Catalogue of the University of Virginia

In the Junior Class are studied the Theory of Arithmetical Operations
and Notation, Algebra, Geometry and Geometrical Conic
Sections, with discussions of the Ancient Geometrical Analysis, the
Theory of Transversals, and other subjects of Modern Geometry.
The preparation desirable for this class is the thorough study of
Arithmetic, of Algebra through Equations of the Second Degree,
and of the first four books of Legendre or Euclid.

In the Intermediate Class the studies are Plane and Spherical
Trigonometry with Applications, Analytical Geometry of two Dimensions,
the Theory of Equations and Elements of Descriptive
Geometry.

In the Senior Class the subjects of study are Analytical Geometry
of three Dimensions, the Differential and Integral Calculus with
applications to the Theory of Probabilities, and the Determination
of Mean Values and Centres of Gravity, and the Calculus of Variations.

Lectures are given to this class on the History of Mathematics,
and on some points in Controversial Mathematics, with brief
discussions of the elements of Trilinear Coördinates, of the Theory
of Determinants, the Theory of Complex Fractions, and of the
principles of the Method of Quaternions.

Text-Books in Pure Mathematics:

1. Junior Class—Venable's Higher Arithmetic, Robinson's University
Algebra, Legendre's Geometry. For reference and examples,
Todhunter's Algebra, Pott's Euclid, Taylor's Conic Sections.

2. Intermediate Class—Snowball's Trigonometry, Law's Logarithms,
Puckle's Conic Sections (Analytical Geometry), Church's
Descriptive Geometry. For reference, Todhunter's Theory of Equations.

3. Senior Class—Aldis' Solid Geometry, Courtenay's Calculus,
Todhunter's Differential and Integral Calculus.

II. Mixed Mathematics.—This course is designed for those students
who may desire to prosecute their studies beyond the limits
of the Pure Mathematics. It embraces Applications of the Differential
and Integral Calculus to selected portions of Mechanics, Physics
and Physical Astronomy. There is one class in the Mixed
Mathematics.

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 student being assisted by full and frequent
explanations from the Professor, and being constantly subjected to
rigid examinations. The progress of the student in each class is
also tested by his beig required to perform written exercises, in
which the principles acquired are applied to the solution of particular
problems.

Any student entering the school has the privilege of attending all
or any of the classes, and if prepared to enter an advanced class,
may often find it highly advantageous to review his previous studies
by attendance on a lower class also.

In the Junior Class there are three lectures each week; in the
Intermediate Class, two lectures each week; in the Senior Class,
three lectures each week.

In the Class of Mixed Mathematics, three lectures each week.

University of Virginia Library

VI.—SCHOOL OF MATHEMATICS.

PROF. VENABLE.