Description This is the second year of a two-year advanced program in Mathematics for students who have take 426 in Secondary IV. The course consists of the following three topics which emphasizes problem solving at all stages of the learning process.
Systems of linear inequalities (including polygon of constraints and optimal solutions); graphs of real-variable functions (absolute value, step, square root, rational, exponential, logarithmic and trigonometric); sum, difference, product, quotient and composition of functions; inverse functions; solving equations and transforming algebraic expressions involving absolute values, square roots, exponents, logarithms, trigonometry, and systems of linear and quadratic inequalities; equations and loci of straight lines, circles, ellipses and hyperbolas; principal elements of a conic section (centre, radius, directrix, vertices, foci, minor axes, symptotes).
Geometry
Theorems of circles and right triangles; vector operations (addition, multiplication by a scalar, dot product); simple proofs using vectors.
Statistics
Measures of dispersion (range, interquartile range, mean deviation, standard deviation, Z-score); estimate and interpret linear regression line and correlation coefficient.