Analysis and Approaches for IBDP Maths Ebook 2

Contents
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Foreword
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Chapter 1 Functions…………………………………………………..... 1
Chapter 2 Polynomials…………………………………………………... 19
Chapter 3 Systems of Equations………………………………………. 33
Chapter 4 Binomial Theorem…………………………………………… 40
Chapter 5 Mathematical Induction……………………………………... 48
Chapter 6 Proofs and Identities………………………………………… 52
Chapter 7 Trigonometry……………………………………………....... 55
Chapter 8 Vectors………………………………………………………... 76
Chapter 9 Complex Numbers…………………………………………... 101
Chapter 10 Differentiation………………………………………………... 122
Chapter 11 Applications of Differentiation……………………………… 135
Chapter 12 Integration……………………………………………………. 160
Chapter 13 Applications of Integration………………………………….. 169
Chapter 14 Limits and Maclaurin Series………………………………... 192
Chapter 15 Differential Equations……………………………………….. 204
Chapter 16 Permutations and Combinations…………………………... 219
Chapter 17 Probability…………………………………………………..... 224
Chapter 18 Discrete Probability Distributions………………………….. 233
Chapter 19 Continuous Probability Distributions………………………. 240
Chapter 20 Paper 3 Analysis…………………………………………….. 250
Answers……………………………………………………… 270