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Course Criteria
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3.00 Credits
Algebraic systems as related to solutions of polynomial equations, division algorithms and factorization for polynomials and integers, fundamental theorem of algebra, and related topics from elementary number theory including linear congruencies and rings of residue classes. Pre: C or better in MATH 310 or instructor's consent.
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3.00 Credits
Special functions of mathematical physics which arise from Sturm-Liouville equations: Bessel, beta, elliptical, gamma and Legendre functions. Generating functions, complex integral representations. Other topics may include integral transforms, Fourier analysis and linear algebra. Pre: MATH 232, or MATH 231 and 300.
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3.00 Credits
An introduction to nonlinear dynamical systems for science majors. Topics include dynamics in one and several dimensions, stability, excitable media, fractals, and time series analysis. Applications in physics, chemistry, ecology and other fields are illustrated. Pre: C or better in MATH 206 and C or better in PHYS 171 or Math 232. (Same as PHYS 380)
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3.00 Credits
No course description available.
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1.00 - 3.00 Credits
No course description available.
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3.00 Credits
Solutions of equations in one variable, direct and iterative methods for systems of linear equations, the algebraic eigenvalue problem, interpolation and polynomial approximation, error analysis and convergence for specific methods. Offered spring semester. Pre: C in MATH 206 and MATH 311 and programming experience. (Same as CS 407).
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3.00 Credits
A continuation of MATH 407. Topics will include approximation theory, numerical integration and differentiation, solution of systems of nonlinear equations, numerical solutions to differential equations. Pre: C in MATH 407. (Same as CS 408).
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3.00 Credits
Sets, sample spaces, combinatorial probability, random variables, mathematical expectation, classical distributions applications. Pre: C or better in MATH 231 and Math 232, or concurrent enrollment.
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3.00 Credits
Statistical inference, estimation, hypothesis testing, regression, correlation, introduction to analysis of variance. Pre: C in MATH 421 or instructor's consent.
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4.00 Credits
A study of the basic concepts and theorems underlying classical analysis, including the topology of "R", uniform convergence, and differential and integral calculus. Pre: C in MATH 232.
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