This single coursebook comprehensively covers all four modules of the syllabus and helps support students in their studies and develops their mathematical skills. Authored by experienced teachers of Further Mathematics, the coursebook provides detailed explanations and clear worked examples with practice exercises and exam-style questions. Answers are at the back of the book.
Introduction
Further Pure Mathematics 1: 1. Roots of polynomial equations
2. Rational functions
3. Summation of series
4. Matrices 1
5. Polar coordinates
6. Vectors
7. Proof by induction
Cross-topic revision exercise 1
Further Statistics: 8. Continuous random variables
9. Inferential statistics
10. Chi-squared tests
11. Non-parametric tests
12. Probability generating functions
Cross-topic revision exercise 2
Further Mechanics: 13. Projectiles
14. Equilibrium of a rigid body
15. Circular motion
16. Hooke's law
17. Linear motion under a variable force
18. Momentum
Cross-topic revision exercise 3
Further Pure Mathematics 2: 19. Hyperbolic functions
20. Matrices 2
21. Differentiation
22. Integration
23. Complex numbers
24. Differential equations
Cross-topic revision exercise 4
Practice paper
Glossary
Answers
Internationally benchmarked qualifications providing excellent preparation for university education.
Cambridge International AS and A Level syllabuses have been created specifically for an international audience. The content of International AS and A Levels is carefully devised to suit the wide variety of Cambridge schools worldwide and avoid cultural bias. The structure and administration of Cambridge International AS and A Levels are also designed to meet the needs of Cambridge schools and learners around the world.
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