IB Prepared: Mathematics applications and interpretations ebook

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Description

Contents

Reviews

Language

English

ISBN

9781382008860

Contents

Introduction

1 Number and algebra

1.1 Real numbers

1.2 Sequences and series

1.3 Algebra (AHL)

1.4 Complex numbers (AHL)

1.5 Systems of equations

1.6 Matrices and matrix algebra (AHL)

End-of-chapter practice questions

2 Functions

2.1 Lines and functions

2.2 Composite functions and inverse functions (AHL)

2.3 Graphs and features of models

2.4 Graphs and features of models (AHL)

End-of-chapter practice questions

3 Geometry and trigonometry

3.1 Working with triangles

3.2 Sectors of a circle; volumes and surface areas

3.3 Voronoi diagrams

3.4 Trigonometric functions (AHL)

3.5 Matrix transformations (AHL)

3.6 Vectors

3.7 Graphs

End-of-chapter practice questions

4 Statistics and probability

4.1 Probability

4.2 Probability distributions

4.3 Transformations and combinations of random variables (AHL)

4.4 Poisson distribution (AHL)

4.5 Descriptive statistics

4.6 Correlation and regression

4.7 Statistical tests

4.8 Sampling (AHL)

4.9 Non-linear regression (AHL)

4.10 Confidence intervals and hypothesis testing (AHL)

4.11 Transition matrices and Markov chains (AHL)

End-of-chapter practice questions

5 Calculus

5.1 Differentiation

5.2 Integration

5.3 Differentiation (AHL)

5.4 Integration (AHL)

5.5 Solutions of differential equations (AHL)

End-of-chapter practice questions

Internal assessment: an exploration

Practice exam papers

Index

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