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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 HL 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, Higher Level, Print and Enhanced Online Course Book Pack

From patterns to generalizations: sequences and series

1.1: Sequences, series and sigma notation

1.2: Arithmetic and geometric sequences and series

1.3: Proof

1.4: Counting principles and the binomial theorem

Representing relationships: introducing functions

2.1: Functional relationships

2.2: Special functions and their graphs

2.3: Classification of functions

2.4: Operations with functions

2.5: Function transformations

Expanding the number system: complex numbers

3.1: Quadratic equations and inequalities

3.2: Complex numbers

3.3: Polynomial equations and inequalities

3.4: The fundamental theorem of algebra

3.5: Solving equations and inequalities

3.6: Solving systems of linear equations

Measuring change: differentiation

4.1: Limits, continuity and convergence

4.2: The derivative of a function

4.3: Differentiation rules

4.4: Graphical interpretation of the derivatives

4.5: Applications of differential calculus

4.6: Implicit differentiation and related rates

Analysing data and quantifying randomness: statistics and probability

5.1: Sampling

5.2: Descriptive statistics

5.3: The justification of statistical techniques

5.4: Correlation, causation and linear regression

Relationships in space: geometry and trigonometry

6.1: The properties of 3D space

6.2: Angles of measure

6.3: Ratios and identities

6.4: Trigonometric functions

6.5: Trigonometric equations

Generalizing relationships: exponents, logarithms and integration

7.1: Integration as antidifferentiation and definite integrals

7.2: Exponents and logarithms

7.3: Derivatives of exponential and logarithmic functions; tangents and normals

7.4: Integration techniques

Modelling changes: more calculus

8.1: Areas and volumes

8.2: Kinematics

8.3: Ordinary differential equations (ODEs)

8.4: Limits revisited

Modelling 3D space: vectors

9.1: Geometrical representation of vectors

9.2: Introduction to vector algebra

9.3: Scalar product and its properties

9.4: Vector equations of a line

9.5: Vector product and properties

9.6: Vector equation of a plane

9.7: Lines, planes and angles

9.8: Application of vectors

Equivalent systems of representation: more complex numbers

10.1: Forms of a complex number

10.2: Operations with complex numbers in polar form

10.3: Powers and roots of complex numbers in polar form

Valid comparisons and informed decisions: probability distributions

11.1: Axiomatic probability systems

11.2: Probability distributions

11.3: Continuous random variables

11.4: Binomial distribution

11.5: The normal distribution

Exploration