دانلود کتاب Mathematics for the international student: mathematics HL (Option): Calculus HL Topic 9 FM Topic 5

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Mathematics HL Option: Calculus
Foreword
Acknowledgements
Using the interactive CD
Table of contents
Symbols and notation
A - Number properties
Exercise A
Answers
B - Limits
Exercise B.1
Answers
Exercise B.2
Answers
Exercise B.3
Answers
C - Continuity of functions
Exercise C.1
Answers
Exercise C.2
Answers
D - Differentiable functions
Discussion
Exercise D
Answers
E - L\'Hôpitals rule
Exercise E
Answers
F - Rolle\'s theorem and the mean value theorem (MVT)
Exercise F
Answers
G - Riemann sums
Exercise G.1
Answers
Exercise G.2
Answers
H - The fundamental theorem of calculus
Discussion
Exercise H
Answers
I - Improper integrals
Exercise I.1
Answers
Exercise I.2
Answers
J - Sequences
Exercise J.1
Answers
Exercise J.2
Answers
K - Infinite series
Exercise K.1
Answers
Exercise K.2
Answers
Exercise K.3
Answers
Exercise K.4
Answers
L - Taylor and Maclaurin series
Exercise L.1
Answers
Exercise L.2
Answers
Exercise L.3
Answers
Exercise L.4
Answers
Historical note
M - Differential equations
Exercise M
Answers
N - Separable differential equations
Exercise N
Answers
O - The integrating factor method
Exercise O
Answers
Activity - Laplace transforms
P - Taylor or Maclaurin series developed from a differential equation
Exercise P
Answers
Review set A
Answers
Review set B
Answers
Review set C
Answers
Review set D
Answers
Theory of knowledge - Torricellis trumpet
Appendix A - Methods of proof
Theory of knowledge - Axioms and occam\'s razor
Appendix B - Formal definition of a limit
Worked Solutions