Pure mathematics covers more advanced topics in algebra, calculus, trigonometry, geometry and vectors, and numerical methods. These involve concepts such as scalar product of vectors with application to 3-dimensional space, different co-ordinate systems, and solutions of a range of differential equations, hyperbolic functions, matrices and mathematical induction. Content is divided over three modules; work, energy and power. Mechanics covers relative motion, collisions, more complex motion in one dimension and application of vectors in mechanics. Decision math's studies include networks, algorithms for making optimum choices about routes and pathways, and linear programming for maximizing efficiency and profits. LEARNING AND SKILLS: Further math's broadens your mathematical skills and promotes deeper mathematical thinking. You will be introduced to interesting new areas of pure mathematics such as complex numbers and apply mathematics in a wider range of contexts.