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52 UNIVERSITY OF ILLINOIS. subjects in which instruction is given are functions and their notation; the progressions; theory of numbers; permutations and combinations; probabilities; convergency and divergency of series; summation of series; undetermined coefficients; doctrine of limits; logarithms and general theory of equations. Newcomb's College Algebra. Fall term, full study. Assistant Professor MYERS. 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. Wells's Essentials of 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 values of the functions. The subjects taught are the circular measurement of angles, general formulae of plane and spherical trigonometry, relations between functions of multiples of 900 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 solutions 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. Welts's Essentials of 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 o£ 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, full study. 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
 