University of Virginia Library

SCHOOL OF APPLIED MATHEMATICS.

Professor Thornton.

Required for Admission to the Work of the School: The General
entrance examination, plus Mathematics 1A.

For Undergraduates.

Course 1B: General Mechanics: This class meets three times
a week. The Fall Term is devoted to a preliminary study of General
Mechanics, in which the fundamental doctrines of motion, force, and
energy are discussed and applied to the simpler problems of the
Dynamics of a Particle, the Statics of Particles and Rigid Bodies,
and the Dynamics of Revolving and Rolling Solids.

In the Winter Term the methods of Graphical Statics are studied
and applied to the analysis of the simpler forms of roofs, bridges,
beams, and masonry structures. The elementary ideas of the
Strength of Materials are also taught.

The Spring Term is given to the study of Hydrostatics, with
simple problems on the pressure of water and of air, and their applications
in the construction and use of the barometer, the hydrometer,
the hydrostatic press, and so on. The elements of Hydraulics are
also taught.

For the successful pursuit of this course the class in Mathematics
3B must be taken parallel with it, unless the student has already had
the equivalent training. Monday, Tuesday, Wednesday, 1-2. Mechanical
Laboratory.

For Graduates and Undergraduates.

Course 2C: Analytical Mechanics: The class meets three times
a week and makes a systematic study of analytical mechanics.
Mechanics 1B and Mathematics 2B give the necessary preliminary
training. The Fall Term deals with Analytical Statics; the Winter
Term with the Dynamics of a Particle; the Spring Term with the
Dynamics of a Rigid Body. The fundamental principles of the
science are applied not only to the classical problems of centers of
gravity, moments of inertia, harmonic motion, projectile motion,
planetary motion, and so on; but also to questions drawn from the
Kinematics of Machines, the Dynamics of the Steam Engine, the
Balancing of Single and Coupled Engines, and others arising in the
applications of Mathematics to Engineering. Monday, Tuesday,
Wednesday, 11-12. Mechanical Laboratory.

Primarily for Graduates.

Course 4D: Mixed Mathematics. The class will meet three
hours a week for reports, conferences and lectures. Mechanics 2C
and Mathematics 5C give the necessary preliminary training. A
reading knowledge of both French and German will be needed. The
work will be varied from year to year, being selected from the following
great subdivisions.

I. Dynamics of the Rigid Body and of Material Systems.

II. Dynamics of Fluids.

III. Theory of Elasticity and of Statically Indeterminate Structures.

IV. Attractions, Figure of the Earth and Higher Geodesy.
Hours by appointment.