1. How to use this book
Mathematics section
2. Handling numbers
3. Working with fractions
4. Percentages
5. Powers
6. Approximation and errors
7. Introduction to graphs
8. The gradient of a graph
9. Algebra
10. Polynomials
11. Algebraic equations
12. Quadratic equations
13. Simultaneous equations
14. Sequences and series of numbers
15. Working with powers
16. Logarithms
17. Exponential growth and decay
18. Circles and spheres
19. Differential calculus
20. Integral calculus
21. Using and recognizing graphs
Applications of mathematics section
22. SI units
23. Moles
24. pH
25. Buffers
26. Kinetics
Statistics section
27. The language of statistics
28. Describing data: measuring averages
29. Standard deviation
30. Checking for a normal distribution
31. Degrees of freedom
32. How to use statistics to make comparisons
33. The standard error of the mean
34. Confidence intervals
35. Probability
36. Significance and P values
37. Tests of significance
38. t tests
39. Analysis of variance
40. The chi-squared test
41. Correlation
42. Regression
43. Bayesian statistics
Answers to “test yourself” questions
Appendix 1: Flow charts for choosing statistical tests
Appendix 2: Critical values for the t distribution
Appendix 3: Critical values for the chi-squared distribution
Index