Mathematics for the IB Diploma Standard Levelby Douglas Quadling, Hugh Neill
Pub. Date: 07/05/2007
Publisher: Cambridge University Press
Specifically written to cover the new IB Mathematics syllabuses, these books provide a weath of practice material and have been extensively tested in classrooms. They include: full coverage of the IB syllabus; past examination questions; revision sections at regular intervals; and a full answer key. The books also describe graphical calculator methods as required by the IB syllabus.
Table of ContentsIntroduction; 1. Numbers; 2. Sequences; 3. The binomial theorem; Review exercise 1; 4. Representation of statistical data; 5. Measures of location; 6. Measures of spread; Review exercise 2; 7. Coordinates, points and lines; 8. Functions and graphs; 9. Linear and quadratic functions; 10. Equations and graphs; Review exercise 3; 11. Differentiation; 12. Tangents and normals; 13. Index notation; 14. Graphs of nth power functions;Review exercise 4; 15. Trigonometry; 16. The sine and cosine rules; 17. Solving triangles; 18. Radians; Review exercise 5; 19. Investigating shapes of graphs; 20. Second derivatives; 21. Applications of differentiation; Review exercise 6; 22. Probability; 23. Conditional probability; Review exercise 7; 24. Integration; 25. Geometric sequences; 26. Exponentials and logarithms; 27. Exponential growth and decay; Review exercise 8; 28. Circular functions; 29. Composite and inverse functions; 30. Transforming graphs; Review exercise 9; 31. Extending differentiation and integration; 32. Differentiating exponentials and logarithms; Review exercise 10; 33. Probability distributions; 34. The binomial distribution; 35. The normal distribution; Review exercise 11; 36. Relations between trigonometric functions; 37. Trigonometric equations; Review exercise 12; 38. The chain rule; 39. Differentiating products and quotients; 40. Differentiating circular functions; 41. Volumes of revolution; Review exercise 13; 42. Vectors; 43. Scalar products of vectors; 44. Vector equations of lines; Review exercise 14; 45. Matrices; 46. Inverse matrices; 47. Determinants; Review exercise 15; Answers; Index.
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