Mathematics

Course summary

Specification Content Year 1 • Pure Mathematics Development of algebra alongside new work in trigonometry, vectors, exponentials and logarithms. Introduction of differential and integral calculus. Topics covered include Proof, Algebra and functions, Coordinate geometry in the (x,y) plane, Sequences and series, Trigonometry, Exponentials and logarithms, Differentiation, Integration and Vectors. • Statistics Data analysis, representation of data, probability and hypothesis testing. • Mechanics Kinematics, forces and Newton’s laws. Year 2 • Pure Mathematics More advanced algebra and trigonometry, calculus, series and sequences. Topics covered include Proof, Algebra and functions, Coordinate geometry in the (x,y) plane, Sequences and series, Trigonometry, Exponentials and logarithms, Differentiation, Integration, Vectors and Numerical methods • Statistics Probability, regression and the Normal distribution. • Mechanics Moments and application of kinematics. Within the classroom environment, a variety of teaching methods are adopted including formal tuition and worked examples, class discussion, note taking, the practice of examples, group work and the use of information technology e.g. graphical software. At all times you will have opportunities to receive further explanation and support within a small group. You will be expected to practise many examples, both within lessons and in your own study time, and to keep organised files of notes and examples. You will regularly need to spend time revising methods and concepts that you have been taught throughout the course. You will be encouraged to develop your understanding of Mathematics and mathematical processes in a way that will aim to promote confidence and foster enjoyment. You will develop the ability to reason logically and recognise incorrect reasoning, to generalise and to construct mathematical proofs. You will extend your range of mathematical skills and techniques and use them in more difficult problems, learning how to communicate effectively using Mathematics. You will begin to recognise how real-world problems can be represented by mathematical models.