Repository: UIHistories Project: Course Catalog - 1898-1899 [PAGE 219]

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MATHEMATICS

217

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; (2). 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. I.,\M., W., F.; section A, 1; section B, 2; section C, 3; section D, 4; section E,-6; (3).

Mr. BRENKE, Mr. MILNE, and Mr. COAR. 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 \.ill be taken up, viz.: Measurement 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 taken with course 2 in advanced algebra. / . ; Tu., Th.; section A, 1; section B, 2; section C, 3; section D, 4; section E, 6; (2). Mr.

BRENKE, Mr. MILNE, and Mr. COAR. 6. ANALYTICAL GEOMETRY.—The aim is to acquaint the student

with analytical methods of investigation and to familiarize him with some of the most recent developments in synthetic geometry; to make him more skillful in the use of algebraic processes, especially as a means of demonstrating geometric properties of loci. Subjects considered are the elementary theory of the point and right line in a plane; use of abbreviated notation ; elementary theory of the conic sections, their equations and properties developed analytically; poles and polars; synthetic geometry of the circle, and the discussion of the general equation of the second degree, and of some higher plane