Numerical Methods in ALevel Mathematics
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Numerical Methods
When we cannot solve an equation, for example, using the normal analytical techniques we often use Numerical Methods. This usually requires the use of computers but at ALevel Maths we learn the fundamentals of these processes by doing the calculations by hand (or with a calculator). Recall that we first saw numerical methods in GCSE Maths when using iteration.
We do not study Numerical Methods in ASMaths. However, in Year 2, we take a look at various numerical methods for finding roots. We also explore ways of estimating the area beneath graphs which up until now we have found using definite integrals.

 (not covered in AS Maths)
Other Topic Areas in ASMaths
 PROOF – proof by deduction, proof by exhaustion, disproof by counterexample
 ALGEBRA & FUNCTIONS – completing the square, cubics, curve sketching, discriminant, indices, inequalities, polynomials, quadratics, simultaneous equations, surds, transformations
 COORDINATE GEOMETRY – straight lines, equation of a circle
 SEQUENCES & SERIES – binomial expansion
 TRIGONOMETRY – nonrightangled triangles, trigonometric equations, trigonometric graphs, trigonometric identities
 EXPONENTIALS & LOGS – exponential & logarithmic graphs, logs, their rules and solving log equations, growth & decay, differentiating e to the kx
 DIFFERENTIATION – differentiation from first principles and differentiating polynomials, increasing & decreasing functions, stationary points, tangents & normals, differentiating e to the kx
 INTEGRATION – fundamental theorem of calculus and integrating powers of x, definite integrals
 VECTORS – twodimensional vectors, vector arithmetic, vectors in context
Other Topic Areas in A2Maths
 PROOF – proof by contradiction
 ALGEBRA & FUNCTIONS – modulus of a function, partial fractions, inverse and composite functions, compound transformations
 COORDINATE GEOMETRY – parametric equations
 SEQUENCES & SERIES – arithmetic series (and sigma notation), geometric series, sequences, binomial expansion
 TRIGONOMETRY – radians, arc length & area of a sector, small angle approximations, reciprocal trigonometric functions, inverse trigonometric functions, double & compound angle formulae
 EXPONENTIALS & LOGARITHMS – compound transformations
 DIFFERENTIATION – concavity, convexity & inflection points, derivatives of trigonometric functions, product, quotient & chain rule, parametric & implicit differentiation, differentiating exp/log functions, differential equations & rates
 INTEGRATION – further integration, integration using trigonometric identities, integration by substitution, integration by parts, integration using partial fractions, solving differential equations,
 VECTORS – 3D vectors