Repository: UIHistories Project: Course Catalog - 1888-1889 [PAGE 87]

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UNIVERSITY OF ILLINOIS.

SUBJECTS COMMON TO THE SCHOOLS OF THIS COLLEGE.

MATHEMATICS.

First Term.—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. Second Term.—Conic sections, geometrical method. Definitions and general properties of the ellipse, hyperbola, and parabola; curvature of the conic sections. Analytical geometry, elements of. Properties and relations of the point and right line in a plane; of the conic sections. Third Term.—Differential calculus; the differentiation of functions of a single variable; development of functions. Infinitesimals; order of an infinitesimal; the substitution of one infinitesimal for another; the limit of the ratio of two infinitesimals; the limit of the sum of infinitesimals. Integral calculus; formulas for direct integration and by substitution; integration by parts; simplification by transformation; area of a segment of a circle, of an ellipse, of an hyperbola; length of an arc of a circle, of a parabola, etc.

PHYSICS AND ASTRONOMY.

For these subjects, see College of Engineering.

NATURAL SCIENCE.

See College of Natural Science.

HISTORY AND SOCIAL SCIENCE.

The historical studies are designed to afford a general view of the history, social organization, and progress of the race. They embrace also the history of the arts and sciences, and of civilization, the principles of civil polity and law, the philosophy of history, and the principles of political economy and constitutional law. The course occupies six terms in the Junior and Senior years of the University Course.