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
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; 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.
