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Caption: Course Catalog - 1893-1894
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122 UNIVERSITY OF ILLINOIS. 3. Trigonometry.—For students in the Colleges of Agriculture, Science, and Literature. Trigonometry, plane 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; angles as functions of sides, and sides as functions of angles; applications. Oliver, Wait, and Jones's Trigonometry. Winter term, full study. Assistant Professor MYERS. Required: Math. 1. 4. Trigonometry.—For students in College of Engineering. The ratio system is studied chiefly, but the necessary connection between it and the line system is carefully proved and illustrated. Students are frequently required to demonstrate the same proposition, using first the line values, then the ratio value of the functions. The subjects taught are the circular measurement of angles, general formulas of plane and spherical trigonometry, relations between functions of multiples of go° plus or minus an angle, solution of right and oblique plane triangles, of spherical right and oblique triangles, Napier's rules and analogies, and practical applications of principles 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. Winter term, full study. Assistant Professor MYERS. 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 of the conic sections. Coffin's Sections and Analytical Geometry. Spring term, fullstudy. Assistant Professor MYERS. Required: Math. 1, 3. 6. Analytical Geometry.—The aim is to acquaint the student 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,
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