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Course Criteria
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3.00 Credits
Prerequisite: MA 181. Logic, sets, proof techniques, relations, functions, and real number systems.
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3.00 Credits
Prerequisite: MA 301. Euclid.s axioms, incidence geometry, logic, Hilbert.s axioms, neutral geometry, history of the parallel postulate, non-Euclidean geometry and its philosophical implications.
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3.00 Credits
Prerequisite: MA 301. A writing course with an emphasis on proofs. Groups, rings and fields.
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3.00 Credits
Prerequisite: MA 182. Systems of linear equations, vectors, matrices, vector spaces, linear transformations, determinants, eigenvalues and eigenvectors, and applications.
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3.00 Credits
Prerequisite: MA 182. First-order linear and separable equations, second-order homogeneous and non-homogeneous equations, first-order systems, and Laplace transforms. Analytic, qualitative, and numerical techniques are used when appropriate.
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3.00 Credits
Prerequisite: MA 283. Probability, basic combinatorics, independence, discrete and continuous random variables, probability distributions, probability densities, expected values, joint random variables, introductory descriptive and inferential statistics.
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3.00 Credits
Prerequisite: MA 301. Fundamental topics within discrete mathematics including permutations, combinations, binomial theorem, inclusion-exclusion, mathematical induction, recursion, iteration, relations, functions, and other selected topics.
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3.00 Credits
MA 113 and one additional mathematics course numbered above MA 113. To prepare education majors to teach mathematics at the middle school or secondary level, this problem-based course will examine topics from the secondary school mathematics framework from an advanced perspective. This course is required for the mathematics secondary education major and cannot be used as an upper-level elective for the mathematics major or mathematics minor.
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3.00 Credits
Prerequisite: Admission to Teacher Education Program. Required of all mathematics majors who will be licensed in secondary mathematics. Brief history of mathematics, objectives of the teaching of mathematics, consideration of topics that are or should be included in mathematics courses for junior and senior high school, a survey of instruction and technology in mathematics, and the use of these teaching techniques in specific teaching-learning activities. A minimum of ten hours of field experience beyond observation is required. This course is required for the mathematics secondary education major and cannot be used as an upper-level elective for the mathematics major or mathematics minor.
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3.00 Credits
Prerequisites: MA 305, 306 and proficiency with a computer programming language. Selected topics from numerical solutions of equations, interpolation, approximation, numerical differentiation, numerical solution of systems of equations, and numerical solutions of differential equations.
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