University of Virginia Library

SCHOOL OF MATHEMATICS.

Prof. Venable.

This School embraces two courses, as follows:

I. Pure Mathematics.

Junior Class.—Theory of Arithmetical Notation and Operations;
Algebra, through the Binomial Theorem; Geometry, Plane and Solid;
Geometrical Analysis, with numerous exerciscs 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."

This class meets three times a week (4½ hours).

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.—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.

This class meets twice a week (3 hours).

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

Senior Class.—The subjects taught in this class are pursued in the
following order:

1. Analytical Geometry of three dimensions, through the discussion of
the Conicoids and some Curves in Space.

2. Differential and Integral Calculus, with various applications.

3. A short course of the Calculus of Variations.

4. The Theory of Equations, and lectures on the History of Mathematics.

This class meets three times a week (4½ hours).

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.