 | Catalogue of the University of Virginia |  |
VI.—MATHEMATICS.
PROFESSOR VENABLE.
In this school there are four classes:
In the first, or Junior Class, the subjects of study are Arithmetic
and Theory of Notation, Algebra, Geometry and Geometrical
Conic Sections. Though Algebra and Geometry are
commenced in this class, it is very desirable that those who
enter it should have previously pursued the study of Algebra
through equations of the second degree, and of Geometry
through the first four books of Legendre.
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, Analytical Geometry of two Dimensions and Theory
of Equations.
In the third, or Senior Class, the subjects of study are Analytical
Geometry of three Dimensions, the Differential and Integral
Calculus, and Calculus of Variations. Lectures are given
to this class on the History and Philosophy of Mathematics.
The fourth class, that of Mixed Mathematics, is 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
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.—Bourdon's Algebra, Legendre's
Geometry, Conic Sections.
2. Intermediate Class.—Pierce's Trigonometry, Church's
Descriptive Geometry, Puckle's Conic Sections (Algebraic
Geometry.)
1. Senior Class.—Courtenay's Calculus.
4. Class of Mixed Mathematics.—Pratt's Mechanical Philosophy.
In this school a prize has been established by the authority
of the Board of Visitors, consisting of a gold medal, named in
honour of the late Professor Courtenay. This prize is given
for the best original solutions of problems proposed at competitive
examinations, held during the session, in the Senior Class.
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