MATHEMATICS.
Mathematics A. Algebra to Quadratic Equations:—The four fundamental
operations for rational algebraic expressions; factoring, determination
of highest common factor and lowest common multiple by factoring;
fractions, including complex fractions; ratio and proportion; linear
equations, both numerical and literal, containing one or more unknown
quantities; problems depending on linear equations; radicals, including
the extraction of the square root of polynomials and numbers; exponents
including the fractional and negative. (One unit.)
Mathematics B. Quadratic Equations, Progressions, and the Binomial
Formula:—Quadratic equations, both numerical and literal; simple
cases of equations with one or more unknown quantities, that can be solved
by the methods of linear or quadratic equations; problems depending upon
quadratic equations; the binomial formula for positive integral exponents;
the formulas for the nth term and the sum of the terms of arithmetic and
geometric progressions, with applications. (Half unit.)
Mathematics C. Plane Geometry, with Original Exercises:—The
usual theorems and constructions of good text-books, including the general
properties of plane rectilinear figures; the circle and the measurement of
angles; similar polygons; areas; regular polygons and the measurement
of the circle. The solution of numerous original exercises, including loci
problems. Application to the mensuration of lines and plane surfaces.
(One unit.)
Mathematics D1. Solid Geometry, with Original Exercises:—The
usual theorems and constructions of good text-books, including the relations
of planes and lines in space; the properties and measurement of
prisms, pyramids, cylinders, and cones; the sphere and the spherical triangle.
The solution of numerous original exercises, including loci problems.
Applications to the mensuration of surfaces and solids. (Half unit.)
Mathematics D2. Plane Trigonometry:—Definitions and relations
of the six trigonometric functions as ratios: circular measurement of
angles; proofs of principal formulas; product formulas; trigonometric
transformations. Solution of simple trigonometric equations. Theory and
use of logarithms (without introducing infinite series). Solution of right
and oblique triangles with applications. (Half unit.)
