Core mathematics is the study of: algebraic techniques, functions, sequences and series, exponential and logarithms, trigonometry, co-ordinate geometry, differentiation, integration, numerical methods, vectors and proof. Students will use these skills and techniques to solve problems in core mathematics and statistics and mechanics. Statistics is the analysis of data graphically and calculating statistical measures. The theory of probability is used to set up mathematical models of random experiments. Students will then compare sets of observations, draw conclusions and make predictions about future events. An important aspect of statistics is measuring the significance of such conclusions and predictions. In mechanics, students will set up simple models of practical situations in order to study the action of forces on bodies and networks that are safe and secure.