1. Vector geometry: position vectors, scalar product, perpendicular vectors, area of parallelogram via cross product
2. Algebraic equations: simultaneous equations with rational expressions, prime factor analysis
3. Trigonometry: Cosine and Sine Rules, angle bisector intersection, non-right triangle area calculation
4. Graph sketching: exponential table completion, curve plotting, intersection point estimation
5. Polynomial algebra: factor and remainder theorems, solving cubic equations
6. Calculus: definite integration, area under curve bounded by axes and graph