Repository: UIHistories Project: Course Catalog - 1899-1900 [PAGE 231]

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MATHEMATICS

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reference books. It will comprise lectures on the catalog, classification, the reference-room, the reading-room, and groups of books, such as indexes, dictionaries, encyclopaedias, atlases, handbooks of general information, handbooks of history, statistics, quotations, etc. /.; arrange time; (1). Professor SHARP. MATHEMATICS 1. ADVANCED ALGEBRA.—For students in courses requiring spherical trigonometry. This course presupposes a thorough knowledge of elementary algebra through simultaneous quadratics and proportion. Students, who for any reason have not had this elementary work recently, would find it to their advantage to review it thoroughly before commencing this course. The work will cover the following topics: Progressions, indeterminate equations, binomial theorems for fractional and negative exponents, undetermined coefficients, decompositions of fractions, theory of limits, convergency and divergency of series, reversion of series, summation of series, logarithms, continued fractions, permutations and combinations, probability, and the loci of equations. / . ; Tu., Th.; section A, 2;

section B, 4; (s). Mr. COAR.

2. ADVANCED ALGEBRA.—For students in courses not requiring spherical trigonometry, to be taken with course 4. This course will cover all the work given in course 1, and in addition will include a short introduction to the general theory of equations, with applications to the solution of numerical equations. / . ; M., W., F.; section A,- 1; section B, 2; section C, 3; section D, 4; section E, 6; (3).

Associate Professor TOWNSEND, Mr. MILNE, Mr. COAR, Mr. SHOUT. 3. PLANE AND SPHERICAL TRIGONOMETRY.—This course covers

the same ground in plane trigonometry as course 4. In addition to the work outlined there, about two-fifths of the term will be given to developing the general principles and applications of spherical trigonometry. / . ; M., W., F.; section A, 2; section B, 4; (3). Mr. COAR. Required: Solid and Spherical Geometry. 4. PLANE TRIGONOMETRY.—The following topics will be taken up, viz.: Measurements of angles, trigonometric functions and their fundamental relations, functions of the sum and the difference of two angles, functions of twice an angle and of half an angle, the construction and use of logarithmic tables, solution of trigonometric equations, the relations between the sides of a triangle and the functions of its angles, the solution of triangles, Demoiyre's theorem and trigonometric series. It is intended that this course shall be