| source University of Texas at Austin (X) |
level Graduate (46) |
department Mathematics (X) |
A survey of algebraic structures, including groups, fields, rings, and modules. Three lecture hours a week for one semester. Prerequisite: Graduate standing and consent of instructor or the graduate adviser.
Score: 7.3765717 Details | Listing | Web page
Continuation of Mathematics 380C. Three lecture hours a week for one semester. Prerequisite: Graduate standing, consent of instructor or the graduate adviser, and Mathematics 380C.
Score: 7.3765717 Details | Listing | Web page
Same as Computational and Applied Mathematics 381R. 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: 7.3765717 Details | Listing | Web page
Same as Computational and Applied 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: 7.3765717 Details | Listing | Web page
Same as Computational and Applied Mathematics 381S. Introduction to functional analysis. Three lecture hours a week for one semester. Prerequisite: Graduate standing, consent of instructor or the graduate adviser, and Computational and Applied Mathematics 381R or Mathematics 381C.
Score: 7.3765717 Details | Listing | Web page
Surfaces, covering spaces, fundamental group, and homology. Three lecture hours a week for one semester. Prerequisite: Graduate standing, an undergraduate course in topology, and consent of instructor or the graduate adviser.
Score: 7.3765717 Details | Listing | Web page
Continuation of Mathematics 382C. Manifolds and maps, differential forms, transversality, and intersection theory. Three lecture hours a week for one semester. Prerequisite: Graduate standing, consent of instructor or the graduate adviser, and Mathematics 382C.
Score: 7.3765717 Details | Listing | Web page
Continuation of Mathematics 382C. Three lecture hours a week for one semester. Prerequisite: Graduate standing and consent of instructor or the graduate adviser.
Score: 7.3765717 Details | Listing | Web page
Continuation of Mathematics 382E. Three lecture hours a week for one semester. Prerequisite: Graduate standing, consent of instructor or the graduate adviser, and Mathematics 382E.
Score: 7.3765717 Details | Listing | Web page
Continuation of Mathematics 382D. Three lecture hours a week for one semester. Prerequisite: Graduate standing and consent of instructor or the graduate adviser.
Score: 7.3765717 Details | Listing | Web page
Same as Computational and Applied Mathematics 385C. 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: 7.3765717 Details | Listing | Web page
Same as Computational and Applied Mathematics 385D. 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 Mathematics 383C.
Score: 7.3765717 Details | Listing | Web page
Same as Computational and Applied Mathematics 383C and Computer Sciences 383C. 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: 7.3765717 Details | Listing | Web page
Same as Computational and Applied Mathematics 383D and Computer Sciences 383D. 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: 7.3765717 Details | Listing | Web page
Same as Computational and Applied Mathematics 386K. The analysis of numerical methods for solving ordinary and partial differential equations. Three lecture hours a week for one semester. Computer Sciences 386K and Mathematics 383G 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: 7.3765717 Details | Listing | Web page
Same as Computational and Applied Mathematics 384R. 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: 7.3765717 Details | Listing | Web page
Same as Computational and Applied Mathematics 384S. Continuation of Mathematics 384C. Three lecture hours a week for one semester. Prerequisite: Graduate standing, consent of instructor, and Computational and Applied Mathematics 384R or Mathematics 384C.
Score: 7.3765717 Details | Listing | Web page
Same as Computational and Applied Mathematics 384U. 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: 7.3765717 Details | Listing | Web page
Design of experiments, including 2n and 3n factorial experiments, confounding, fractional factorials, sequential experimentation, orthogonal arrays, D-optimal experiments, and response surface methodology. Three lecture hours a week for one semester. Prerequisite: Graduate standing, and Mathematics 378K or the equivalent or consent of instructor.
Score: 7.3765717 Details | Listing | Web page
Same as Computational and Applied Mathematics 384T. 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: 7.3765717 Details | Listing | Web page
Introduction to the general multivariate linear model; a selection of techniques, such as principle component, factor, and discriminant analysis. Three lecture hours a week for one semester. Prerequisite: Graduate standing and consent of instructor.
Score: 7.3765717 Details | Listing | Web page
Same as Computational and Applied Mathematics 384K. Three lecture hours a week for one semester. Prerequisite: Graduate standing and consent of instructor.
Score: 7.3765717 Details | Listing | Web page
Same as Computational and Applied Mathematics 384L. Continuation of Mathematics 385C. Three lecture hours a week for one semester. Prerequisite: Graduate standing, consent of instructor, and Computational and Applied Mathematics 384K or Mathematics 385C.
Score: 7.3765717 Details | Listing | Web page
Measurement of interest, present and accumulated value, amortization, sinking funds, bonds, duration, and immunization. Covers the interest theory portion of an exam of the Society of Actuaries and the Casualty Actuarial Society. Three lecture hours a week for one semester. Actuarial Foundations 329 and Mathematics 389F may not both be counted. Prerequisite: Graduate standing and Mathematics 408D or 408L.
Score: 7.3765717 Details | Listing | Web page
Introductory actuarial models for life insurance, property insurance, and annuities. With Mathematics 389P, covers the syllabus for the professional actuarial exam on model construction. Three lecture hours a week for one semester. Prerequisite: Graduate standing, and Mathematics 358K or 378K with a grade of at least C.
Score: 7.3765717 Details | Listing | Web page