Advanced Programme Mathematics

proof by induction steps and examples summation and division.

distance between points, area of sector, area of triangle, area of segment, petrol tank, the use of trig, volume, find any angle given a side, examples.

cases for differentiable f(x), solving various types of limits, removable and jump discontinuity, steps to solving limits, continuity and discontinuity.

Malthusian, logistic, predator prey, first order and second order modelling, equilibrium.

optimization steps and examples

Partial fractions: linear factors, repeated linear factors, irreducible quadratic factors, degree of denominator less than numerator , examples.