Military schools and courses of instruction in the science and art of war, / in France, Prussia, Austria, Russia, Sweden, Switzerland, Sardinia, England, and the United States. Drawn from recent official reports and documents. Revised Edition

by Unknown

Straight line referred to rectangular, oblique, and polar coördinates. The circle, parabola, ellipse, and hyperbola, referred to rectangular and polar coördinates. The equation to the tangent, and the normal to the circle, parabola, ellipse, and hyperbola referred to rectangular axes, the sections of a right cone made by a plane.

Applications of the above to solutions of simple problems.

Differential Calculus.—Differential coefficient of simple, inverse, trigonometrical, and complex functions; proof of Taylor’s and Maclaurin’s theorems and examples of expansions of functions; differentiation of functions of two variables; limiting values of functions which assume an indeterminate form; change of independent variable; maxima and minima of functions of one variable; tangents, normals, and asymptotes to plane curves; differential coefficients of arcs, areas, etc.; radius of curvature (Hall or Todhunter).

Integral Calculus.—Meaning of integration; examples of simple integration; integration by parts; lengths of curves; areas of plane curves (Hymer, Hall, or Todhunter).

Elementary Mechanics.—(Whewell or Parkinson.)

Chemistry.—The general laws of chemical combinations,—the chemistry of oxygen, hydrogen, carbon, and nitrogen, and of their chief inorganic compounds. The metallurgic chemistry of iron. The chemical principles of the manufacture and explosion of gunpowder.

Physics.—In heat,—the subject of “thermometric heat” as treated in the first seven chapters of “Tyndall on Heat.”

In electricity,—the subject of frictional electricity.

Officers competing are expected to be able to read French scientific works, such as Helie’s “Traité de Balistique,” Piobert’s “Cours d’Artillerie,” etc., etc., reference being constantly made to such works during the course of instruction.

At the conclusion of each year’s course there will be a final examination in the subjects read during the year; the marks gained at the first examination being carried forward to the second, when certificates will be given to those students who are found qualified.