I. Pure Mathematics.
Junior Class.—Theory of Arithmetical Notation and Operations;
Algebra, through the Binomial Theorem; Geometry, Plane and Solid;
Geometrical Analysis, with numerous exerciscs 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."
This class meets three times a week (4½ hours).
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.—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.
This class meets twice a week (3 hours).
Text-books:—Snowball's Trigonometry, Puckle's Conic Sections, the Professor's
Collection of Exercises in Plane Geometry.
Senior Class.—The subjects taught in this class are pursued in the
following order:
1. Analytical Geometry of three dimensions, through the discussion of
the Conicoids and some Curves in Space.
2. Differential and Integral Calculus, with various applications.
3. A short course of the Calculus of Variations.
4. The Theory of Equations, and lectures on the History of Mathematics.
This class meets three times a week (4½ hours).
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.
