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E-raamat: Mathematics Higher Level for the IB Diploma

  • Formaat: PDF+DRM
  • Sari: IB Diploma
  • Ilmumisaeg: 25-Apr-2013
  • Kirjastus: Cambridge University Press
  • Keel: eng
  • ISBN-13: 9781107449114
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  • Formaat: PDF+DRM
  • Sari: IB Diploma
  • Ilmumisaeg: 25-Apr-2013
  • Kirjastus: Cambridge University Press
  • Keel: eng
  • ISBN-13: 9781107449114
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This title forms part of the completely new Mathematics for the IB Diploma series. This highly illustrated book covers topic 9 of the IB Diploma Higher Level Mathematics syllabus, the optional topic Calculus. It is also for use with the further mathematics course. Based on the new group 5 aims, the progressive approach encourages cumulative learning. Features include: a dedicated chapter exclusively for mixed examination practice; plenty of worked examples; questions colour-coded according to grade; exam-style questions; feature boxes throughout of exam hints and tips.

Muu info

This title forms part of the completely new Mathematics for the IB Diploma series.
How to use this book iv
Introduction 1(2)
1 Limits of sequences and functions
3(42)
1A The limit of a sequence
4(4)
1B The Squeeze Theorem
8(3)
1C The limit of a function
11(8)
1D L'Hopital's Rule
19(5)
1E Continuous functions
24(5)
1F Differentiate functions
29(5)
1G Rolle's Theorem and the Mean Value Theorem
34(11)
2 Improper integrals
45(20)
2A The Fundamental Theorem of Calculus
46(4)
2B Convergent and divergent improper integrals
50(7)
2C Approximation of improper integrals
57(8)
3 Infinite series
65(34)
3A Convergence of series
66(3)
3B Tests for convergence and divergence
69(19)
3C Power series
88(11)
4 Maclaurin and Taylor series
99(24)
4A Maclaurin series
99(5)
4B Approximations to the Maclaurin series
104(6)
4C Maclaurin series of composite functions
110(3)
4D Taylor series
113(4)
4E Applications
117(6)
5 Differential equations
123(26)
5A Setting up differential equations
123(3)
5B Separation of variables
126(3)
5C Homogeneous differential equations
129(3)
5D Linear differential equations
132(4)
5E Approximations to solutions
136(13)
6 Summary and mixed examination practice
149(13)
Answers 162(12)
Glossary 174(4)
Index 178(2)
Acknowledgements 180