Mathematics for the IB diploma
著者
書誌事項
Mathematics for the IB diploma
(Mathematics for the IB diploma / series editor, Hugh Neill)
Cambridge University Press, c2007, c2008
- standard level
- higher level 1
- higher level 2
大学図書館所蔵 全1件
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名古屋大学 附属図書館中央学3F
standard level410||N41493980,
higher level 1410||N41493981, higher level 2410||N41493982
注記
Includes index
内容説明・目次
- 巻冊次
-
standard level ISBN 9780521699280
内容説明
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.
目次
- 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.
- 巻冊次
-
higher level 1 ISBN 9780521699297
内容説明
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.
目次
- 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
- 巻冊次
-
higher level 2 ISBN 9780521699303
内容説明
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.
目次
- 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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