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introduces advanced topics into the theory of ordinary differential equations (odes). This course emphasizes conceptual understanding and critical thinking. It contains simplified problems of physics and other disciplines to motivate certain topics.
Elements of the theory of PDES. Topics include solving the first order PDEs with the method of features, the determination of the existence, uniqueness and influences of the solution of PDES and the solution of linear second-order PDEs with the methods of separating variables and Fourier series for limiting value problems and storm Liouville theory.
Requirement: math 221
focuses on the construction and analysis of numeric methods that solve shared problems in science and technology.
Basic methods are used as the basis for discussing modern methods for solving partial differential equations. Numerous methods include variation, finite element, collocation, spectral and FFT. Error estimates and implementation problems are discussed.
Prerequisite: math 231
asymptotic evaluation of integral, coordinated asymptotic extensions, multiple scales, WKB and homogenization. Applications are performed on odes, pdes, differential equations and integrated equations for examining edge and shock layers, non-linear wave propagation, bifurcation and stability and resonance.
Requirement: math 221
Students are introduced into "scientific teaching" - an approach to teaching science, which uses many of the same skills applied in research. The topics include how people learn, learning, designing, organizing, and facilitating teachable units, class management, divider in classroom and evaluation design.
seminar series covering various topics in applied mathematics represented by faculties, graduates and visitor speakers.
Basic real analysis (metric rooms, contraction species), Banach rooms, Hilbert spaces, linear operators, bound operator, compact operator, spectral heritage, distributions, Fourier transforms, a priori estimates, energy estimates, existence / uniqueness theory, variation calculus and Applications of the above material to concrete problems in the applied mathematics.
Requirement: math 221 and math 222
Requirement: math 232
Treating a special topic or topic in applied mathematics on the graduate degree. Can be repeated for the loan in a different subject area.
Group project under faculty monitoring.
focuses on the teaching of first-time students from various graduate programs in calculation methods, programming languages, team sciences, project development, problem solving, social networking and professional preparation.
Designed to increase the writing knowledge of graduate students, with a focus on strategies to read critical, organizing and secure thoughts, to select the appropriate vocabulary and generate and revise them in a particular scientific field. Topics are talking about scientific disciplines. Projects may include writing abstracts, research reports, literature reports, poster and grant proposals.
Centrates on the teaching experience of a student as a teaching assistant in a bachelor's course of mathematical matter. Provides an optional opportunity to implement teaching practices in course lessons and learning in the sciences. Includes the video Taping of Teaching, Peer Review and weekly meetings with faculty.
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