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.

Associate Professor Linfield.

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.

Associate Professor Linfield.

Mathematics C3: Higher Geometry: Mathematics C2 prerequisite.—Algebraic
plane curves; circle and sphere geometry; line geometry. Given in alternate
years with Mathematics C5. (Not offered in 1933-34.)

Associate Professor Linfield.

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

Professor Luck.

Mathematics C5: Advanced Calculus (Second course): Mathematics C1
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. (Offered in 1933-34.)

Associate Professor Linfield.

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 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.

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