UIHistories Project: A History of the University of Illinois by Kalev Leetaru
N A V I G A T I O N D I G I T A L L I B R A R Y
Bookmark and Share



Repository: UIHistories Project: Course Catalog - 1894-1895 [PAGE 135]

Caption: Course Catalog - 1894-1895
This is a reduced-resolution page image for fast online browsing.


Jump to Page:
< Previous Page [Displaying Page 135 of 270] Next Page >
[VIEW ALL PAGE THUMBNAILS]




EXTRACTED TEXT FROM PAGE:



GENERAL, LIST OF SUBJECTS.

135

MATHEMATICS.

1. ADVANCED ALGEBRA.—For students in the Colleges of Ag-

riculture, Science, Literature, and Arts. Functions and their notations; series and the theory of limits; imaginary quantities; general theory of equations. Topical reviews of all preceding algebraic processes. Wells's College Algebra. Fall term, full study. students in the college of Engineering. Principles of small practical value are subordinated to those of higher utility. Accuracy and dispatch in the use of principles are continually emphasized. A topical review of principles of elementary algebra is made from time to time. This review is sometimes made by requiring students to solve practical problems illustrative of principles not well understood. Some of the most important 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. Wells's College Algebra. Fall term, full study.

Mr. MOGENSON. Mr. MOGENSON. 2. ADVANCED ALGEBRA.—For

3. TRIGONOMETRY.—For students in the Colleges of Literature and Arts, Science, and Agriculture. 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. Oliver, Wait, and Jones's Trigonometry. Winter term, full study. Mr. MOGENSON. 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 formulas of plane and spherical trigonometry, relations between functions of multiples of 90° 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