Same as Mathematics 381D. Introduction to complex analysis. Three lecture hours a week for one semester. Prerequisite: Graduate standing and consent of instructor or the graduate adviser.
Score: 6.1930866 Details | Listing | Web page
Same as Physics 381M. Theory of analytic functions; linear algebra and vector spaces; orthogonal functions; ordinary differential equations; partial differential equations; Green’s functions; complex variables. Three lecture hours a week for one semester. Prerequisite: Graduate standing.
Score: 6.1930866 Details | Listing | Web page
Same as Physics 381N. Continuation of Computational and Applied Mathematics 381M. Topology, functional analysis, approximation methods, group theory, differential manifolds. Three lecture hours a week for one semester. Prerequisite: Graduate standing, and Computational and Applied Mathematics 381M or Physics 381M.
Score: 6.1930866 Details | Listing | Web page
Same as Mathematics 381C. Measure and integration over abstract spaces; Lebesgue’s theory of integration and differentiation on the real line. Three lecture hours a week for one semester. Prerequisite: Graduate standing and consent of instructor or the graduate adviser.
Score: 6.1930866 Details | Listing | Web page
Same as Mathematics 381E. Introduction to functional analysis. Three lecture hours a week for one semester. Prerequisite: Graduate standing, consent of instructor, and Computational and Applied Mathematics 381R or Mathematics 381C.
Score: 6.1930866 Details | Listing | Web page
Same as Petroleum and Geosystems Engineering 382L. The use of numerical methods and computers in the solution of petroleum and geosystems engineering problems. Three lecture hours a week for one semester. Prerequisite: Graduate standing.
Score: 6.1930866 Details | Listing | Web page
Recent literature on petroleum production practice and petroleum and geosystems engineering problems. Three lecture hours a week for one semester. May be repeated for credit when the topics vary. Prerequisite: Graduate standing in computational and applied mathematics, engineering, or geological sciences. Students seeking to enroll in any seminar must present technical prerequisites satisfactory to the instructor.
Score: 6.1930866 Details | Listing | Web page
Same as Computer Sciences 383C and Mathematics 383E. Survey of numerical methods in linear algebra: floating-point computation, solution of linear equations, least squares problems, algebraic eigenvalue problems. Three lecture hours a week for one semester. Prerequisite: Graduate standing, either consent of instructor or Mathematics 341 or 340L, and either Mathematics 368K or Computer Sciences 367.
Score: 6.1930866 Details | Listing | Web page
Same as Computer Sciences 383D and Mathematics 383F. Survey of numerical methods for interpolation, functional approximation, integration, and solution of differential equations. Three lecture hours a week for one semester. Prerequisite: Graduate standing; either consent of instructor or Mathematics 427K and 365C; and Computational and Applied Mathematics 383C, Computer Sciences 383C, or Mathematics 383E.
Score: 6.1930866 Details | Listing | Web page
Same as Computer Sciences 384G. Advanced material in computer graphics, including in-depth treatments of techniques for realistic image synthesis, advanced geometric modeling methods, animation and dynamic simulation, scientific visualization, and high-performance graphics architectures. Three lecture hours a week for one semester. Prerequisite: Graduate standing; and Computer Sciences 354 or another introductory course in computer graphics, or equivalent background and consent of instructor.
Score: 6.1930866 Details | Listing | Web page
Same as Mathematics 385C. Three lecture hours a week for one semester. Prerequisite: Graduate standing and consent of instructor.
Score: 6.1930866 Details | Listing | Web page
Same as Mathematics 385D. Three lecture hours a week for one semester. Prerequisite: Graduate standing, consent of instructor, and Computational and Applied Mathematics 384K or Mathematics 385C.
Score: 6.1930866 Details | Listing | Web page
Same as Mathematics 384C. General theory of mathematical statistics. Hypothesis testing, estimation, decision theory. Three lecture hours a week for one semester. Prerequisite: Graduate standing, and Mathematics 378K or consent of instructor or the graduate adviser in mathematical statistics.
Score: 6.1930866 Details | Listing | Web page
Same as Mathematics 384D. Continuation of Computational and Applied Mathematics 384R. Three lecture hours a week for one semester. Prerequisite: Graduate standing, consent of instructor, and Computational and Applied Mathematics 384R or Mathematics 384C.
Score: 6.1930866 Details | Listing | Web page
Same as Mathematics 384G. Fitting linear models to data by the method of least squares, choosing best subsets of predictors, and related materials. Three lecture hours a week for one semester. Prerequisite: Graduate standing and consent of instructor.
