Further Mathematics

Course summary

Course description Further Mathematics A Level is possibly one of the most challenging but certainly all the more rewarding choices of study in the Sixth Form. The new and exciting linear Further Maths ‘A’ Level specification can rightly be described as pre-university Maths. Students will be assessed after every topic and at the end of each half term. One of the overarching themes in the new specification is making concrete links between the different areas of Maths to model real-life problems. This will require increasingly more demanding skills to be able to explain and critique mathematical models. Course content The compulsory topics of study are: Matrices, proof, complex numbers, further algebra and functions, mathematical induction, further calculus, further vectors, polar coordinates, hyperbolic functions and differential equations. The optional topics of study are: Decision Maths Algorithms, graphs and networks, critical path analysis linear programming, Transportation problems, flows in networks, allocation problems, dynamic programming,game theory and recurrence relations. Further Mechanics Work, energy and power, impulse and momentum, collisions in 1D, further kinematics, further centres of mass, motion in a circle and further dynamics Further Pure: Further complex numbers, further algebra and functions, series, further matrices, further calculus,further vectors and proof. Further Statistics Discrete random variables, Poisson and Binomial distributions, hypothesis testing, chi-squared tests, linear regression, correlation, continuous distributions, estimation, confidence intervals, Normal distribution, T-distribution, combinations of random variables.