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Caption: Course Catalog - 1881-1882
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40 Illinois Industrial University. In the 4th shop the ordinary machine tools of the machine shop are used. The first practice employs these machines with their cutting tools or bits, in common operations, such as turning cylinders, discs, grooves, and fillets; boring, drilling, hand-turning, milling, planing, etc. Following this is a course of practice in fitting and finishing, in which calipers, rules, etc., are introduced, and many of the various fittings employed in machinery are produced. Lectures are given in which the most favorable forms and manipulations of cutting tools and auxiliary appliances are explained. Previous to the shop work, drawings of the pieces are made by the student, and the exact thing to be done is indicated; thus mistakes are avoided and practice facilitated. The designing of such machine elements as pulleys, journal boxes, cranks, stuffiing boxes, etc., cultivates a knowledge of proportion, and of its proper representation on paper. This course of elementary practice fits the student for the advanced shop practice in designing and construction of complete machines undertaken later in the course. STUDIES. The studies are given by the year and term in the tabular view of the course. The order there indicated should be closely followed, that the student may avoid interference of his hours of recitation. The following is a detailed view: PURE MATHEMATICS, FIBST YEAR. Trigonometry.—Plain and spherical. Fundamental relations between the trigonometrical functions of an angle or arc; relations between the functions of different angles or arcs; construction and use of tables; solution of triangles; projection of spherical triangles; angles as functions of sides and sides as functions of angles; general formulas; applications. Analytical Geometry.—The point and right line in a plane; conic sections; their equations and properties; the tangent and subtangent, normal and subnormal, pole and polar, supplementary chords, conjugate diameters, etc. Differential Calculus.—Rules for the differentiation of functions of a single variable; successive differentiation; development of functions; maxima and minima of functions of a single variable; differentials of an arc, plane, area, surface, and volume of revolution. Integral Calculus.—Integration of elementary forms and rational
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