UIHistories Project: A History of the University of Illinois by Kalev Leetaru
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Repository: UIHistories Project: Course Catalog - 1889-1890 [PAGE 87]

Caption: Course Catalog - 1889-1890
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MATHEMATICS.

81

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; elements of analytical geometry. 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 eclipse, of an hyperbola; length of an arc of a circle, of a parabola, etc.

PHYSICS AND ASTRONOMY.

See College of Engineering, page 44.

NATURAL SCIENCE.

See College of Natural Science, page 66.

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.

JUNIOR YEAR.

History of Greece and Rome, and of other ancient nations; Ancient Geography; Mediaeval History; Modern History; European Geography.

SENIOR YEAR.

Constitutional History of England and the United States; History of Civilization; Political Economy.