Cambridge Pre-U Mathematics offers a comprehensive resource for students to develop the thinking skills and logic required of the Cambridge Pre-U Mathematics syllabus (9794). This Cambridge Pre-U Mathematics Coursebook provides a comprehensive resource to prepare students for the high level of mathematical knowledge expected for progression through the Pre-U syllabus. The chapters have been arranged to provide logical progression through the course, and includes clear explanation of concepts, detailed worked examples and focused exercises to help practice and consolidate skills.
Table of Contents
1. Surds and indices; 2. Coordinate geometry; 3. Quadratics and inequalities; 4. The Modulus Function; 5. Polynomials; 6. Algebraic fractions; 7. Functions; 8. Circles, radians and elementary trigonometry; 9. Sequences and series; 10. The Binomial Theorem; 11. Differentiation; 12. Integration; 13. Trigonometry; 14. Exponentials and logarithms; 15. Further differentiation; 16. Differentiating implicit and parametric equations; 17. Further integration; 18. Differential equations; 19. Vector geometry; 20. Complex numbers; 21. Numerical methods; 22. General kinematics; 23. Force and equilibrium; 24. Newton's Law of Motion; 25. Linked systems; 26. Linear momentum and impulse; 27. The motion of projectiles; 28. Analysis of data; 29. Correlation and regression; 30. Permutations and combinations; 31. Probability; 32. Random variables; 33. The Normal Distribution; 34. Problem-solving techniques