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• 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.