University of Virginia Library

SCHOOL OF MATHEMATICS

Mathematics C1: Mathematics B1 and B2 or Mathematics A2 and B2 prerequisite.—Analytical
geometry of three dimensions; advanced differential and
integral calculus; differential equations.

Professor Echols.

Mathematics C2: Higher Algebra: Mathematics B2 prerequisite.—Operations
with vectors, matrices, determinants and invariants, and their applications
to analytical geometry, projective geometry, non-Euclidean geometry and
mechanics. Hours by appointment.

Associate Professor Linfield.

Mathematics C3: Higher Geometry: Mathematics C2 prerequisite.—Algebraic
plane curves; circle and sphere geometry; line geometry. Hours by appointment.

Associate Professor Linfield.

Mathematics C4: Projective Geometry: An introductory course. Hours
by appointment.

Professor Luck.

Mathematics D1: Differential Geometry: Mathematics C1 and a reading
knowledge of German prerequisite.—This course opens with a brief study of
ordinary differential equations from the Lie group standpoint and continues
with a study of the metric differential properties of plane and space curves
and of surfaces, including important curve families on surfaces such as lines
of curvature, asymptotic curves, geodesics, etc. Hours by appointment.

Professor Luck.

Only one of the courses C4 and D1 will be given in any one year.

Mathematics D2: Differential Equations: Mathematics C1 prerequisite.—
Ordinary and partial differential equations. Hours by appointment.

Professor Page.

Mathematics D3: Analysis (Functions of real Variables): Mathematics
C1 and C2 prerequisite.—The course will begin with a study of the definitions
of the seven algebraic operations and of the limit of a sequence. Continuous,
differentiable or integrable functions of real variables will then be defined
through the use of the limits of sequences and their important properties deduced
from these definitions. The third term will be devoted to a study of
some particular transcendental functions of real variables. Great emphasis
will be laid throughout the course on detailed rigorous proof. Hours by
appointment.

Associate Professor Linfield.

Mathematics D4: Theory of Functions: Mathematics C1 and D3 prerequisite.—Theory
of functions of a complex variable. Vector Analysis. Hours
by appointment.

Professor Echols.