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 Notation and Operations, Algebra, Geometry,
Geometrical Analysis, Elementary Plane Trigonometry, with the use of Logarithmic
tables. The preparation desirable for entrance in this class is the thorough
study of Arithmetic, of Algebraic Operations through Equations of the Second Degree,
and of Plane Geometry.

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.

Senior Class.—Analytical Geometry of three Dimensions, Differential and Integral
Calculus, Calculus of Variations, and Theory of Equations. Lectures are given in this


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class on the History of Mathematics, and on the elements of some of the modern Mathematical
Theories.

Text-Books.

Junior Class.—A portion of Todhunter's Algebra, Venable's Legendre's Geometry,
Todhunter's Trigonometry for Beginners.

Intermediate Class.—Snowball's Trigonometry, a table of Logarithms, Puckle's
Conic Sections.

Senior Class.—Syllabus of Solid Geometry, Courtenay's Calculus, Todhunter's
Differential Calculus, Todhunter's Theory of Equations.

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.