You will learn to use your knowledge of mathematical facts, concepts and techniques in a variety of contexts. You will construct rigorous mathematical arguments and proofs through use of precise statements, logical deduction and inference and by manipulation of mathematical expressions. You will use your knowledge of standard mathematical models to represent situations in the real world; recognise and understand given representations involving standard models and learn to discuss the assumptions made and how to refine the models. You will use the results of calculations to make predictions or comment on the context and, where appropriate, read critically and comprehend longer mathematical arguments or examples of applications.