University of Virginia Library

SCHOOL OF MATHEMATICS

Mathematics A1: Mathematics A1, A2 and B of the entrance requirements
prerequisite.—Students with high school credit for solid geometry not admitted.
First term: Trigonometry. Second term: Solid geometry. Third term: College
algebra. (B.A. or B.S. credit, 3 session-hours.)

Professor Luck, Mr. Wells, Mr. Lindsey and Mr. Aylor.

Mathematics A2: Sec. 1: (Special section designed for students who intend
to pursue Mathematics, Astronomy, Physics or Chemistry beyond first-year
courses, and who are prepared to take a more extensive course than the
regular A2 course.) Mathematics A1, A2, B, C, and D of the entrance requirements
and Professor Luck's permission prerequisite.—First term: Selected topics
from trigonometry and algebra. Second and third terms: Analytical geometry
with related topics of algebra. (B.A. or B.S. credit, 3 session-hours.)

Professor Luck.

All students with prerequisite preparation who expect to pursue Mathematics,
Astronomy, Physics or Chemistry beyond first-year courses are urged
to apply for admission to this course.

Mathematics A2: Mathematics A1, A2, B, and C of the entrance requirements
prerequisite.—First term: Trigonometry. Second and third terms: Analytical
geometry with related topics of college algebra. (B.A. or B.S. credit,
3 session-hours.)

Professor Luck, Mr. Wells, Mr. Lindsey and Mr. Aylor.

Mathematics A4: Mathematics A1, A2, and B of the entrance requirements
prerequisite.—First term: Trigonometry, graphical algebra and logarithms. Second
and third terms: College algebra with applications to the mathematics of
finance. (B.S. in Commerce credit, 3 session-hours.) This course is required
for B.S. in Commerce.

Associate Professors Hulvey and Henderson.

Mathematics B1: Mathematics A1 prerequisite.—Analytical geometry of
two dimensions. (B.A. or B.S. credit, 3 session-hours.)

Professor Page.

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

Professor Echols.

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 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 prperequisite.—Theory
of functions of a complex variable. Vector Analysis. Hours
by appointment.

Professor Echols.