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Course Criteria
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3.00 Credits
Prerequisite: MATH 233. Multiplicativity and divisibility, congruences, arithmetic functions, primes, quadratic residues, addibility, generating functions, partitions, geometric number theory, ruler and compass constructions, and special topics.
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3.00 Credits
Prerequisite: MATH 233. Sets and functions, continuity, integration, convergence, differentiation, and applications to geometry and analysis, differential geometry, and vector calculus.
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3.00 Credits
Prerequisite: MATH 233. Random variables, conditional probability and stochastic independence, special distributions.
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3.00 Credits
Prerequisite: MATH 355. Estimations, order statistics, limiting distributions, statistical hypotheses, variance, normal distribution theory, point and interval estimation, sampling, regression and correlation.
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3.00 Credits
Prerequisite: MATH 233. Introduction to differential equations, first-order differential equations, higher-order differential equations, series solutions of linear equations, the Laplace transform and systems of linear first-order differential equations.
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3.00 Credits
Prerequisite: MATH 368. Introduction, linear systems, fixed points, Lyapunov function, Lyapunov's method, periodicity and chaos, the Poincare-Bendixon theorem, the Hoph bifunction, fractals and Cantor set..
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3.00 Credits
Prerequisite: MATH 233. Algebra of vectors, differential vector calculus, differential geometry, integration, static and dynamic applications, tensor analysis. Riemannian geometry, applications of tensor analysis.
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3.00 Credits
Prerequisite: MATH 233. Basic notions, triangles and quadrangles, duality principle, fundamental theorem and theorem of Papus, Desarguesian figures, projectives, polarities, conics, finite planes, parallelism, coordinates. (A general sequence of synthetic and analytic projective geometry.)
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3.00 Credits
Prerequisite: MATH 233. Summation of series, evaluation of expressions, equation solvability, systems of linear equations, interpolation, numerical integration and differentiation, ordinary differential equations, matrix algebra, eigenvalues and eigenvectors, partial differential equations.
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3.00 Credits
Prerequisite: Departmental approval. A study of recent curricular changes of interest to the prospective teacher, special problems including lessons and teachable units will be emphasized in three major areas: teaching the number system, teaching algebraic principles, and teaching geometry in the grades.
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