1. Algebra and Functions | Solving quadratic and quartic equations, simplifying algebraic fractions, factorizing polynomials, interpreting cubic graph transformations.

2. Coordinate Geometry and Circles | Finding line intersections, perpendicular slopes, center and radius of circles from general equation, tangent conditions to a circle.

3. Calculus – Differentiation and Integration | Differentiating algebraic functions, finding tangents, solving definite integrals, calculating area under curves using integration.

4. Binomial Expansion and Logarithms | Expanding expressions using binomial theorem, estimating function values, applying log laws to solve exponential models.

5. Trigonometry and Geometry | Solving trigonometric equations, proving identities, calculating triangle side lengths and angles using cosine/sine rule, analyzing trigonometric functions.

6. Vectors and Proof | Vector angle calculations, interpreting vector relationships geometrically, algebraic proof involving cube expressions and divisibility.