Catalogue of the University of Virginia | ||

#### VI.—SCHOOL OF MATHEMATICS.

### PROF. VENABLE.

This School embraces two distinct departments or courses:

1. Pure Mathematics.

2. Mixed Mathematics.

I. Pure. Mathematics.—In the course of Pure Mathematics

there are three classes, Junior, Intermediate and

Senior.

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 Functions, and of the

principles of the Method of Quaternions.

Text-Books in Pure Mathematics:

1. Junior Class—Venable's Higher Arithmetic, Todhunter's

Algebra, Legendre's Geometry. For reference and

examples, 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 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.

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.

Catalogue of the University of Virginia | ||