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 Geometry. The preparation desirable
for entrance into this class is the thorough study of Arithmetic, of Algebraic Operations
through Equations of the Second Degree, and of Plane Geometry.

Intermediate Class.—Plane Trigonometry, Analytical Geometry of two dimensions,
the Elements of Descriptive Geometry, and of the Theory of Equations.

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.—Venable's Higher Arithmetic, Todhunter's Algebra,
Venable's Geometry.

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.

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

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 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 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.