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, Geometry, Geometrical Analysis, Elementary Plane Trigonometry,
with the use of logarithmic tables. The preparation desirable for
this class is the thorough study of Arithmetic, of Algebraic operations
through Equations of the Second Degree, and of Plane Geometry.

Text-books:—A portion of Todhunter's Algebra, Venable's Legendre's Geometry,
Todhunter's Trigonometry for Beginners.

Intermediate Class.—Plane and Spherical Trigonometry with applications,
Analytical Geometry of two dimensions, the elements of the
Theory of Equations. The preparation desirable for this class is the
study of Algebra, Geometry, and Plane Trigonometry, with the use of
logarithmic tables.

Text-books:—Snowball's Trigonometry, Puckle's Conic Sections.

Senior Class.—Analytical Geometry of three dimensions, Differential
and Integral Calculus, Calculus of Variations, and Theory of Equations.
Lectures are given in this class on the history of mathematics, and on
the elements of some of the modern mathematical theories.

Text-books:—The Professor's Syllabus of Solid Geometry, Courtenay's Calculus,
Todhunter's Differential Calculus, Todhunter's Theory of Equations, Williamson's Integral
Calculus.

In the Junior Class there are three lectures a week; in the Intermediate
Class, two lectures a week; in the Senior Class, three lectures a week.

II. Mixed Mathematics.

This course is designed for those students who may desire to prosecute
their studies beyond the limits of the Pure Mathematics. It embraces
applications of the Differential and Integral Calculus to selected
portions of Mechanics, Physics, and Physical Astronomy. There is one
class in Mixed Mathematics.

Text-book:—Price's Infinitesimal Calculus, Vols. III. and IV.

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 by his
being required to perform written exercises, in which the principles acquired
are applied to the solution of selected problems.

Any student entering the School has the privilege of attending all or
any of the classes, and if prepared to enter an advanced class, may often
find it highly advantageous to review his previous studies by attendance
on a lower class also.