Score: 6.1930866 Details | Listing | Web page
Same as Mathematics 384E. Analysis of variance, including one- and two-way layouts; components of variance; fixed, random, and mixed models; and various types of experimental designs and their analysis. Three lecture hours a week for one semester. Prerequisite: Graduate standing, and Mathematics 378K or the equivalent or consent of instructor.
Score: 6.1930866 Details | Listing | Web page
Same as Mathematics 383C. Topics include basic normed linear space theory; fixed-point theorems and applications to differential and integral equations; Hilbert spaces and the spectral theorem; applications to Sturm-Liouville problems; approximation and computational methods such as the Galerkin, Rayleigh-Ritz, and Newton procedures. Three lecture hours a week for one semester. Prerequisite: Graduate standing.
Score: 6.1930866 Details | Listing | Web page
Same as Mathematics 383D. Topics include distributions, fundamental solutions of partial differential equations, the Schwartz space and tempered distributions, Fourier transform, Plancherel theorem, Green’s functions, Sobolev spaces, weak solutions, differential calculus in normed spaces, implicit function theorems, applications to nonlinear equations, smooth variational problems, applications to classical mechanics, constrained variational problems. Three lecture hours a week for one semester. Prerequisite: Graduate standing and Computational and Applied Mathematics 385C.
Score: 6.1930866 Details | Listing | Web page
Same as Mathematics 383G. The analysis of numerical methods for solving ordinary and partial differential equations. Three lecture hours a week for one semester. Computational and Applied Mathematics 386K and Computer Sciences 386K may not both be counted. Prerequisite: Graduate standing; and Computational and Applied Mathematics 383D, Computer Sciences 383D, Mathematics 368K, 383F, or consent of instructor.
Score: 6.1930866 Details | Listing | Web page
Same as Engineering Mechanics 386M. An introduction to modern concepts in functional analysis and linear operator theory, with emphasis on their application to problems in theoretical mechanics; topological and metric spaces, norm linear spaces, theory of linear operators on Hilbert spaces, applications to boundary value problems in elasticity and dynamical systems. Three lecture hours a week for one semester. Prerequisite: Graduate standing, Engineering Mechanics 386L, and Mathematics 365C.
Score: 6.1930866 Details | Listing | Web page
A study of methods for assessing the qualitative behavior of solutions to equations governing nonlinear continuum mechanics. Three lecture hours a week for one semester. Prerequisite: Graduate standing, and Computational and Applied Mathematics 386M or Engineering Mechanics 386M.
Score: 6.1930866 Details | Listing | Web page
Three lecture hours a week for one semester. Prerequisite: Graduate standing.
Score: 6.1930866 Details | Listing | Web page
Same as Mathematics 391C. Recent topics have included measure and integration, real variables; complex analysis, functional analysis, ordinary differential equations, partial differential equations, integral transforms, operator theory, approximation theory, abstract harmonic analysis. Three lecture hours a week for one semester. May be repeated for credit when the topics vary. Some sections are offered on the credit/no credit basis only; these are identified in the Course Schedule . Prerequisite: Graduate standing and consent of instructor.
Score: 6.1930866 Details | Listing | Web page
Same as Mathematics 393C. Recent topics have included quantum mechanics, statistical physics, ergodic theory, group representations, statistical mechanics, quantum field theory, introductory partial differential equations, monotone operators and partial differential equations, Hilbert space methods for partial differential equations, Hamiltonian dynamics, nonlinear functional analysis, Euler and Navier-Stokes equations, microlocal calculus and spectral asymptotics, calculus of variations. Three lecture hours a week for one semester. May be repeated for credit when the topics vary. Some sections are offered on the credit/no credit basis only; these are identified in the Course Schedule . Prerequisite: Graduate standing and consent of instructor.
Score: 6.1930866 Details | Listing | Web page
Same as Mathematics 393D. Recent topics have included numerical methods in ordinary differential equations, numerical methods in partial differential equations, computational problems in linear algebra, numerical solution of systems of equations, numerical methods in functional approximation, numerical integration. Three lecture hours a week for one semester. May be repeated for credit when the topics vary. Some sections are offered on the credit/no credit basis only; these are identified in the Course Schedule . Prerequisite: Graduate standing and consent of instructor.
Score: 6.1930866 Details | Listing | Web page
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