University of Virginia Library

SCHOOL OF MATHEMATICS

Mathematics C1: Advanced Calculus: Mathematics B3 prerequsite.—Elliptic
functions and integrals. Legendre's polynomials and Bessel's functions and
their application to problems in attraction, the Gamma function, calculus of
variations, and other related subjects, including an introduction to difference
equations and to integral equations. Given in alternate years with Mathematics
C3.

Associate Professor Linfield.

Mathematics C2: Differential Geometry: Mathematics B3 and B4 prerequisite.—Metric
differential properties of curves and surfaces in Euclidean space
of three dimensions.

Professor Luck.

Mathematics C3: Higher Geometry: Mathematics B2 prerequisite.—Algebraic
plane curves; circle and sphere geometry; line geometry, including differential
line geometry and the use of tensors. Given in alternate years with
Mathematics C1. (Not offered in 1935-36.)

Associate Professor Linfield.

Mathematics C4: Theory of Functions of a Real Variable: Mathematics
B2 prerequisite.—The real number system; linear point sets; continuity and discontinuity
of functions; differentiation and differentials, jacobians, integration:
Riemann and Lebesgue theories; improper integrals. Infinite series: general convergence
theories; power series; Fourier's series and integrals.

Professor Whyburn.

Mathematics C5: Theory of the Functions of a Complex Variable.

Professor in Charge to be Announced Later.

Mathematics C6: Introductory Topology: Mathematics B2 prerequisite.—
Foundations of mathematics based on a set of axioms; metric spaces; convergence
and connectivity properties of point sets; continua and continuous curves;
the topology of the plane.

Professor Whyburn.

Mathematics C7: a. Foundations of Geometry. b. Non-Euclidean Geometry.

Professor Whyburn.

Mathematics D1: Set Theoretic Topology.

Professor Whyburn.

Mathematics D2: Combinatory Topology.

Professor in Charge to be Announced Later.

Mathematics D3: Analysis.

Professor in Charge to be Announced Later.

Mathematics D4: Analytic Sets and Abstract Spaces.

Professor Whyburn.

Mathematics D5: Application of Topology to Function.

Professor in Charge to be Announced Later.

The courses designated by C are fundamental in character and are designed
to give the student a basic knowledge in most branches of mathematics and to
provide a foundation for more advanced study in any field of mathematics the
student may elect. The program of a candidate for the degree of M.A. or M.S.
will consist of a limited number of these courses and candidates for the Ph.D.
degree will normally take all of them.

The courses designated by D are more advanced in character. They provide
a thorough knowledge of Topology in its various phases and relation to other
branches of mathematics and are intended to prepare the Ph.D. candidate to do
research in the subject.

The Echols Mathematics Club is composed of all officers of instruction in
mathematics, and those undergraduates who show marked proficiency in this
field. The club meets twice monthly for discussion of mathematical subjects.