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).
