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COLLEGE OF LETTERS AND SCIENCE

ALGEBRAIC GEOMETRY. Yr; 3 cr. Algebraic curves and their singu-
larities; the geometry of the curve and the associated Riemann sur-
face. Mr. Bennett.

FINITE Groups. Yr; 3 cr. Offered 1930-31 and usually in alternate
years. Mr. Skinner.

TeNSOR ANALYSIS. Yr; 3 cr. Not offered 1930-381.
THEORETICAL HYDRODYNAMIcs. I; 2 cr. Mr. Slichter.
THEORY OF ELASTICITY. Yr; 8 cr. Mr. March.
THEORY OF POTENTIAL. Yr; 2 cr. Mr. Weaver.

ADVANCED ALGEBRAIC THEORY OF EQUATIONS. I; 3 cr. A course
covering the Galois theory of the algebraic solution of equations, the
properties of symmetric functions, and certain other algebraic topics
in the theory of equations. Mr. Ingraham.

ADVANCED ANALYTIC THEORY OF EQUATIONS. II; 8 cr. A course
in the location of roots of a polynomial and certain related polynom-
ials, including the derivative, with the extension of portions of the
theory to entire functions. Mr. Ingraham.

INFINITE SERIES OF FUNCTIONS. Yr; 3 cr. Mr. Langer.

FOUNDATIONS OF ANALYSIS. Yr; 2 cr. To be given 1930-31 if de-
mand warrants. Mr. Ingraham.

HIGHER ALGEBRA. Yr; 3 cr. Matrices, linear dependence and inde-
pendence, quadratic forms, elementary divisors. Offered 1930-31.
Mr. Ingraham.

HarMonic ANALYSIS. Yr; 3 cr. Boundary value problems con-
nected with the partial differential equations of ordinary occurrence
in mathematical physics. Fourier’s series, series of Bessel’s func-
tions, and spherical harmonics. Offered 1929-30 and in alternate
years. Mr. March.

THEORY OF NuMBERS. Yr; 3 cr. Theory of congruences and of
algebraic integers. Mr. Skinner.

CALCULUS OF VARIATIONS. I; 3 cr. An introductory course devoted
to the classical theory and problems. Prerequisite: Differential and
integral calculus. Offered 1930-31. Mr. Langer.

PARTIAL DIFFERENTIAL EQUATIONS. Yr; 3 cr. This course treats
the theory of the partial differential equation of the first order and
the various types of linear partial differential equations of second
order which occur so commonly in the applications of mathematics.
It presupposes no special knowledge other than an ordinary introduc-
tory course in differential equations, and some elementary knowledge
of the theory of power series.

THEORY OF INTEGRAL EQUATIONS. II; 8 cr. An introductory course.
The classical approach to the equations of Volterra and Fredholm
types. Offered 1930-31. Mr. Langer.