~EGULAR SESSION - University of Oregon

MATHEMATICS 189
tative ring, rings without finiteness assumptions, and nonassociative rings and
algebras. Anderson, Curtis, Harrison, Wright.
Mth 547,548,549. Algebraic Number Theory. 3 hours each term.
Algebraic, irrational, transcendental, and normal numbers; approximation of
algebraic and transcendental numbers by rationals. Niven.
Mth 551, 552, 553. Theory of Functions of a Real Variable. 3 hours each term.
Measure and integration, Hilbert and Banach spaces, and related topics.
Cater, Stromberg, Yood.
Mth 554, 555,556. Theory of Functions of a Complex Variable. 3 hours each
term.
The theory of Cauchy, power series, contour integration, analytic continuation,
entire functions, and related topics. Shapiro, Stromberg.
Mth 557, 558, 559. Topics in Classical Analysis. 3 hours each term.
Fourier series, Fourier transforms, integral equations, linear operations m
Hilbert space, spectral theory. Civin, Shapiro.
Mth 561, 562, 563. Modern Theories in Analysis. 3 hours each term.
Measure theory, Banach spaces and algebras, analysis in topological groups;
modern functional analysis, with emphasis on the connections with classical
analysis and on applications to harmonic analysis. Civin, Sills, Stromberg,
Yood.
Mth 571, 572, 573. Topology. 3 hours each term.
Set theory, topologies, comparison of topologies, product and quotient topologies,
convergence, continuity, metrization, compactification, uniform
structures, introduction to algebraic topology. Gillette, Van Buskirk, Ward.
Mth 581, 582, 583. Theory of Estimation and Testing Hypotheses. 3 hours
each term.
Classical theory of testing and estimation, BAN estimates, moment estimates,
sequential analysis. Andrews, Matthes, Truax.
Mth 584, 585, 586. Theory of Probability. 3 hours each term.
Elements of measure theory, probability in abstract spaces, random variables,
independence, cumulative distribution functions, characteristic functions, moments,
convergence of distributions, the central limit problem, Infinitely divisible
distributions; applications to statistics. Andrews, Matthes, Truax.
Mth 587, 588. Stochastic Processes. 3 hours each term.
A non-measure-theoretic introduction to the theory of stochastic processes;
processes discrete in space and time, discrete in space and continuous in time,
continuous in space and time; applications. Andrews, Truax.
Mth 591,592,593. Advanced Mathematical Statistics. 3 hours each term.
Topics selected from: analysis of variance and design of experiments; multivariate
analysis; sampling from finite populations; nonparametric methods.
Andrews, Matthes, Odeh, Truax.
Mth 594. Theory of Games. 3 hours.
The theory of games, with special emphasis on zero-sum two-person games.
Matthes, Truax.
Mth 595, 596. Statistical Decision Theory. 3 hours each term.
Statistical decision theory based on the theory of games; sequential decision
theory; comparison of experiments. Truax.
COURSES OFFERED ONLY IN SUMMER SESSIONS AND :EXTENSION
Mth 10. Elements of Algebra. No credit (extension).
Mth 457, 458, 459. Foundations of Mathematics. (g) 3-4 hours each term (summer
sessions) .
Mth 468,469. Probability and Statistics. (g) 3-4 hours each term (summer
sessions) .