~EGULAR SESSION - University of Oregon

MATHEMATICS
UPPER-DIVISION COURSES
Mth 313. Calculus. 4 hours.
Foundations of the calculus. For prospective high-school teachers. Prerequisite:
year sequence in mathematics and consent of instructor. Maier,
Moursund.
Mth 316,317,318. Linear Algebra and Coordinate Geometry. 3 hours each
term.
Vector spaces, matrices, quadratic forms; applications to coordinate geometry.
Prerequisite: year sequence in calculus or consent of instructor. Ghent,
Gil1ette, Sills.
Mth 319. Number Theory. 3 hours.
Divisibility, congruences, number theoretic functions, Diophantine equations.
Prerequisite: year sequence in calculus or consent of instructor. Ghent, Maier,
Niven.
Mth 341,342,343. Fundamentals of Algebra. 3 hours each term.
Algebraic topics, for prospective secondary-school teachers of mathematics.
Inequalities, congruences, bases of the number system, foundations of algebra,
set theory, Boolean algebras, elementary matrix and group theory. Prerequisite:
year sequence in calculus or consent of instructor. Ghent, Maier, Niven.
Mth 344,345. Fundamentals of Geometry. 3 hours each term.
Geometric topics, for prospective secondary-school teachers of mathematics.
Length, area, volume, and the related limit problem. Ruler and compass constructions,
locus problems. Euclidean and non-Euclidean geometries. Coordinate
and noncoordinate techniques in the plane and in space. Prerequisite:
year sequence in calculus or consent of instructor. Maier, Niven.
Mth 346. Fundamentals of Statistics. 3 hours.
Topics in probability and statistics, for prospective secondary-school teachers
of mathematics. Probability and random variables on finite sets. Binomial and
hypergeometric distributions. Random number tables. Frequency distributions
and histograms. Algebra of elementary statistical distributions. Tests of hypotheses
and linear estimates. Prerequisite: year sequence in calculus or consent
of instructor. Truax, Niven.
Mth 403. Thesis. Hours to be arranged.
Mth 405. Reading and Conference. Hours to be arranged.
Mth 407. Seminar. Hours to be arranged.
UPPER-DIVISION COURSES CARRYING GRADUATE CREDIT
Mth 412,413,414. Introduction to Abstract Algebra. (G) 3 hours each term.
Sets, relations, mappings; introduction to the theory of groups, rings, fields,
polynomial rings; linear algebra and matrix theory. Prerequisite: Mth 318
or consent of instructor. Anderson, Curtis, Harrison, Wright.
Mth 418. Differential Equations. (g) 3 hours.
Linear differential equations, applications, systems of equations. Prerequisite:
Mth 201, 202, 203 or Mth 204,205,206. Niven, Wright, Yood.
Mth 419. Functions of Several Variables. (g) 3 hours.
Infinite series, power series, partial differentiation, multiple integrals, and
other related topics. Prerequisite: Mth 201, 202, 203 or Mth 204, 205, 206.
Niven, Wright, Yood.
Mth 420. Vector Analysis. (g) 3 hours.
Vector operations, divergence theorem, Stokes' theorem, applications. Prerequisite:
Mth 419 or equivalent. Niven, Wright, Yood.
Mth 421. Functions of a Complex Variable. (g) 3 hours.
Cauchy's theorem, residues, contour integration. Shapiro.
187