3. The instruction in French, in which only those already selected in the second cœtus take part, also is given on two afternoons.
4. For mathematical instruction the class is formed into two divisions. The first consists of those pupils who, in the opinion of the teachers, are able to follow profitably the instruction in the higher mathematics. The remainder form the second division, and go over a second time what they have already learned, to which is added a variety of questions in applied mathematics, important to the Artillery and the Engineers.
TENOR OF THE STUDIES IN GENERAL.
First Cœtus.
Artillery.—Elementary Description of all the matériel of the Prussian Artillery, and of the basis of its arrangement. Effect of the different natures of guns, and the simplest rules for their employment.
General Military Engineering.—The elements of field and permanent fortification. The principles of the attack and defense of fortresses. General notions on the construction of military bridges.
Tactics.—General organization of an army. Formation of the different kinds of troops. Fundamental rules for the placing, moving, and fighting of the separate arms, as well as their combination. Occupation of ground. Attack and defense of positions. Field-service.
Mathematics.—Algebra and Arithmetic. Simple and higher equations. Progression series. The binomial theory for integral exponents. Series of powers and logarithms. Analytical trigonometry. Plane and analytical geometry. Plane trigonometry.
French Language.—Translation from French into German, with parsing.
Rules and Regulations.—Official correspondence, with examples. Discipline. Military code. Courts-martial. Courts of honor. Service in and out of garrison.