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Course Criteria
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3.00 Credits
3 semester hours Topics include systems of linear equations, matrices, determinants, vector spaces, subspaces, bases, dimension, eigenvalues and eigenvectors, inner products, and linear transformations. Prerequisite: MTH2220.
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3.00 Credits
3 semester hours This course serves as a continuation of MTH3240, Probability and Statistics I. Topics include: continuous random variables, continuous distributions, bivariate and multivariate distributions, covariance, correlation, moment-generating functions, and the Central Limit Theorem. Prerequisite: MTH3240.
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3.00 Credits
3 semester hours Logic, Boolean algebra, groups and homomorphisms, graph theory, machine design, theory of automata, Turingmachines, computability, and formal language theory. Prerequisite: MTH2220.
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3.00 Credits
3 semester hours Topics include mathematical modeling, graphical solutions, techniques for solving first order differential equations, Euler's method, homogeneous constant coefficient linear equations, nonhomogeneous linear equations and their solutions, and Laplace transformations. Prerequisite: MTH2230.
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3.00 Credits
3 semester hours A study of finite and non-Euclidean geometries froman axiomatic viewpoint, convexity, constructions, and modern Euclidean geometry. Prerequisite: MTH2230 or consent of department.
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3.00 Credits
3 semester hours The development of mathematics from the early Babylonian, Greek, and Arabic mathematics to the modern mathematics of the last 300 years; the development of numeration, geometry, algebra, and the calculus. Highly recommended for students in secondary education. Prerequisite: MTH2220 or MTH2120.
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3.00 Credits
3 semester hours The use of the computer in solving mathematical problems: roots of algebraic equations, nonlinear equations, numerical integration, differential equations, curve fitting, error analysis, iterative processes, non-linear equations, and numerical methods in linear algebra. Prerequisites: MTH2230, CSC1500, and CSC1600.
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4.00 Credits
4 semester hours This course presents techniques that are effective in teaching in the content areas. The course includes lesson planning, classroomarrangement, curriculumdesign, alternative teaching strategies, and evaluation. In addition to the classroom hours there is a simultaneous practicum. This is usually the last course the student takes prior to student teaching. (Fall) Prerequisites: Acceptance into the College of Education including passing the Basic Skills Test, maintaining a GPA of 3.00, passing a background check, and EDU2200 and EDU2260. Placement applications for the practicum are due to the College of Education placement coordinator the January before the academic year of the practicum or for transfer students upon acceptance into the College of Education.
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3.00 Credits
3 semester hours Theory of mathematical induction, divisibility theory, prime numbers and their distribution, theory of congruences and modular arithmetic, Fermat's theorem, and number theoretic functions and their applications. Prerequisite: MTH3210 or consent of department.
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3.00 Credits
3 semester hours Topics include equivalence relations, groups, subgroups, cyclic groups, permutation groups, isomorphisms, cosets, external direct products, normal subgroups, factor groups, group homomorphisms, rings, and integral domains. Prerequisite: MTH3210 or MTH3250 or consent of department.
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