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MATH 401: Real Analysis
3.00 Credits
Grambling State University
Reviews convergence theorems; Lebesgue integral and Fubini's theorem; elements of normed linear spaces and isomorphism; Banach and Hilbert spaces; and Fourier analysis. Prerequisite: A grade of "C" or higher in MATH 301.
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MATH 401 - Real Analysis
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MATH 403: Differential Equations
3.00 Credits
Grambling State University
Examines types and origin of differential equations; techniques of solving first order differential equations; orthogonal trajectories in Cartesian and Polar Coordinates; applications of firstorder linear and non-linear differential equations; systems of linear and non-linear equation; techniques of solving higher order linear differential equations (both homogeneous and nonhomogeneous); Cauchy-Euler Equation. Prerequisite: A grade of "C" or higher in MATH 345.
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MATH 403 - Differential Equations
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MATH 404: Fundamental Concepts of Mathematics
3.00 Credits
Grambling State University
Explores the axiomatic method; theory of sets; the linear continuum; groups; early developments; Frege-Russell Thesis; institutionalism; and formalism. Prerequisite: A grade of "C" or higher inMATH 323.
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MATH 404 - Fundamental Concepts of Mathematics
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MATH 405: History of Mathematics
3.00 Credits
Grambling State University
Reviews development of concepts, symbols and operations in arithmetic, algebra, and geometry. Also topics on the significance of history in the teaching and learning of mathematics.
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MATH 405 - History of Mathematics
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MATH 407: Vector Analysis
3.00 Credits
Grambling State University
Reviews basic vector operations; vector differentiation and integration with applications to selected topics in geometry and physics. Prerequisite: A grade of "C" or higher inMATH 201.
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MATH 407 - Vector Analysis
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MATH 409: Research in Mathematics
3.00 Credits
Grambling State University
Provides opportunity for students to pursue independent work. Purpose is to provide the depth in a chosen area of interest to the student. Prerequisite: A grade of "C" orhigher in Math 201 and consent of Dept Head.
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MATH 409 - Research in Mathematics
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MATH 410: Modern Math for Secondary School Teachers
3.00 Credits
Grambling State University
Is designed for basically inservice teachers. Topics discussed are taken from three main areas: arithmetic, algebra, and geometry. Prerequisite: A grade of "C"or higher in MATH 316 or consent of the department head.
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MATH 410 - Modern Math for Secondary School Teachers
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MATH 418: Intro to Theory of Numbers
3.00 Credits
Grambling State University
Examines divisibility of integers; congruence; quadratic residues; distribution of primes; continued fraction; and theory of ideals. Prerequisite: A grade of "C" or higher inMATH 153 and Math 221.
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MATH 418 - Intro to Theory of Numbers
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MATH 420: Selected Topics in Mathematics II
3.00 Credits
Grambling State University
Studies multiple integration in dimension; Jacobian and change of variables in multiple integrals; Improper special functions (Beta, Gamma), Stirling's formula; Lagrange'smultipliers; generating function and Laplace transforms; difference equations; introduction to partial differential equations. Prerequisites: A grade of "C" or higher inMATH 201, 320, and MATH 403.
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MATH 421: Numerical Methods I
3.00 Credits
Grambling State University
Reviews roots of polynomials and transcendental equations; theory of polynomial equations; roots of polynomials using synthetic division and deflating polynomials; computations of functions using Taylor series; Interpolation and curve fitting; Numerical differentiation and integration; Introduction to solving set of equations; matrix notation; Gauss and Gauss- Jordan methods. Prerequisites: A grade of "C"or higher in MATH 201 and knowledge of a programming language.
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MATH 421 - Numerical Methods I
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