1. Differentiation and Stationary Points: Product rule application with exponential functions to find stationary coordinates. 2. Trigonometric Identities and Equations: Transforming and solving equations involving cosine and cosecant; using identities like sin 2θ . 3. Integration Techniques: Algebraic and trigonometric integration including definite integrals and simplification using trigonometric identities. 4. Exponential Modelling: Solving for constants in growth models, finding maximum limits, using logarithmic methods to determine unknowns. 5. Logarithmic and Iterative Methods: Analyzing logarithmic functions, using iteration to approximate roots, and applying differentiation for turning points. 6. Inverse and Composite Functions: Proving decreasing behavior via differentiation, finding inverse functions, determining composite outputs and range.