 | The University of Virginia record February, 1909 |  |
SCHOOL OF APPLIED MATHEMATICS.
Professor Thornton.
Required for Admission to the Work of the School: The General
entrance examination, plus Mathematics 1A.
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,
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
2B must be taken parallel with it, unless the student has already had
the equivalent training.
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.
Course 3D: Mixed Mathematics. The class will meet three
hours a week for reports, conferences and lectures. Mechanics 3C and
Mathematics 3C give the necessary preliminary training. The work will
be varied from year to year, being selected from the following great
subdivisions.
I. Dynamics of the Rigid Body of Material Systems.
II. Dynamics of Fluids.
III. Theory of Elasticity and of Statically Indeterminate Structure.
IV. Attractions, Figure of the Earth and Higher Geodesy. A reading
knowledge of both French and German will be needed.
| The University of Virginia record February, 1909 | |