University of Virginia Library

IV.—MATHEMATICS.

PROFESSOR VENABLE.

In this school there are four classes:

In the first, or Junior Class, the subjects of study are the
General Properties of Numbers and Theory of Notation, Algebra,
Geometry and Plane Trigonometry. Though Algebra and Geometry
are commenced in this class, it is very desirable that those who
enter it should not only be thoroughly acquainted with Arithmetic,
but should also have previously pursued the study of Algebra
through equations of the second degree, and of Geometry through
the first four books.

In the second, or Intermediate Class, the subjects of study are
Plane and Spherical Trigonometry, with applications to Surveying,
Navigation and Nautical Astronomy, Descriptive Geometry, with
its applications to Spherical Projections, Shades, Shadows and Perspective
and Analytical Geometry.

In the third, or Senior Class, the subjects of study are Analytical
Geometry of three Dimensions, and the Differential and Integral
Calculus. Lectures are given to this class on the History and
Philosophy of Mathematics.

There is also a fourth class, that of Mixed Mathematics, designed
for the benefit of such of the more advanced students as may desire
to prosecute their studies beyond the limits of Pure Mathematics.
The course embraces the mathematical investigation of the general
laws of equilibrium and motion, both of solids and fluids, with a
variety of applications, especially to Physical Astronomy.

The instruction in each class 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 every 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, as he may select, 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.

Text Books.—1. Junior Class.—Algebra, Legendre's Geometry
and Trigonometry.

2. Intermediate Class.—Pierce's Trigonometry, Church's Descriptive
Geometry, Puckle's Conic Sections.

3. Senior Class.—Courtenay's Calculus.

4. Class of Mixed Mathematics.—Pratt's Mechanical Philosophy.