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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, Indeterminate Coefficients and
Theory of Logarithms; 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
Logarithms; of Synthetic Geometry, Plane and Solid, with a good
training in the solution of Geometrical problems; and a knowledge
of the elements of Plane Trigonometry, including the use of Logarithmic
tables.
Text-books.—Todhunter'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; 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.
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