Mathematics for the IB diploma

Bibliographic Information

Mathematics for the IB diploma

Hugh Neill and Douglas Quadling

(Mathematics for the IB diploma / series editor, Hugh Neill)

Cambridge University Press, c2007, c2008

  • standard level
  • higher level 1
  • higher level 2

Available at  / 1 libraries

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Note

Includes index

Description and Table of Contents

Volume

standard level ISBN 9780521699280

Description

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 Contents

  • 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.
Volume

higher level 1 ISBN 9780521699297

Description

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 Contents

  • Introduction
  • 1. Numbers
  • 2. Sequences
  • 3. Permutations and combinations
  • 4. The binomial distribution
  • Review exercise 1
  • 5. Representation of statistical data
  • 6. Measures of location
  • 7. Measures of spread
  • Review exercise 2
  • 8. Coordinates, points and lines
  • 9. Functions and graphs
  • 10. Linear and quadratic functions
  • 11. Equations and graphs
  • Review exercise 3
  • 12. Differentiation
  • 13. Tangents and normals
  • 14. Index notation
  • 15. Graphs of nth power functions
  • 16. Polynomials, factors and remainders
  • Review exercise 4
  • 17. Trigonometry
  • 18. The sine and cosine rules
  • 19. Solving triangles
  • 20. Radians
  • 21. Three-dimensional problems
  • Review exercise 5
  • 22. Inequalities
  • 23. Investigating shapes of graphs
  • 24. Second derivatives
  • 25. Applications of differentiation
  • Review exercise 6
  • 26. Probability
  • 27. Conditional probability
  • Review exercise 7
  • 28. Integration
  • 29. Calculating Areas
  • 30. Geometric sequences
  • 31. Exponentials and logarithms
  • 32. Exponential growth and decay
  • Review exercise 8
  • 33. Discrete probability distributions
  • 34. The binomial distribution
  • 35. The Poisson distribution
  • Review exercise 9
  • Answers
  • Index
Volume

higher level 2 ISBN 9780521699303

Description

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 Contents

  • Introduction
  • 1. Implication and induction
  • 2. Composite and inverse functions
  • 3. Transforming graphs
  • 4. The modulus function
  • Review exercise 1
  • 5. Relations between trigonometric functions
  • 6. Trigonometric equations
  • 7. Circular functions
  • 8. Reciprocal functions
  • 9. Inverse circular functions
  • Review exercise 2
  • 10. Continuous random variables
  • 11. The normal distribution
  • Review exercise 3
  • 12. Extending differentiation and integration
  • 13. Differentiating exponentials and logarithms
  • 14. Differentiating products and quotients
  • 15. Volumes of revolution
  • Review exercise 4
  • 16. Vectors
  • 17. Scalar products of vectors
  • 18. Sets of linear equations
  • 19. Lines in 3-dimensions
  • Review exercise 5
  • 20. The chain rule
  • 21. Differentiating circular functions
  • 22. Integrating products
  • 23. Differential equations
  • Review exercise 6
  • 24. Planes
  • 25. The vector product
  • Review exercise 7
  • 26. Integration by substitution
  • 27. Curves defined implicitly
  • 28. Differentiating inverse trigonometric functions
  • Review exercise 8
  • 29. Matrices
  • 30. Inverse matrices
  • 31. Determinants
  • Review exercise 9
  • 32. Complex numbers
  • 33. The complex plane
  • 34. Complex numbers in polar form
  • 35. De Moivre's theorem
  • 36. Further trigonometry
  • Review exercise 10
  • Answers
  • Index.

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