![]() Excludes freshmen.įirst order ordinary differential equations, linear second order ordinary differential equations, numerical solution of initial value problems, Laplace transforms, matrix algebra, eigenvalues, eigenvectors, systems of differential equations, applications. Prerequisite: A grade of "C" or better in MATH 123. Ordinary Differential Equations II (3)Įxistence-uniqueness theorems Laplace transforms difference equations nonlinear differential equations stability, Sturm-Liouville theory applications to science and engineering. Ordinary Differential Equations I (3)įirst order differential equations undetermined coefficients and variation of parameters for second and higher order differential equations, series solution of second order linear differential equations systems of linear differential equations applications to science and engineering. Introduction to calculus of several variables. Topological properties of the real number line. Prerequisite: A grade of "C" or better in MATH 361A. Introduction to Mathematical Analysis II (3) Limits, continuity and differentiability of functions of one real variable. Rigorous study of calculus and its foundations. Prerequisites: MATH 224, and MATH 233 or MATH 247. Introduction to Mathematical Analysis I (3) Transformations, motions, similarities, geometric objects, congruent figures, axioms of geometry and additional topics in Euclidean and non-Euclidean geometry. In-depth study of linear transformations, vector spaces, inner product spaces, quadratic forms, similarity and the rational and Jordan canonical forms. Prerequisite: A grade of "C" or better in MATH 233ĭivisibility, congruences, number theoretic functions, Diophantine equations, primitive roots, continued fractions. (Lecture-discussion 3 hrs., problem session 2 hrs.) 341. Computer implementation of these methods. Interpolating polynomials, numerical differentiation, and numerical integration. Numerical solution of nonlinear equations, systems of linear equations, and ordinary differential equations. Prerequisites: MATH 224, and a course in computer programming. Writing component strongly recommended students enrolling have completed the G.E. Interconnections with other branches of mathematics. History of mathematics through seventeenth century, including arithmetic, geometry, algebra, and beginnings of calculus. Prerequisite/Corequisite: At least one of MATH 224 or MATH 233 or MATH 247. ![]() Qualitative and computational exploration of emergent properties in dynamical systems, fractals, algorithms, networks, self-organizing behavior and selected topics. Considers the pervasive appearance and deep significance of symmetry and patterns in art and science. Prerequisites: GE Foundation requirements, at least one GE Exploration course, upper-division standing.Īn experimentally-driven investigation of the mathematical nature of symmetry and patterns. Current Faculty and Administration Listings.
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