**Preface.**

**1. Mathematics and Statistics in Science.**

1.1 Data and information.

1.2 Experimental variation and uncertainty.

1.3 Mathematical models in science.

**2. Scientific Data.**

2.1 Scientific numbers.

2.2 Scientific quantities.

2.3 Angular measurements.

**3. Equations in Science.**

3.1 Basic equation handling.

3.2 Introduction to rearranging equations.

3.3 Rearranging complicated equations.

3.4 Solving equations.

3.5 Simultaneous equations.

**4. Linear Relationships.**

4.1 Straight-line graph.

4.2 Linear regression.

4.3 Linearization.

**5. Logarithmic and Exponential Functions.**

5.1 Mathematics of e, ln and log.

5.2 Exponential growth and decay.

**6. Rates of Change.**

6.1 Rate of change.

6.2 Differentiation.

**7. Statistics and Information.**

7.1 Describing and inferring.

7.2 Frequency statistics.

7.3 Probability.

7.4 Bayesian odds.

7.5 Factorials, permutations and combinations.

**8. Distributions and Uncertainty.**

8.1 Normal distribution.

8.2 Uncertainties in measurement.

8.3 Experimental uncertainty.

8.4 Binomial distribution.

8.5 Poisson distribution.

**9. Scientific Investigation.**

9.1 Scientific systems.

9.2 The ‘scientific method’.

9.3 Hypothesis testing.

**10. Parametric Tests.**

10.1 Sample variances: *F*-test.

10.2 Sample means: Student’s *t*-test.

10.3 Linear correlation.

10.4 Test for proportion.

**11. Chi-squared Tests.**

11.1 Test for frequencies.

11.2 Contingency tests.

11.3 Goodness of fit.

**12. Non-parametric Tests.**

12.1 Wilcoxon tests.

12.2 Mann–Whitney test.

12.3 Kruskal–Wallis and Friedman tests.

12.4 Sign test.

12.5 Spearman’s rank correlation.

**13. Experimental Design and Analysis.**

13.1 Data variance.

13.2 Analysis of variance (ANOVA).

13.3 Experiment design.

**Appendixes.**

**Review Questions.**

**Short Answers to In-text Questions.**

**Index.**