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MAT 431: Advanced Engineering Mathematics II
3.00 Credits
University of Southern Mississippi
3 hrs. Prerequisite: MAT 430. Vector calculus and an introduction to complex variables with emphasis on integral theorems and integration (Does not count as an upper-level mathematics elective.)
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MAT 431 - Advanced Engineering Mathematics II
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MAT 436: Theory of Functions of a Complex Variable
3.00 Credits
University of Southern Mississippi
3 hrs. Prerequisite: MAT 280, 326, and 340. Complex numbers and functions, limits, continuity, differentiation, analytic functions, branches, contour integration, and series
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MAT 436 - Theory of Functions of a Complex Variable
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MAT 437: Graph Theory
3.00 Credits
University of Southern Mississippi
3 hrs. Prerequisite: MAT 326 and 340. An introduction to graphs and a sampling of their numerous and diverse applications
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MAT 437 - Graph Theory
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MAT 439: Combinatorics
3.00 Credits
University of Southern Mississippi
3 hrs. Prerequisites: MAT 169, 326, and 340. Counting and enumeration techniques, inversion formulas and their applications, and counting schemata relative to permutations of objects
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MAT 439 - Combinatorics
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MAT 441: Advanced Calculus I
3.00 Credits
University of Southern Mississippi
3 hrs. Prerequisites: MAT 280, 326, and 340. Point set theory, sequences, continuity, uniform continuity, limits, mean value theorems and L'Hospital's rule
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MAT 441 - Advanced Calculus I
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MAT 442: Advanced Calculus II
3.00 Credits
University of Southern Mississippi
3 hrs. Prerequisite: MAT 441. Riemann integration, Taylor's theorem, improper integrals, infinite series and uniform convergence
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MAT 442 - Advanced Calculus II
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MAT 457: Methods in Mathematics-Secondary
3.00 Credits
University of Southern Mississippi
3 hrs. Prerequisites: CIS 313, MAT 280, 285, 326, and 340, PSY 374. A course designed to give the students a knowledge of the objectives, curriculum problems and organization and methods of teaching secondary school mathematics (Does not count as an upper-level mathematics elective.)
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MAT 457 - Methods in Mathematics-Secondary
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MAT 457L: Methods in Mathematics-Secondary Laboratory
1.00 Credits
University of Southern Mississippi
1 hr. Corequisite: MAT 457. A practicum with a minimum of 15 contact hours in a school setting (Does not count as an upper-level mathematics elective.)
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MAT 457L - Methods in Mathematics-Secondary Laboratory
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MAT 460: Numerical Analysis I
3.00 Credits
University of Southern Mississippi
3 hrs. Prerequisites: MAT 280, 326, and knowledge of a programming language. Methods of solving equations and systems of equations, error analysis and difference equations
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MAT 460 - Numerical Analysis I
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MAT 461: Numerical Analysis II
3.00 Credits
University of Southern Mississippi
3 hrs. Prerequisites: MAT 285 and 460. Interpolating polynomials, numerical differentiation and integration, numerical solutions of differential equations, and roundoff error
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MAT 461 - Numerical Analysis II
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