Repository: UIHistories Project: Board of Trustees Minutes - 1890 [PAGE 222]

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LITERATURE AND

SCIENCE.

225

edge and training. They meet t h e wants of those who wish t o prepare themselves for the labors of the press as editors and publishers, for teachers in the higher institutions, or for t h e t r a n s a c t i o n of public business.

INSTRUCTION.

The plan of instruction embraces, besides t h e ordinary textbook study, lectures and practical exercises in all the departments, including original research, essays, criticism, and other work intended t o illustrate the studies pursued, and t o exercise t h e student's own powers. A prominent aim will be t o teach the right use of books, and t h u s t o prepare the students for self-directed investigation and study, which will extend beyond t h e curriculum of his school and t h e period of his g r a d u a t i o n . With this view, c o n s t a n t use of the already ample and continually enlarging stores of the library will be required and encouraged. Of special value as an incentive t o , and the means of practice in, English composition, should be mentioned T H E I L I J N I , a semi-monthly paper edited and published by the students of the several colleges, each of which is appropriately represented in its columns. A printing office has been provided in the mechanical building, and a press with a requisite supply of type. The Library is well supplied with works illustrating the several periods of English, American, French, and German literature, as also those of ancient literature. I t contains a t present over nineteen t h o u s a n d well selected volumes, and is constantly growing by purchase a t home and abroad. Valuable American a n d foreign periodicals are received regularly in the reading room. The following subjects are common t o the schools of this college, and m a y be appropriately described in this place.

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 ; 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 n circle, of an ellipse, of an hyperbola; length of an arc of a circle, of a parabola, etc.

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