MATHEMATICS.
Mathematics A1. 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 A2. 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, or one unit if whole
year is devoted to it.)
Mathematics B. 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 C. 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 D. 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.)
