Authors | |

Publisher | Oxford University Press |

Year | 01/03/2019 |

Edition | First |

Pages | 672 |

Version | mixed media |

Readership level | College/higher education |

Language | English |

ISBN | 9780198427100 |

Categories | Mathematics |

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Featuring a wealth of digital content, this concept-based Print and Enhanced Online Course Book Pack has been developed in cooperation with the IB to provide the most comprehensive support for the new DP Mathematics: analysis and approaches SL syllabus, for first teaching in September 2019. Each Enhanced Online Course Book Pack is made up of one full-colour, print textbook and one online textbook - packed full of investigations, exercises, worksheets, worked
solutions and answers, plus assessment preparation support.

Oxford IB Diploma Programme: IB Mathematics: analysis and approaches, Standard Level, Print and Enhanced Online Course Book Pack

From patterns to generalizations: sequences and series

1.1: Number patterns and sigma notation

1.2: Arithmetic and geometric sequences

1.3: Arithmetic and geometric series

1.4: Modelling using arithmetic and geometric series

1.5: The binomial theorem

1.6: Proofs

Representing relationships: introducing functions

2.1: What is a function?

2.2: Functional notation

2.3: Drawing graphs of functions

2.4: The domain and range of a function

2.5: Composition of functions

2.6: Inverse functions

Modelling relationships: linear and quadratic functions

3.1: Parameters of a linear function

3.2: Linear functions

3.3: Transformations of functions

3.4: Graphing quadratic functions

3.5: Solving quadratic equations by factorization and completing the square

3.6: The quadratic formula and the discriminant

3.7: Applications of quadratics

Equivalent representations: rational functions

4.1: The reciprocal function

4.2: Transforming the reciprocal function

4.3: Rational functions of the form ax+b/cx+d

Measuring change: differentiation

5.1: Limits and convergence

5.2: The derivative function

5.3: Differentiation rules

5.4: Graphical interpretation of first and second derivatives

5.5: Application of differential calculus: optimization and kinematics

Representing data: statistics for univariate data

6.1: Sampling

6.2: Presentation of data

6.3: Measures of central tendency

6.4: Measures of dispersion

Modelling relationships between two data sets: statistics for bivariate data

7.1: Scatter diagrams

7.2: Measuring correlation

7.3: The line of best fit

7.4: Least squares regression

Quantifying randomness: probability

8.1: Theoretical and experimental probability

8.2: Representing probabilities: Venn diagrams and sample spaces

8.3: Independent and dependent events and conditional probability

8.4: Probability tree diagrams

Representing equivalent quantities: exponentials and logarithms

9.1: Exponents

9.2: Logarithms

9.3: Derivatives of exponential functions and the natural logarithmic function

From approximation to generalization: integration

10.1: Antiderivatives and the indefinite integral

10.2: More on indefinite integrals

10.3: Area and definite integrals

10.4: Fundamental theorem of calculus

10.5: Area between two curves

Relationships in space: geometry and trigonometry in 2D and 3D

11.1: The geometry of 3D shapes

11.1: Right-angles triangle trigonometry

11.3: The sine rule

11.4: The cosine rule

11.5: Applications of right and non-right angled trigonometry

Periodic relationships: trigonometric functions

12.1: Radian measure, arcs, sectors

1.1: Number patterns and sigma notation

1.2: Arithmetic and geometric sequences

1.3: Arithmetic and geometric series

1.4: Modelling using arithmetic and geometric series

1.5: The binomial theorem

1.6: Proofs

Representing relationships: introducing functions

2.1: What is a function?

2.2: Functional notation

2.3: Drawing graphs of functions

2.4: The domain and range of a function

2.5: Composition of functions

2.6: Inverse functions

Modelling relationships: linear and quadratic functions

3.1: Parameters of a linear function

3.2: Linear functions

3.3: Transformations of functions

3.4: Graphing quadratic functions

3.5: Solving quadratic equations by factorization and completing the square

3.6: The quadratic formula and the discriminant

3.7: Applications of quadratics

Equivalent representations: rational functions

4.1: The reciprocal function

4.2: Transforming the reciprocal function

4.3: Rational functions of the form ax+b/cx+d

Measuring change: differentiation

5.1: Limits and convergence

5.2: The derivative function

5.3: Differentiation rules

5.4: Graphical interpretation of first and second derivatives

5.5: Application of differential calculus: optimization and kinematics

Representing data: statistics for univariate data

6.1: Sampling

6.2: Presentation of data

6.3: Measures of central tendency

6.4: Measures of dispersion

Modelling relationships between two data sets: statistics for bivariate data

7.1: Scatter diagrams

7.2: Measuring correlation

7.3: The line of best fit

7.4: Least squares regression

Quantifying randomness: probability

8.1: Theoretical and experimental probability

8.2: Representing probabilities: Venn diagrams and sample spaces

8.3: Independent and dependent events and conditional probability

8.4: Probability tree diagrams

Representing equivalent quantities: exponentials and logarithms

9.1: Exponents

9.2: Logarithms

9.3: Derivatives of exponential functions and the natural logarithmic function

From approximation to generalization: integration

10.1: Antiderivatives and the indefinite integral

10.2: More on indefinite integrals

10.3: Area and definite integrals

10.4: Fundamental theorem of calculus

10.5: Area between two curves

Relationships in space: geometry and trigonometry in 2D and 3D

11.1: The geometry of 3D shapes

11.1: Right-angles triangle trigonometry

11.3: The sine rule

11.4: The cosine rule

11.5: Applications of right and non-right angled trigonometry

Periodic relationships: trigonometric functions

12.1: Radian measure, arcs, sectors