Neill, Hugh

Mathematics for the IB diploma : Standard Level / Hugh Neill and Douglas Quadling - Cambridge : Cambridge University Press, 2007. - iv, 648 p. : col. ill. ; 25 cm. - Maths for the IB diploma .

Introduction-- 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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