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MATH 430-431: Abstract Algebra
3.00 Credits
James Madison University
3 credits each semester. MATH 430 Offered fall and spring.; MATH 431 Offered spring. An introduction to groups, rings and fields. Prerequisite for MATH 430: MATH 238 or MATH 300 and MATH 245 or consent of instructor. Prerequisite for MATH 431: MATH 430.
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MATH 430-431 - Abstract Algebra
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MATH 435: Introduction to Topology
3.00 Credits
James Madison University
3 credits. Offered on demand. Metric spaces, limits, continuous maps and homeomorphisms, connectedness, compact topological spaces and applications. Prerequisites: MATH 238 or MATH 300 and MATH 245 or consent of instructor.
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MATH 435 - Introduction to Topology
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MATH 440: Fourier Analysis and Partial Differential Equations
3.00 Credits
James Madison University
3 credits. Offered fall. Elementary applied partial differential equations, the heat equation, Laplace's equation, the wave equation; Fourier series and boundary value problems. Both theory and problem-solving will be included. Prerequisite: MATH 238 or MATH 336.
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MATH 440 - Fourier Analysis and Partial Differential Equations
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MATH 441: Analysis and Dynamics of Differential Equations
3.00 Credits
James Madison University
3 credits. Offered spring. Analysis of qualitative properties and dynamics of linear and non-linear ordinary differential equations, including topics such as existence, uniqueness, phase portraits, stability and chaos, with applications to the sciences. Prerequisites: MATH 238 and MATH 245 or MATH 440 or consent of instructor.
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MATH 441 - Analysis and Dynamics of Differential Equations
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MATH 448: Numerical Analysis
3.00 Credits
James Madison University
3 credits. Offered every third semester as of spring 2007. Study and analysis of algorithms used to solve nonlinear equations and systems of linear and nonlinear equations. Iterative methods for matrices and Newton-type methods. Numerical differential and integral calculus. Programming using a high-level language and/or software packages. Prerequisites: MATH 237, MATH 238 and MATH 248. Formerly MATH 448.
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MATH 448 - Numerical Analysis
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MATH 448-449: Numerical Mathematics and Computer Applications
3.00 Credits
James Madison University
3 credits each semester. Numerical solutions and error analysis of typical problems such as finding zeros of nonlinear functions, solving systems of linear and nonlinear equations, interpolation, approximation, integration, solving ordinary differential equations, optimization, and Monte Carlo methods. Prerequisites for CS/MATH 448: MATH 237, MATH 300 and MATH 248. Prerequisites for CS/MATH 449: CS/MATH 448 and MATH 336.
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MATH 448-449 - Numerical Mathematics and Computer Applications
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MATH 449: Numerical Analysis for Differential Equations
3.00 Credits
James Madison University
3 credits. Offered every third semester as of fall 2007. Study and analysis of numerical techniques to solve ordinary and partial differential equations, including Euler, Runge-Kutta, Picard, finite-difference andfinite-element methods. Programming using a high-level language and/or software packages. Prerequisite: MATH/CS 448. Formerly MATH 449.
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MATH 449 - Numerical Analysis for Differential Equations
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MATH 465: Seminar in Actuarial Science I
3.00 Credits
James Madison University
3 credits. Offered on demand. Theory and application of contingency mathematics in the areas of life and health insurance and of annuities from both a probabilistic and deterministic approach. This class, together with MATH/FIN 466, helps students prepare for the professional actuarial examinations. Prerequisite: MATH/FIN 395 or consent of the instructor. Prerequisite or corequisite: MATH 426.
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MATH 465 - Seminar in Actuarial Science I
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MATH 466: Seminar in Actuarial Science II
3.00 Credits
James Madison University
3 credits. Offered on demand. A continuation of MATH/FIN 465. Additional coverage of contingency mathematics in the areas of life and health insurance, annuities, pensions and risk theory from both probabilistic and deterministic approaches. The two-course sequence helps to prepare the student for the professional actuarial examinations. Prerequisite: MATH/FIN 465. Prerequisite or corequisite: MATH 427.
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MATH 466 - Seminar in Actuarial Science II
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MATH 467: Selected Topics in Mathematics
1.00 - 3.00 Credits
James Madison University
1-3 credits each semester. Offered on demand. Topics in advanced mathematics which are of special interest to the student but not covered in the regularly offered courses. Offered only with approval of the department head; may be repeated for credit when course content changes.
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MATH 467 - Selected Topics in Mathematics
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