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; Courtenay's 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 once a week.

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.