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MAT 410: Mathematics for Teachers of Junior High School Mathematics
3.00 Credits
University of Southern Mississippi
3 hrs. The real number system and major subsystems, modular arithmetic, patterns, relations and functions, algebraic expressions and equations, counting techniques and probability; selected topics in geometry including coordinate geometry and transformations (Open only to elementary and special education majors.)
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MAT 410 - Mathematics for Teachers of Junior High School Mathematics
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MAT 415: Introduction to Differential Equations II
3.00 Credits
University of Southern Mississippi
3 hrs. Prerequisite: MAT 285, 326, and 340. Systems of linear differential equations, operator methods, approximating solutions, Laplace transforms and power series
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MAT 415 - Introduction to Differential Equations II
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MAT 417: Introduction to Partial Differential Equations
3.00 Credits
University of Southern Mississippi
3 hrs. Prerequisite: MAT 285, 326, and 340. Integrability conditions, quasilinear equations, applications of physics, classification of second order equations and canonical forms, and separation of variables
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MAT 417 - Introduction to Partial Differential Equations
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MAT 418: Linear Programming
3.00 Credits
University of Southern Mississippi
3 hrs. Prerequisite: MAT 326 and 340. Convex sets, linear inequalities, extreme-point solutions, simplex procedure and applications
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MAT 418 - Linear Programming
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MAT 419: Optimization in Mathematical Programming
3.00 Credits
University of Southern Mississippi
3 hrs. Prerequisites: MAT 280 and 418. Selected topics in optimization from linear and nonlinear programming
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MAT 419 - Optimization in Mathematical Programming
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MAT 421: Number Theory
3.00 Credits
University of Southern Mississippi
3 hrs. Prerequisite: MAT 326 and 340. Induction, well-ordering, division algorithm, Euclidean algorithm, Fundamental Theorem of Arithmetic, number theoretic functions and congruences
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MAT 421 - Number Theory
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MAT 423: Modern Algebra I
3.00 Credits
University of Southern Mississippi
3 hrs. Prerequisite: MAT 326 and 340. Elementary notions in groups, Fundamental Theorem of Finitely Generated Groups, permutation groups, quotient groups, isomorphism theorems and applications of transformation groups
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MAT 423 - Modern Algebra I
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MAT 424: Modern Algebra II
3.00 Credits
University of Southern Mississippi
3 hrs. Prerequisite: MAT 423. Survey of standard algebraic systems; rings, integral domains, fields, modules, polynomial rings and fields of quotients
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MAT 424 - Modern Algebra II
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MAT 426: Linear Algebra II
3.00 Credits
University of Southern Mississippi
3 hrs. Prerequisite: MAT 326 and 340. Determinants; polynomials; complex numbers; single linear transformations; orthogonal, unitary and symmetric linear transformations
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MAT 426 - Linear Algebra II
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MAT 430: Advanced Engineering Mathematics I
3.00 Credits
University of Southern Mississippi
3 hrs. Prerequisites: MAT 280 and 285. Introduction to Laplace transforms and Fourier series with emphasis on solving ordinary and simple partial differential equations (Does not count as an upper-level mathematics elective.)
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MAT 430 - Advanced Engineering Mathematics I
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