University of Virginia Library

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.

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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.