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;
problem's 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 textbooks, 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 surface. (One unit.)
Mathematics C. Solid Geometry, with Original Exercises.—The usual
theorems and constructions of good textbooks, 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 principle 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.)
