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; Conic Sections treated Geometrically;
Analytical Geometry of two dimensions; Spherical Trigonometry, with applications;
more 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 fair 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; Collection
of Exercises in Plane Geometry; Wells's Spherical Trigonometry; Notes on Geometrical
Conics.

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; Todhunter'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. Students who complete both courses
are entitled to a diploma of graduation in the School of Mathematics.

PH. D. COURSE.

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

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 of the two studies
elected the course will extend over two years.