1. Proof & Partial Fractions - Proof by contradiction, partial fractions with repeated and improper factors

2. Coordinate Geometry & Binomial Expansion - Parametric equations, trigonometric identities, curve sketching, binomial expansion using partial fractions

3. Differentiation - Parametric and implicit differentiation, rates of change

4. Integration - Area under parametric curves, volumes of revolution, integration by substitution and parts, solving differential equations

5. Vectors - Representation, magnitude and direction, 3D vectors, geometric problem-solving, equation of a line in 3D

6. Review Exercises & Applications - Conceptual applications, problem-solving, mathematical modelling