Mathematics.—(For the first division, about a quarter of the class.)—Differential and integral calculus. The higher geometry. Analytical mechanics and hydraulics.

(For the second division, about three-quarters of the class.)—Repetition of the most important part of the studies already gone through in the first and second cœtus, with practical useful problems. Mechanics and hydraulics, as well as some instruction necessary for artillerists, but so as not to require the higher analysis, and more of a practical than of a theoretical nature.

Chemistry (Instruction.)—The necessary preliminary knowledge of theoretical principles. Treatise of separate substances (of the metalloids and their indifferent combinations, of the acids, of the metals,) all illustrated by experiments. To conclude with a survey of the composition and alteration of the surface of the globe from a chemical point of view.

(Manipulation.)—Instruction in the principles of qualitative chemical analysis, illustrated by experiments. Manipulation by the students under the superintendence of the instructor. Instruction in the principles of quantitative analysis. Analysis by the students, of substances employed by the artillery. (Only four or five of the best qualified take part in these experiments.)

French Language.—Select conversation (only for the already selected students in the second cœtus.)

The Horse.—Natural history and anatomy of the horse. Good and bad points. Food. Internal and external sickness, with the mode of discovery and cure of the same, as far as practicable, by the means to be had on actual service. Shoeing.

Artillery Drawing.—Continuation of the instruction. Matériel of the artillery, represented as combined artillery objects, partly on a given scale, partly drawn from a real object, by the more skillful students.

Artillery Construction Drawing.—Construction of each description of cannon. Principles of their forms, proportions, and sizes. Problems on the construction of existing and not existing guns, carriages, &c. Construction of the artillery matériel of foreign powers.

Fortification Drawing.—Projects of field fortification, to be constructed of earth, or of earth and gabions, with application to the nature of the ground. Drawings with the use of Von Prittwitz’ copies of the fortification of places, as a continuation of the fortification drawings begun in the second cœtus. For all these exercises in projects and drawings, the concert of the teacher of exclusive engineering is required.

Plan Drawing.—Practice in copying and reducing large plans. Drawing of plans of battles with the position of the troops, and of plans of sieges, with the trenches and batteries.