Cambridge Mathematics for the IB Diploma: Mathematics Higher Level

Cambridge Mathematics for the IB Diploma: Mathematics Higher Level Author/s: Paul Fannon, Vesna Kadelburg, Ben Woolley and Stephen Ward This highly illustrated coursebook and accompanying CD-ROM forms part of the completely new Mathematics for the IB Diploma series. It has been written by teachers to specifically cover the new IB Higher Level syllabus. The progressive approach encourages cumulative learning. The title ends with a chapter dedicated to combined exercises that require skills from many topics – a typical trick in the IB Examinations. Features: Complete e-version of the book included Accompanying CD-ROM contains extension worksheets, prior knowledge, the Option topics, calculator skills sheets and fill-in proofs. Preview worksheets from the accompanying CD-ROM under the CD-ROM tab below Worked examples show typical workings and thought processes Exercises are progressive and colour-coded according to IB examination grades. They include short-answer questions and longer-answer questions typical of the IB examinations Theory of Knowledge boxes highlight some of the weaknesses and ambiguities in mathematics as well as showing how mathematics links to other areas of knowledge From another perspective boxes highlight international, historical, pragmatic and cultural differences between mathematicians Examiners hints highlight some common errors and pitfalls Key point panels highlight key things or formulas to remember Calculator hints highlight specific tips required for calculator work Fast forward / Rewind boxes indicate connections with other sections of the book to help the reader navigate their way around Exam and Exam-style questions provide lots of exam practice. Contents: Introduction Algebra: 1. Counting principles Algebra, Function and Equations: 2. Exponents and logarithms 3. Polynomials 4. Algebraic structures 5. The theory of functions 6. Transformations of graphs 7. Sequences and series 8. Binomial expansion Geometry: 9. Circular measure and trigonometric functions 10. Trigonometric equations and identities 11. Geometry of triangles and circles 12. Further trigonometry 13. Vectors 14. Lines and planes in space Algebra: 15. Complex numbers Calculus: 16. Basic differentiation and its applications 17. Basic integration and its applications 18. Further differentiation methods 19. Further integration methods 20. Further applications of calculus Probability and Statistics: 21. Summarising data 22. Probability 23. Discrete probability distributions 24. Continuous distributions Algebra: 25. Mathematical induction 26. Questions crossing all chapters Examination tips Answers Index Acknowledgements Terms and conditions of use for the CD-ROM.