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.