The University of Virginia record :: March 1, 1935 :: University of Virginia Library

Mathematics A3: For students of more than average ability in Mathematics
who offer Mathematics A1, A2, B, C and D of the entrance requirements.
—Admission to this course is by special permission. Meets 3 times each week.

Professor Luck.

Mathematics A4: Mathematics A1, A2 and B of the entrance requirements
prerequisite.—College algebra and the mathematics of finance. (B.S. in Commerce
credit, 3 session-hours.) This course is required for the B.S. in Commerce
degree.

Associate Professor Hulvey and Mr. Wells.

Mathematics B1: Mathematics A1 as announced in catalogues prior to
1934-35 prerequisite.—Analytical geometry of two dimensions and an introduction
to the calculus. (B.A. or B.S. credit, 3 session-hours.) (This course will be
discontinued after the session 1935-36.)

Professor Luck.

Mathematics B2: Mathematics A2 or B1 prerequisite.—A preliminary
study of the differential and integral calculus with applications. (B.A. or B.S.
credit, 3 session-hours.)

Professor Whyburn.

Mathematics B3: Mathematics B2 prerequisite.—First term: Analytical
geometry of three dimensions and spherical trigonometry by the use of elementary
vector operations, like scalar products and vector products, and elementary
functions of matrices, like inverse and transpose. Second term: Advanced differential
calculus, including partial differentiation, gradients, Taylor's formula,
etc. Third term: Differential equations. (B.A. or B.S. credit, 3 session-hours.)

Associate Professor Linfield.

Mathematics B4: Higher Algebra: Mathematics B2 prerequisite.—Operations
with vectors, matrices, determinants and invariants, and their applications
to analytical geometry. (B.A. or B.S. credit, 3 session-hours.)

Associate Professor Linfield.

Mathematics B5: Projective Geometry: Mathematics B2 prerequisite.—
An introductory course. (B.A. or B.S. credit, 3 session-hours.)

Professor Luck.

Courses for Graduates

Mathematics C1: Advanced Calculus: Mathematics B3 prerequisite.—
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 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.