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Preface;
1. Basic functions;
2. Functions for science I: the exponential functions;
3. Functions for science II: trigonometric functions;
4. Functions for science III: inverse functions;
5. Other functions of science;
6. Differentiation I: rates of change;
7. Differentiation II: stationary points;
8. Differentiation III: approximation of functions;
9. Integration I: introduction and standard forms;
10. Integration II: techniques of integration;
11. Integration III: further techniques;
12. First-order differential equations;
13. Second-order ordinary differential equations;
14. Statistics I: frequency distributions and associated measures;
15. Statistics II: probability and probability distributions;
16. Statistics III: sampling, sampling distributions and hypothesis testing;
17. Partial differentiation I: introduction;
18. Partial differentiation II: stationary points; Answers to the exercises; Index.
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