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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: applications and interpretation 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: applications and interpretation, Higher Level, Print and Enhanced Online Course Book Pack

Measuring space: accuracy and geometry

1.1: Representing numbers exactly and approximately

1.2: Angles and triangles

1.3: three-dimensional geometry

Representing and describing data: descriptive statistics

2.1: Collecting and organizing data

2.2: Statistical measures

2.3: Ways in which we can present data

2.4: Bivariate data

Dividing up space: coordinate geometry, lines, Voronoi diagrams, vectors

3.1: Coordinate geometry in 2 and 3 dimensions

3.2: The equation of a straight line in 2 dimensions

3.3: Voronoi diagrams

3.4: Displacement vectors

3.5: The scalar and vector product

3.6: Vector equations of lines

Modelling constant rates of change: linear functions and regressions

4.1: Functions

4.2: Linear models

4.3: Inverse functions

4.4: Arithmetic sequences and series

4.5: Linear regression

Quantifying uncertainty: probability

5.1: Theoretical and experimental probability

5.2: Representing combined probabilities with diagrams

5.3: Representing combined probabilities with diagrams and formulae

5.4: Complete, concise and consistent representations

Modelling relationships with functions: power and polynomial functions

6.1: Quadratic models

6.2: Quadratic modelling

6.3: Cubic functions and models

6.4: Power functions, inverse variation and models

Modelling rates of change: exponential and logarithmic functions

7.1: Geometric sequences and series

7.2: Financial applications of geometric sequences and series

7.3: Exponential functions and models

7.4: Laws of exponents - laws of logarithms

7.5: Logistic models

Modelling periodic phenomena: trigonometric functions and complex numbers

8.1: Measuring angles

8.2: Sinusoidal models: f(x) = asin(b(x-c))+d

8.3: Completing our number system

8.4: A geometrical interpretation of complex numbers

8.5: Using complex numbers to understand periodic models

Modelling with matrices: storing and analyzing data

9.1: Introduction to matrices and matrix operations

9.2: Matrix multiplication and properties

9.3: Solving systems of equations using matrices

9.4: Transformations of the plane

9.5: Representing systems

9.6: Representing steady state systems

9.7: Eigenvalues and eigenvectors

Analyzing rates of change: differential calculus

10.1: Limits and derivatives

10.2: Differentiation: further rules and techniques

10.3: Applications and higher derivatives

Approximating irregular spaces: integration and differential equations

11.1: Finding approximate areas for irregular regions

11.2: Indefinite integrals and techniques of integration

11.3: Applications of integration

11.4: Differential equations

11.5: Slope fields and differential equations

Modelling motion and change in 2D and 3D: vectors and differential equations

12.1: Vector quantities

12.2: Motion with variable velocity

12.3: Exact solutions of coupled differential equations

12.4: Approximate solutions to coupled linear equations

Representing multiple outcomes: random variables and probability distributions

13.1: Modelling random behaviour

13.2: Modelling the number of successes in a fixed number of trials

13.3: Modelling the number of successes in a fixed interval

13.4: Modelling measurements that are distributed randomly

13.5: Mean and variance of transformed or combined random variables

13.6: Distributions of combined random variables

Testing for validity: Spearman's hypothesis testing and x2 test for independence

14.1: Spearman's rank correlation coefficient

14.2: Hypothesis testing for the binomial probability, the Poisson mean and the product moment correlation coefficient

14.3: Testing for the mean of a normal distribution

14.4: Chi-squared test for independence

14.5: Chi-squared goodness-of-fit test

14.6: Choice, validity and interpretation of tests

Optimizing complex networks: graph theory

15.1: Constructing graphs

15.2: Graph theory for unweighted graphs

15.3: Graph theory for weighted graphs: the minimum spanning tree

15.4: Graph theory for weighted graphs - the Chinese postman problem

15.5: Graph theory for weighted graphs - the travelling salesman problem

Exploration