University of Virginia Library

SCHOOL OF MATHEMATICS.

Prof. Venable.

This school embraces two distinct departments or courses:

• 1. Pure Mathematics.

• 2. Mixed Mathematics.

Pure Mathematics.

In the course of Pure Mathematics there are three classes—Junior,
Intermediate, and Senior.

Junior Class.—Theory of Arithmetical Notation and Operations, Algebra, Geometry,
Geometrical Analysis, Elementary Plane Trigonometry, with the use of Logarithmic
tables. The preparation desirable for entrance in this class is the thorough
study of Arithmetic, of Algebraic Operations through Equations of the Second Degree,
and of Plane Geometry.

Intermediate Class.—Plane and Spherical Trigonometry, with applications, Analytical
Geometry of two dimensions, the Elements of the Theory of Equations. The
preparation desirable for this class is the study of Algebra, Geometry, and Plane Trigonometry,
with the use of Logarithmic tables.

Senior Class.—Analytical Geometry of three Dimensions, Differential and Integral
Calculus, Calculus of Variations, and Theory of Equations. Lectures are given in this
class on the History of Mathematics, and on the elements of some of the modern
Mathematical Theories.

Text-Books.

Junior Class.—A portion of Todhunter's Algebra, Venable's Legendre's Geometry,
Todhunter's Trigonometry for Beginners.

Intermediate Class.—Snowball's Trigonometry, a Table of Logarithms, Puckle's
Conic Sections.

Senior Class.—Syllabus of Solid Geometry, Courtenay's Calculus, Todhunter's
Differential Calculus, Todhunter's Theory of Equations.

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.

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 Mixed Mathematics.

In the class of Mixed Mathematics there are two Lectures each week.

The instruction in each class in the School of Mathematics is conveyed
partly by lectures and partly by the systematic study of approved textbooks.
The student is assisted by full and frequent explanations from
the Professor, and constantly subjected to rigid examinations. The progress
of the student in each class is also tested by his being 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.