UIHistories Project: A History of the University of Illinois by Kalev Leetaru
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Repository: UIHistories Project: Course Catalog - 1886-1887 [PAGE 49]

Caption: Course Catalog - 1886-1887
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Pure Mathematics.

ADMISSION.

43

Applicants should be at least eighteen years of age. None are admitted under fifteen. The requirements for admisssion embrace the common school branches and the studies of the preliminary year. The examinations in Mathematics are especially thorough. Those who make further, preperation than that required before entering can make their course more extensive and profitable. The following suggestions are offered to such as wish to make thorough work: Either French er German are studied during two years; some preparation in Latin will be of great assistance in these languages. The engineer and architect should be adepts in the various departments of drawing and some previous study of this branch will be of great advantage. "Warren's Draughting Instruments" may be used as a text book, and the drawings made on smooth paper, eight by ten inches.

STUDIES PUKSUED BY ALL ENGINEERING STUDENTS.

The subjects common to all the schools in the College of engineering will be described first ; the topics peculiar to each will be noticed under their specific names.

PUBE MATHEMATICS, FIRST YEAR.

Trigonometry.—Plain and spherical. Fundamental relations between trigonometrical functions of an angle or arcs; construction and use of tables; solution of triangles; projection of spherical triangles; angles as functions of sides and sides as functions of angles; general formulas; applications. Analytical Geometry.—The point and right line in aplane; conic sections, their equations and properties; the tangent and subtangent; normal and subnormal, pole and polar, supplementary chords, conjugate diameters, etc. Discussion of the general equation of the second degree containingtwo variables. Advanced Algebra.—Functions and their notation; series and the theory of limits; imaginary quantities; general theory of equations.

PURE MATHEMATICS, SECOND YEAR.

Differential Calculus.—Rules for the differentiation of functions of a single variable; successive differentiation; de-