Part I. Foundations: 1. Introduction
2. Matrices and complex numbers
3. Whole numbers
4. Graphs and curves
5. Representation of data
6. Probability and random numbers
7. Differential and difference equations
Part II. Investigations: 8. Magic squares
9. GCDs, pseudoprimes and Miller's test
10. Graphics: curves and envelopes
11. Zigzags and fast curves
12. Sequences of real numbers
13. Newton-Raphson iteration and fractals
14. Permutations
15. Iterations for nonlinear equations
16. Matrices and solutions of linear systems
17. Functional interpolations and approximation
18. Ordinary differential equations
Part III. Modelling: 19. Checkout queues: long or short
20. Fish farming
21. Epidemics
22. Dynamics of snowboating
23. Tides.

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