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If you love Mathematics, studying this course means you can double the amountof Mathematics on your timetable! As well as the topics described in A Level Mathematics, you will discover what complex numbers are and how we are able to use them to solve seemingly impossible problems. You will learn about the properties of conic sections like ellipses, parabolas and hyperbolas and be able to solve all kinds of geometric problems like calculating the angle between two intersecting planar surfaces and finding the straight line along which they meet. You will be able to prove the formula for the volume of a sphere and you will even be solving differential equations to model the population of foxes and rabbits! If you are an able mathematician and interested in maths-related careers and courses such as Engineering, Physics, Economics or Computing, then this course is for you.
Five GCSEs at grade 4 or above including English Language. You must also have agrade 7 or above in GCSE Mathematics. This course must be studied alongside ALevel Mathematics.
This is a two-year course. In Year 1 you will cover the material for A Level Mathematicsand in Year 2 you will cover the work for A Level Further Mathematics. The FurtherMathematics course consists of Pure Mathematics (50%) and then two options (25% each), chosen from Further Pure, Further Mechanics, Decision Maths and Further Statistics. The options taught will vary from year to year.Options:Further Mechanics• Momentum and Impulse• Work, Energy and Power• Elastic Strings and Springs• Elastic Collisions in One and Two Dimensions. Further Pure• Further vectors• Conic Sections• Inequalities• The t-formulae• Taylor Series• Further Calculus• Numerical Methods Decision• Graphs and Networks• Algorithms on Graphs• Route Inspection• Travelling Salesman Problem• Linear Programming• Simplex Algorithm• Critical Path Analysis Further Statistics• Discrete Random Variables• Poisson, Geometric and Binomial Distributions• Hypothesis Testing• Central Limit Theorem• Chi-squared Test• Probability Generating Functions
Lesson activities are wide-ranging, from classroom discussions on how best to mathematically model a situation, to practising problem-solving questions in pairs. Graphic calculators and online apps will be used to introduce and explore concepts.
100% exams; consisting of four papers, each 1.5 hours long.
Textbooks for the two years: £80.Course materials per year: £14.50.New calculator: £20 - £60, depending on the scientific/graphical model.
