University of Virginia Library

SCHOOL OF MATHEMATICS.

Prof. Venable.

This School embraces two courses, as follows:

I. Pure Mathematics.

Junior Class.—This class meets three times a week (4½ hours) and
studies Theory of Arithmetical Notations and Operations; Algebra,
through the Binomial Theorem; Geometry, Plane and Solid; Geometrical
Analysis, with numerous exercises for original solution; Elementary
Plane Trigonometry, embracing the solution of Triangles, with the
use of Logarithms, and some applications to problems of "Heights and
Distances." The preparation desirable for it is a good knowledge of
Arithmetic, of Algebraic Operations through Equations of the Second
Degree, and of the first three books of Plane Geometry.

Text-books.—Todhunter's Algebra; Venable's Legendre's Geometry, with collection of exercises;
Todhunter's Trigonometry for Beginners.

Intermediate Class.—This class meets twice a week (3 hours) and
studies Geometrical Analysis, with exercises for original solution;
Plane Trigonometry, with applications; Analytical Geometry of two
dimensions; Spherical Trigonometry, with applications; Elements of
the Theory of Equations. The preparation desirable for this class is a
thorough knowledge of Algebra through the Binomial Theorem, and
Logarithms; of Synthetic Geometry, Plane and Solid, with some training

in the solution of Geometrical Problems; and a knowledge of the elements
of Plane Trigonometry, including the use of logarithmic tables

Text-books.—Snowball's Trigonometry, Puckle's Conic Sections, the Professor's Collection
of Exercises in Plane Geometry.

Senior Class.—This class meets three times a week (4½ hours) and
studies Analytical Geometry of three dimensions, through the discussion
of the Conicoids and some Curves in Space; Differential and
Integral Calculus, with various applications; a short course in the Calculus
of Variations; the Theory of Equations; and lectures on the
History of Mathematics.

Text-books.—The Professor's Notes on Solid Geometry (Analytical); Todhunter's Differential
Calculus; Williamson's Integral Calculus; Todhunter's Theory of Equations.

Candidates for graduation in Pure Mathematics are required to pursue
in the University the studies of both the Intermediate and Senior
Classes.

II. Mixed Mathematics.

This course is designed for those students who may desire to prosecute
their studies beyond the limits of Pure Mathematics. It embraces
an extended course of reading under the instruction and guidance of
the Professor on the applications of the Differential and Integral Calculus
to Mechanics, Physical Astronomy, and selected portions of Physics.
The class in Mixed Mathematics meets twice a week (3 hours).

Text-books.—Price's Infinitesimal Calculus, Vols. II. and III.; Cheyne's Planetary Theory.

The instruction in each class in the School of Mathematics is conveyed
partly by lectures and partly by the systematic study of approved
text-books. The progress of the student in each class is tested
constantly by his being called upon to apply the principles acquired to
the independent solution of selected problems.