Cambridge AS and A Level Mathematics is a revised series to ensure full syllabus coverage. This coursebook has been revised and updated to ensure that it meets the requirements for the Pure Mathematics 2 and 3 (P2 and P3) units of Cambridge AS and A Level Mathematics (9709). Additional materials have been added to sections on logarithmic and exponential functions, the derivative of tan x and vectors. All of the review questions have been updated to reflect changes in the style of questions asked in the course.
1. Polynomials; 2. The modulus function; 3. Exponential and logarithmic functions; 4. Differentiating exponentials and logarithms; 5. Trigonometry; 6. Differentiating trigonometric functions; Revision exercise 1; 7. Differentiating products; 8. Solving equations numerically; 9. The trapezium rule; 10. Parametric equations; 11. Curves defined implicitly; Revision exercise 2; Practice exam-style papers for P2; 12. Vectors: lines in two and three dimensions; 13. Vectors: planes in three dimensions; 14. The binomial expansion; 15. Rational functions; 16. Complex numbers; 17. Complex numbers in polar form; 18. Integration; 19. Differential equations; Revision exercise 3; Practice exam-style papers for P3; Answers; Index