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MATH 3130: Analytical Geometry And Calculus III
3.00 Credits
Northwestern State University of Louisiana
Functions of many variables; vectors and their properties; partial differentiation; optimization of functions of many variables; multiple integration. Prerequisite: 2110.
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MATH 3140: Analytical Geometry And Calculus IV
3.00 Credits
Northwestern State University of Louisiana
Parameterized curves and surfaces, vector fields, line integrals. Green's theorem, flux integrals, divergence and curl, divergence theorem, Stokes' theorem. Prerequisite: MATH 3130.
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MATH 3150: Theory of Probability
3.00 Credits
Northwestern State University of Louisiana
Introductory concepts; elementary principles of the theory of probability; dependence; expectation; binomial distribution; other distribution functions; applications. Prerequisite: 3090.
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MATH 3160: Ordinary Differential Equations
3.00 Credits
Northwestern State University of Louisiana
First order equations; systems of first order equations; linear systems, forcing and resonance, nonlinear systems, discrete dynamical systems. Prerequisite: 2110.
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MATH 4050: Mathematics Contentand Concepts
3.00 Credits
Northwestern State University of Louisiana
Aproblem solving approach to develop understanding of the tasks included in the five strands of high school and middle schoolmathematics. Prerequisite: 2110 or consent of instructor.
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MATH 4060: Theory of Numbers
3.00 Credits
Northwestern State University of Louisiana
Foundations of the number system; repeating decimals; congruences; diophantine equations; continued fractions; quadratic residues. Prerequisite: 3090.
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MATH 4070: History of Mathematics
3.00 Credits
Northwestern State University of Louisiana
History of the number system and development of the subject matter of arithmetic, algebra, and geometry on the elementary and secondary level; contributions of trigonometry, analytic geometry, and calculus. Prerequisite: 2100.
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MATH 4100: Discretemathematics
3.00 Credits
Northwestern State University of Louisiana
Graphs; applications of graphs; Markov chains.
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MATH 4100 - Discretemathematics
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MATH 4110: Modern Algebra II
3.00 Credits
Northwestern State University of Louisiana
Arithmetic in integral domains; unique factorization domains; groups; subgroups and LaGrange's theorem; isomorphisms and homomorphisms of groups; normal subgroups and quotient groups; field extensions; algebraic extensions; splitting fields; Galois theory. Prerequisite 3100.
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MATH 4130: Topics in Game Theory
3.00 Credits
Northwestern State University of Louisiana
Zero sum games; strategies; infinity games; utility theory; N-Person games; indices of power; bargaining sets. Prerequisite: 3150.
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