(not fully completed)
Formulae by Topic
1. Basic arithmetic and algebra.
2. Plane geometry.
3. Probability.
4. Real functions of a real variable and their geometrical representation.
5. Trigonometric ratios – review and some preliminary results.
6. Linear functions and lines.
7. Series and applications.
8. The tangent to a curve and the derivative of a function.
9. The quadratic polynomial and the parabola.
10. Geometrical applications of differentiation.
11. Integration.
12. Logarithmic and exponential functions.
13. The trigonometric functions.
14. Applications of calculus to the physical world.
The following topics are for the extension course only.
15. Inverse functions and the inverse trigonometric functions.
16. Polynomials.
17. Binomial theorem.
18. Permutations, combinations and further probability.