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MATH 428: Advanced Linear Algebra
3.00 Credits
Bowie State University
Prerequisite(s): MATH 232 and MATH 305. Proceeding from a rigorous perspective, we examine the properties of finite dimensional vector spaces over arbitrary fields and the linear transformations that operate between them.
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MATH 428 - Advanced Linear Algebra
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MATH 430: Advanced Calculus I
3.00 Credits
Bowie State University
Prerequisite(s): MATH 232 and MATH 305. This course include a rigorous treatment of the elements of point set topology, sequences and series, continuity, differentiability, Riemann-Stieltjes integration, function sequences, and, time permitting, some special functions and Fourier series.
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MATH 430 - Advanced Calculus I
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MATH 431: Advanced Calculus II
3.00 Credits
Bowie State University
Prerequisite(s): MATH 232 and MATH 305. This course includes a rigorous treatment of the elements of point set topology, sequences and series, continuity, differentiability, Riemann-Stieltjes integration, function sequences, and, time permitting, some special functions and Fourier series.
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MATH 431 - Advanced Calculus II
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MATH 440: Intro to Optimization Theory
3.00 Credits
Bowie State University
Prerequisite(s): MATH 228 and MATH 232. This course offers an introduction to convex analysis, unconstrained optimization in n-dimensional Euclidean space, convex programming and duality. Analysis of two nonlinear algorithms will be studied: Newton's method and the method of steepest descent.
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MATH 440 - Intro to Optimization Theory
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MATH 450: Overview of College Math
3.00 Credits
Bowie State University
Prerequisite(s): MATH 226, 228, 240, 305 and 320. This course consists of a sequence of distinct modules, each devoted to the treatment of a specific fundamental result, principle, or theme in college level mathematics, providing a grand synthesis of the entire undergraduate mathematics curriculum. Topics include: the Fundamental Theorem of Algebra, the Fundamental Theorem of Arithmetic, the Fundamental Theorem of Calculus, the Central Limit Theorem, the Principals of Mathematical Induction, the Five Famous Formulas of College Mathematics, and some famous proofs by contradiction.
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MATH 450 - Overview of College Math
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MATH 460: Numerical Analysis I
3.00 Credits
Bowie State University
Prerequisite(s): MATH 228, MATH 232, MATH 252 and MATH 300. Elements of the theory and application of numerical analysis using computers; solution of linear and nonlinear systems of equations; computation of eigenvalues and eigenvectors; basic approximation theory; interpolation techniques; numerical quadrature; solution of ordinary and partial differential equations. Extensive use of graphing calculator/computer should be expected.
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MATH 460 - Numerical Analysis I
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MATH 461: Numerical Analysis II
3.00 Credits
Bowie State University
Prerequisite(s): MATH 228, MATH 232, MATH 252 and MATH 300. Elements of the theory and application of numerical analysis using computers; solution of linear and nonlinear systems of equations; computation of eigenvalues and eigenvectors; basic approximation theory; interpolation techniques; numerical quadrature; solution of ordinary and partial differential equations will be discussed. Extensive use of graphing calculator/computer should be expected.
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MATH 461 - Numerical Analysis II
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MATH 470: Complex Analysis
3.00 Credits
Bowie State University
Prerequisite(s): MATH 232. This course provides an introduction to the theory and applications of functions of a complex variable. Topics include: complex numbers, analytic and harmonic functions, elementary functions, Cauchy-Riemann equations, contour integration, Cauchy-Goursat theorem, Cauchy's integral formula, series and the residue calculus.
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MATH 470 - Complex Analysis
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MATH 485: General Topology
3.00 Credits
Bowie State University
Prerequisite(s): MATH 305. This course develops the fundamental concepts of general topology. Topics include topological spaces, continuity, homeomorphism, identification topology, quotient spaces, separation axioms, countability axioms, compactness, connectedness, local connectedness, path components, and metrizable spaces.
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MATH 485 - General Topology
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MATH 490: Selected Topics in Mathematics
3.00 Credits
Bowie State University
Prerequisite(s): Written consent of the Instructor. Selected modern developments in pure or applied mathematics are presented.
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MATH 490 - Selected Topics in Mathematics
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