Pure Mathematics 5 & 6 is written specifically for the Pure Mathematics 5 and Pure Mathematics 6 modules of the new OCR Advanced Level Mathematics specification. Mathematical ideas are explained carefully and clearly, with many stimulating worked examples. There are plenty of exercises throughout, along with revision exercises and mock examination papers - all written by experienced examiners.
Table of ContentsPURE MATHEMATICS 5: 1. Roots of polynomial equations; 2. Hyperbolic functions; 3. Arc length and surface area; 4. Reduction formulae; 5. Series and integrals; Revision exercise 1; 6. Linear differential equations; 7. Calculus with complex numbers; 8. Approximations and errors; 9. The Newton–Raphson method; 10. Step-by-step approximations; Revision exercise 2; Mock examinations for P5. PURE MATHEMATICS 6: 1. Simultaneous linear equations; 2. Lines and planes; 3. The vector product; 4. Matrices; 5. Matrices and transformations; 6. Determinants and inverses; Revision exercise 3; 7. De Moivre’s theorem; 8. Further trigonometry; 9. Groups; 10,.Subgroups; 11. Isomorphisms of groups; Revision exercise 4; Mock examinations for P6; Answers to P5; Answers to P6; Index