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SCHOOL OF MATHEMATICS.
Professor Venable.
This School embraces two courses, as follows:
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.
II. Mixed Mathematics.
This course is designed for those students who may desire to prosecute
their studies beyond the limits of Pure Mathematics. It embraces
an extended course of reading under the instruction and guidance of
the Professor on the applications of the Differential and Integral Calculus
to Mechanics, Physical Astronomy, and selected portions of
Physics. The class in Mixed Mathematics meets once a week. A
diploma of graduation is conferred in Mixed Mathematics.
Text-Books.—Price's Infinitesimal Calculus, Vols. II and III; Cheyne's Planetary
Theory.
The instruction in each class in the School of Mathematics is conveyed
partly by lectures and partly by the systematic study of approved
text-books. The progress of the student in each class is tested constantly
by his being called upon to apply the principles acquired to
the independent solution of selected problems.
The Graduate Course includes the course of Mixed Mathematics,
with advanced studies in Modern Higher Geometry, Infinitesimal Calculus,
Doctor of Philosophy who select the Mathematics as their chief study,
the graduate course will extend through two years.
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