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Caption: Course Catalog - 1877-1878 Version A
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32 Illinois Industrial University. ciently trained, fitting is begun, and the square, bevel, rule, compasses and other auxiliary bench tools are brought into requisition. Pieces are then fitted together by the file, with surfaces carefully finished in the best manner of the fitter's art. The 5th shop involves the use of the ordinary machine tools of the machine shop. The first practice employs three machines with their usual cutting tools or bits, in the common operations, such as turning cylinders, disks, grooves and fillets; boring, drilling, hand-turning, milling, planing, etc. Following this is a course of practice in fitting and finishing, in which the usual aids, such as calipers, rules, etc., are introduced, and many of the various fittings employed in machinery are produced. Polishing and finishing of surfaces are also practiced. Lectures are combined with this practice, in which the most favorable forms and manipulation of cutting tools and auxiliary appliances are explained. Previous to the shop work, the pieces are drawn, by the student, and the exact thing to be done is indicated, thus avoiding mistakes, and facilitating practice. Simultaneously with this practice, the designing of such machine elements as pulleys, journal boxes, cranks, stuffing boxes, etc., cultivates a knowledge of proportion, and of its proper representation on paper. This practice in designing and drawing is a leading feature in the course of instruction. This 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 of studies 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. Advanced Geometry.—Applications of Algebra to Geometry, Transversals, Harmonic Proportions, etc. Trigonometry.—Analytical and Plane. Relations between the functions of an arc; Formation and use of Tables; Solution of plane triangles. Analytical Geometry.—Construction of equation; Discussion, in a plane, of the point, right-line, circle, ellipse, parabola and hyperbola; Higher plane curves, cycloid, cissoid of Diodes, etc. Differential Calculus.—Differentials of algebraic and transcendental functions; Maclaurin's Theorem, Taylor's Theorem, Maxima and Minima of functions of one variable, Equation of Tangents, normals, sub-tangents, sub-normals, etc.; Differentials of lines, surfaces and volumes. Integral Calculus.—Integration of elementary forms and of rational fractions, Rectification of plane curves, quadrature of plane areas and surfaces of revolution, and cubature of solids of revolution. Advanced Algebra.—Binomial Theorem, Properties and summation of series. Exponential quantities, Logarithms. General theory and methods
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