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Caption: Course Catalog - 1879-1880
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40 Illinois Industrial University. Evolutes, involutes and envelopes; Discussion of algebraic and transcendental curves and surfaces ; Tangent and normal planes ; Partial differentials of surfaces and volumes. Integral Calculus. —Integration of transcendental and irrational differentials ; Differentials of higher orders ; Differential equations ; Rectifications,! quadrature and cubature in general. Spherical Trigonometry.— General Formulas ; Solution of Spherical Triangles. Calculus of Variations will be taught to advanced students. PHYSICS. The course in Physics is complete and thorough, embracing the four kinds of work following : 1. Recitations, five exercises a week, in which a text book is used as a guide. 2. Experiments in Physical Laboratory one day each week, in which the student uses the instruments in testing the principles taught. 3. Illustrated experiments once each week, in which the more costly apparatus is used before the whole class, in such experiments as are difficult to perform, and which are most effective when prepared for an audience. 4. Higher physical experiments by advanced classes, consisting either of researches, or of reviews of careful and elaborate experiments previously worked up by others. The department of Physics is amply provided with illustrative apparatus for use in the lecture-room, and an extensive Physical Laboratory. The collection of instruments, costing over $5,000, embraces Acoustic apparatus from R. Koenig, of Paris; apparatus for Heat and Molecular physics from J. Salleron, of Paris ; for Light, Optics and Electricity from Stoehrer, of Leipsic, and Browning and Newton, of London; Pneumatic and Electrical apparatus from E. S. Ritchie, of Boston ; and a large number of pieces prepared at the Mechanical Shops of the University. It includes, also, Browning's Electric Lamp; and from Eliot Bros., London, Resistance Coils, Galvanometers, etc., for higher researches in Electricity. TECHNICAL STUDIES. Cinematics, and Principles of Mechanism.—Relative Motion of points in a system of connected pieces ; Motion independent of Force; Velocity ratio ; Investigation of motion of elementary parts of machines, as Friction and Noncircular Wheels in rolling
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