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Caption: Course Catalog - 1878-1879
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44 Illinois bidustrial University. lines, surfaces of 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. SECOND YEAR. Advanced Algebra.—Binomial Theorem ; Properties and summation of series. Exponential quantities, Logarithms. General theory and methods of solving equations. Analytical Geometry.—Loci in space ; Surfaces of the second order. Differential Calculus.—Differentials and Maxima and Minima of functions of two or more variables ; Osculatory curves ; Radius of curvature ; 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
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