Detailed Syllabus for Mathematics, 3rd Year of the New Secondary

This third-year program is laid out in four columns: theme, competencies, contents and suggested activities. The algebra pages cover second-degree equations with the canonical form, the discriminant, factoring and roots, biquadratic equations, irrational equations and inequalities, and the sign of a quadratic trinomial. They then treat functions and mappings, with injections, surjections, bijections, restrictions, reciprocals and composition. The trigonometry pages cover oriented angles, the trigonometric circle, the periodicity and parity of trigonometric functions, remarkable values, transformation formulas and simple trigonometric equations. Analysis topics include limits, derivatives and sequences, direction of variation of a function from its derivative, extrema and graphs of polynomial functions. Vectors, barycenters, the scalar product and statistics also appear. The document runs 14 pages and dates from 2007.