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Course Criteria
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3.00 Credits
Prerequisite: Department approval. Materials and sources of value to prospective teachers of high school, middle school and junior high school mathematics, reports, current articles, stateadopted textbooks, yearbooks and histories, special problems in teaching geometry and algebra.
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3.00 Credits
Prerequisite: Department approval. The provisions to the student of an opportunity to discuss pertinent trends and ideas in mathematics, and to evaluate the experience he has had through study and practice during his previous years of training in mathematics.
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3.00 Credits
Prerequisite: MATH 331 or department approval. Topics in elementary number theory, finite fields, and quadratic residues. Cryptography public key, primality and factoring, elliptic curves.
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3.00 Credits
Prerequisite: MATH 311. Groups rings, integral domains, modules, vector spaces, fields, linear transformations, special topics in group, ring, and field theory.
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3.00 Credits
Prerequisite: MATH 368. Heat equations, Laplace's equation, Fourier series, wave equation, Strum-Liouville eigenvalue problems, nonhomogeneous problems, method of Green's functions, infinite domain problems and the methods of characteristics for wave equations.
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3.00 Credits
Prerequisite: MATH 415. First order partial differential equations and applications, multidimensional partial differential equations, existence and uniqueness, methods of variations, finite difference and finite element numerical methods, use of MatLab in solving partial differential equations.
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3.00 Credits
Prerequisite: MATH 321. Modern elementary geometry, transformations, constructions, projective geometry, non-Euclidean geometries, foundations, analyticity, groups, complex numbers and limit operations, differential geometry, combinatorial topology, n-dimensional geometry and abstract spaces.
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3.00 Credits
Prerequisite: Department approval. Forces shaping today's mathematics programs, teaching for special outcomes, classroom applications.
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3.00 Credits
Prerequisite: MATH 221 or 231. Discrete models, graphs, digraphs, games, Markov chains, recursion, differential equations, probability and statistics, linear algebra, strange attractors, basic applications, computer graphics, optimization, experimental modeling, dimensional analysis and similitude, dynamic systems (chaotic), model fitting, control system, and applications using advanced mathematics.
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3.00 Credits
Prerequisite: MATH 233. Real number system, basics, numerical sequences and series, continuity, differentiation, Reimann-Stieltjes integral, sequences and series of functions, special series, functions of several variables, the Lebesgue theory.
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