University of Virginia Library

Pure Mathematics.

In the course of Pure Mathematics there are three classes: Junior,
Intermediate, and Senior.

Junior Class.—Theory of Arithmetical Operations and Notation, Algebra,
Geometry with discussion and applications of the Ancient Geometrical Analysis,
and Elementary Trigonometry. The preparation desirable for this class is the
thorough study of Arithmetic, of Algebra through Equations of the Second Degree,
and of the first four books of Geometry.

Intermediate Class.—Plane and Spherical Trigonometry, with applications,
Analytical Geometry of two Dimensions, the Theory of Equations, and Elements
of Descriptive Geometry.

Senior Class—Analytical Geometry of three Dimensions, the Differential and
Integral Calculus with applications to the Theory of Probabilities, and the Determination
of Mean Values and the Calculus of Variations. Lectures are given
to this class on the History of Mathematics, and on some points in Controversial
Mathematics, with brief discussions of the elements of Trilinear Coordinates, of the
Theory of Determinants, the Theory of Complex Functions, and of the principles
of the Method of Quaternions.

Text-Books—Junior Class—Venable's Higher Arithmetic, Todhunter's Algebra,
Venable's Geometry.

Intermediate Class.—Snowball's Trigonometry, Law's Logarithms, Puckle's
Conic Sections (Analytical Geometry), Church's Descriptive Geometry. For reference.
Todhunter's Theory of Equations.

Senior Class.—Aldis' Solid Geometry, Courtenay's Calculus, Todhunter's Differential
and Integral Calculus.

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