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I. Pure Mathematics.
Junior Class.—This class meets three times a week (3 hours), and
studies the Theory of Arithmetical Notations and Operations; Algebra
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 this class 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 necessary for this class is a thorough knowledge of
Algebra through the Binomial Theorem and Logarithms; of Synthetic
Geometry, Plane and Solid, with a good training in the original solution
of Geometrical problems; and a knowledge of the elements of
Plane Trigonometry, including the use of Logarithmic tables. A certificate
of proficiency in Junior and Intermediate Mathematics is required
for the B. A. course in Mathematics.
Text-books.—Todhunter's Trigonometry; Puckle's Conic Sections; The Professor's
collection of Exercises in Plane Geometry; Wells's Spherical Trigonometry.
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 Printed Notes on Solid Geometry (Analytical);
Todhunter's Differential Calculus; Courtenay's Calculus; Williamson's Integral
Calculus; Todhunter's Theory of Equations.
Graduation in Pure Mathematics is necessary for those students who
make Mathematics one of their studies for the degree of Master of
Arts. 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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