Mathematics (Further)

Course summary

This course is designed for students wishing to study Mathematics at university, or to study Science or Engineering at any of the Russell Group universities where they recommend Further Mathematics to complement other A Levels taken. Students are Fast-Tracked to sit the general A Level in Mathematics at the end of the first year. The A Level Further Mathematics is studied in the second year, leading to two A Levels at the end of the programme. This course enables the students to study four A Levels overall if they choose to. In the first year, you will study Pure Core Maths with elements of Mechanics and Statistics. Pure Maths – Algebra, Co-ordinate Geometry, Proof, Polynomials, Calculus, Trigonometry, Exponentials, Logarithms, Binomial Theorem, Algebra and Functions, Further Calculus, Further Trigonometry, Parametric Equations and Numerical Methods. Mechanics – Vectors, Kinematics, Motion with Constant Acceleration, Forces & Motion, Newton’s Laws of Motion, Objects in Contact, Projectiles, Moments, Kinematics and Dynamics. Statistics – Probability, Statistical Diagrams, Standard Deviation, Binomial Distribution, Hypothesis Testing, Conditional Probability, Normal Distribution and Further Hypothesis Testing. In the second year, you will study Further Pure Maths with a choice of two from Decision Maths, Statistics and Mechanics. Further Pure Maths – Complex Numbers, Polar Coordinates, Hyperbolics, Matrices, Complex Roots of Polynomials, Differential Equations, Vectors, DeMoivres Theorem and more complex Calculus. Mechanics – Work, Energy and Power, Dimensional Analysis, Momentum & Collisions, Circular Motion, Moments & Couples and Centres of Mass. Statistics – Discrete and Continuous Random Variables, Chi-Squared distribution, Poisson Distribution, Errors and Hypothesis Testing including T-tests. Decision – Network Flows, Group Theory, Linear Programming & Simplex Method, Game Theory, Graph Theory and Critical Path Analysis.