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Caption: Course Catalog - 1894-1895
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136 UNIVERSITY OF ILLINOIS. to the solution of astronomical problems. Teaching is in part by text book, and in part by assigning principles to be demonstrated and problems to be solved outside of the text book. Oliver, Wait, and Jones's Trigonometry. Mr. MOGENSON. Winter term, full study. Required: Math. 2. 5. CONIC SECTIONS (geometrical method).—Definitions and general properties of the ellipse, hyperbola, and parabola, curvature of the conic sections; elements of analytical geometry. Properties and relations of the point and right line in a plane, and of the conic sections. Coffin's Comic Sections and Analytical Geometry. Spring term, full study. Mr. MOGENSON. Required: Math. 1, 3. 6. ANALYTICAL GEOMETBY.—The aim is to acquaint the stu- dent with analytical methods of investigation and to familiarize him with some of the most recent developments in synthetic geometry; to make him more skillful in the use of algebraic processes, especially as a means of demonstrating geometric properties of loci. Subjects considered are the elementary theory of the point and right line in a plane; use of abbreviated notation; elementary theory of the conic sections, their equations and properties developed analytically; poles and polars; synthetic geometry of the circle, and the discussion of the general equation of the second degree. Xewcornb's Analytical Geometry. Spring term, full study. Mr. MOGENSON. Required: Math. 2, 4. 7. DIFFERENTIAL CALCULUS. —Variables and functions; limits and infinitesimals; differentials and derivatives; differentiation of explicit functions, implicit functions, and functions of several variables; derivatives of higher orders; successive derivatives; developments in series; maxima and minima of functions; indeterminate forms; plane curves, tangents, and normals; asymptotes, singular points, and curve tracing; theory of envelopes, of curvature, of evolutes and involutes. Newcomb's Differential and Integral Calculus. SHATTUCK. Fall term, full study. Professor Required: Math. 2, 4, 6. 8. ADVANCED ANALYTICAL GEOMETRY.—Position and direction in space; direction and angles; projections of lines, direction cosines; transformation of co-ordinates; the general, and normal equations of the plane; also in terms of the intercepts; the
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