrete topics. Development of skills in abstraction and generalization. Set theory, functions and relations, mathematical induction, elementary propositional logic, quantification, truth tables, validity; counting techniques, pigeonhole principle, permutations and combinations; recurrence relations and generating functions; elementary graph theory, isomorphisms, trees.
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3.00 Credits
Prerequisite: MATH 307. A study of the arithmetic of the integers, divisibility, prime numbers, factorization, diophantine equations, congruences, quadratic residues.
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3.00 Credits
Prerequisites: MATH 307 and MATH 310. Introduction to groups, rings, polynomial rings, integral domains, and fields.
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3.00 Credits
Prerequisite: MATH 307 or permission of instructor. Beginning with a re-examination of elementary Euclidean geometry, the course includes a study of absolute plane geometry and the parallel postulate, which leads to an axiomatic treatment of hyperbolic geometry and related topics.
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