Catalogue of the University of Virginia | ||

#### III.—MATHEMATICS.

#### PROFESSOR COURTENAY.

In this school there are four classes.

Of these, the Junior commences with the theory of Arithmetic,

the student being supposed to have rendered himself practically

familiar with its various rules before entering the University. The

elements of Algebra are then taught, and after the first difficulties

are mastered, the subjects of Algebra and Synthetic Geometry are

pursued simultaneously.

In the second or Intermediate Class, after completing the course

of Algebra, commenced in the preceding class, there are taught

successively the theory of Plane and Spherical Trigonometry,

with the application of the former to the measurement of heights

and distances, and of the latter to nautical Astronomy, the theory

and practice of Land Surveying and Levelling, Navigation, and

Descriptive Geometry, with its applications to Spherical Projections,

Shadows, and Perspective.

The Senior Class begins with the subject of Analytical Geometry,

and subsequently studies the Differential Calculus, concluding

the course of Pure Mathematics with the Integral Calculus.

There is also a class of Mixed Mathematics, designed exclusively

for such of the more advanced students as may desire to study

the subjects taught therein.

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.

The text books used are: for the Junior Class, Lacroix' or

Davies' Arithmetic, Davies' Bourdon's Algebra, and Legendre's

Geometry. For the Intermediate Class, Bourdon's Algebra, Legendre's

Geometry and Trigonometry, Davies' Surveying, and

Descriptive Geometry. For the Senior Class, Davies' Analytical

Geometry, Young's Differential Calculus, and Young's Integral

Calculus.

Any student entering the school has the privilege of attending

all or any of the classes, as he may elect, and if prepared to enter

an advanced class, may often find it highly advantageous to review

his previous studies by an attendance on a lower class also.

Catalogue of the University of Virginia | ||