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MATH 341: Introduction to Number Theory
3.00 Credits
Jackson State University
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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MATH 341 - Introduction to Number Theory
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MATH 351: Advanced Calculus
3.00 Credits
Jackson State University
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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MATH 351 - Advanced Calculus
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MATH 355: Introduction to Probability and Statistics
3.00 Credits
Jackson State University
Prerequisite: MATH 233. Random variables, conditional probability and stochastic independence, special distributions.
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MATH 355 - Introduction to Probability and Statistics
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MATH 356: Introduction to Mathematical Statistics
3.00 Credits
Jackson State University
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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MATH 356 - Introduction to Mathematical Statistics
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MATH 368: Ordinary Differential Equations
3.00 Credits
Jackson State University
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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MATH 368 - Ordinary Differential Equations
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MATH 369: Introduction to Dynamical Systems
3.00 Credits
Jackson State University
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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MATH 369 - Introduction to Dynamical Systems
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MATH 371: Vector and Tenor Analysis
3.00 Credits
Jackson State University
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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MATH 371 - Vector and Tenor Analysis
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MATH 381: Protective Geometry
3.00 Credits
Jackson State University
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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MATH 381 - Protective Geometry
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MATH 385: Numerical Analysis
3.00 Credits
Jackson State University
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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MATH 385 - Numerical Analysis
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MATH 401W: Arithmetic for Children
3.00 Credits
Jackson State University
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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MATH 401W - Arithmetic for Children
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