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MATH 4300: Number Theory
3.00 Credits
Auburn University at Montgomery
Pr., MATH 2660. Mathematics of the integers, divisibility, primes, unique factorization, congruences and residues, Dio- phantine problems and number theoretic functions.
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MATH 4300 - Number Theory
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MATH 4310: Modern Algebra I
3.00 Credits
Auburn University at Montgomery
Pr., MATH 2660. An introduction to algebraic structures. Binary operations, groups, subgroups, groups of permutations, cyclic groups, normal subgroups, quotient groups, homomorphisms and isomorphisms, rings, integral domains, fields.
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MATH 4310 - Modern Algebra I
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MATH 4320: Modern Algebra II
3.00 Credits
Auburn University at Montgomery
Pr., MATH 4310. A continuation of MATH 4310. Ideals and quotient rings, ring homomorphisms, rings of polynomials, factorization, Euclidean rings, extension fields, selected additional topics.
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MATH 4320 - Modern Algebra II
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MATH 4400: Mathematical Models and Simulations
3.00 Credits
Auburn University at Montgomery
Pr., MATH 2660, knowledge of a computer programming language. Use of models and simulation for solving problems in applied mathematics. Techniques of setting up, solving, and interpreting models as well as an introduction to selected standard models.
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MATH 4400 - Mathematical Models and Simulations
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MATH 4470: Foundations of Plane Geometry
3.00 Credits
Auburn University at Montgomery
Pr., MATH 1620. Axiomatic devel- opment of plane geometry. Emphasis on the development of proofs by students.
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MATH 4470 - Foundations of Plane Geometry
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MATH 4500: Topology
3.00 Credits
Auburn University at Montgomery
Pr., MATH 2630, permission of instructor. Metric spaces, continuity, sequences, equivalent metrics, topological spaces and homeo- morphisms, products, connectedness and compactness. Offered when there is sufficient demand.
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MATH 4500 - Topology
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MATH 4600: Numerical Analysis I
3.00 Credits
Auburn University at Montgomery
Pr., MATH 2660, significant fluency in a pro- gramming language, familiarity with FORTRAN. Number systems and error propagation, solutions of nonlinear equations, acceleration of convergence, polynomial and spline interpolation, numerical integration and differentiation, efficient direct solution of systems of linear equations, PLU factorization of matrices, and matrix norms and condition numbers.
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MATH 4600 - Numerical Analysis I
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MATH 4610: Numerical Analysis II
3.00 Credits
Auburn University at Montgomery
Pr., MATH 4600. Iterative solutions of large systems of linear equations, numerical solutions of eigenvalue problems for linear systems, numerical solutions of boundary value problems for ordinary differential equations, numerical solution of systems of ordinary differential equations and least square approximation. Offered when there is sufficient demand.
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MATH 4610 - Numerical Analysis II
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MATH 4670: Mathematical Statistics I
3.00 Credits
Auburn University at Montgomery
Pr., MATH 2630. Basic probability theory, combinatorics, random variables, special distributions, and applications to scientific and engineering data.
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MATH 4670 - Mathematical Statistics I
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MATH 4680: Mathematical Statistics II
3.00 Credits
Auburn University at Montgomery
Pr., MATH 4670. A continuation of MATH 4670 Mathematical Statistics I. Moment-generating functions and the use of moments, Central Limit Theorem, derivation of probability density func- tions of sample statistics, sampling, estimation and hypothesis testing, and correlation and regression. Offered when there is sufficient demand.
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MATH 4680 - Mathematical Statistics II
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