A Level Further Mathematics

Course summary

Year 12: the entire A-Level Maths syllabus in one year, plus AS Further Maths: Complex numbers. Matrices. Sum of series. Algebra and functions. Proof. Vectors. Year 13: Complex numbers and De Moivre’s Theorem. Maclaurin series. Hyperbolic functions. Polar coordinates. Further calculus. Differential equations. Further Vectors. Conics. t – formulae. Taylor series. Leibnitz’s theorem. L’Hopital’s rule. Numerical Methods. Reducible differential equations. Momentum and Impulse. Work,energy and power. Elastic strings and springs. Elastic collisions. Please note that at Holland Park School, students who take Further Maths will study A Level Maths in Year 12 and A Level Further Maths in Year 13. There will be two lessons per day in both Year 12 and Year 13. Students wanting to pick this option must therefore select it in both option blocks.