Factors and fractions. The remainder theorem and the factor theorem. Functional notation. Exponents, surds and logarithms. Equations, manipulating formulas and word problems. Graphs. Constant functions. Straight line. Parabola. Hyperbola. Circle. Ellipse. Coordinate geometry. Equations of a straight line. Determining the equation of a circle. Tangents and secants. Limits and first derivatives. Calculating the limit of a function. Determining the gradient of a curve. Differentiation rules. Differentiating a sum. Practical applications of calculus. Sketching cubic functions. Trigonometry. Trigonometric ratios. Using a calculator. The CAST diagram. The 180 degree rule. Co-ratios. Special angles. Solving trigonemetric equations. Trigonometric identities. Inaccessible distances. Solving oblique triangles. Trigonometric graphs. Revision. Model exam papers.