Year 3 Express Additional Mathematics Course Outline - Sites

Year 3 Express Additional Mathematics Course OutlineContent1 Solutions of Quadratic EquationsSimultaneous Linear & Non-Linear Eqns in 2 unknowns2 Quadratic Fns & Expressions• Sum and Product of Roots• Discriminant and Nature of Roots• Solving quadratic inequalities3 Surds Indices and Logarithm• Surds• Indices• Exponential equations• Logarithm‣ Basic Concepts‣ Laws of Logarithms‣ Logarithmic Equationsx‣ Solving Equations of the form a = b‣ Applications of Exponential and Logarithmic Functions4 CO-ORDINATE GEOMETRY• Midpoint , Gradient, and Distance of the line joining two given points• Areas of Triangles and Quadrilaterals• Parallel and non-parallel lines• Perpendicular lines• Equations of Straight Lines• Perpendicular Bisectors5 Linear Law• Linear Law• Applications of Linear Law6 Curves and Circles• The curves ofny = axand2y= kx• Circles7 Modulus Functions• Absolute Value and Simple Equations• Graph of y = f (x)and y = f ( x)± k8 Trigonometric Functions• Trigonometrical Ratios & General Angles• Trigonometrical Ratios of any Angle• Graphs of Sine, Cosine & tangent fns9 Simple Trigonometric Identities and Equations• Simple Identities• Further Trigonometric Equations10 Binomial Theorem• The expansion of (1 + b) n• The expansion of ( a + b) n• The general term and the term which is independent of variables11 Polynomials and Partial Fractions• Polynomials• Polynomial Identities• Dividing Polynomials• Remainder Theorem

• Factor Theorem• Solving Cubic equations• Partial Fractions