University of Virginia Library

SCHOOL OF MATHEMATICS.

Professor Venable.

This School embraces the following courses:

B. A. COURSE.

A.—First Year. This class meets three times a week (three hours), and
studies the 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 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.

B.—Second Year. This class meets three times a week (three hours), and
studies Geometrical Analysis, with exercises for original solution; Plane Trigonometry,
with applications; Analytical Geometry of two dimensions; Spherical
Trigonometry, with applications; Advanced Algebra, including 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.

Text-Books.—Todhunter's Plane Trigonometry; Puckle's Conic Sections; The Professor's
collection of Exercises in Plane Geometry; Wells's Spherical Trigonometry.

Candidates for the B. A. degree who elect Mathematics must complete the
work of this course.

M. A. COURSE.

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.

Candidates for the M. A. degree who elect Mathematics must complete the
work of both the above courses.

PH. D. COURSE.

In Pure Mathematics advanced work will be given in the Modern
Higher Geometry, Analytical Geometry, the Infinitesimal Calculus, Higher
Algebra and Quaternions.

In Mixed Mathematics the student is required to pursue 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. A diploma of graduation is conferred
in Mixed Mathematics.

Text-Books.—Price's Infinitesimal Calculus, Vols. II. and III.; Cheyne's Planetary
Theory.

Candidates for the Ph. D. degree who elect Mathematics will be assigned
work in both directions. If Mathematics is the chief study the course will extend
over two years.