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LearnAQA7367First teaching 2017Paper 1
Paper 1

Compulsory content

Proof

Proof by induction1 subtopic lessons

Complex numbers

Arithmetic and conjugates · The Argand diagram, modulus and argument · Polynomial equations and square roots · Polar and exponential forms · Loci and regions in the Argand diagram5 subtopic lessons

Matrices

Matrix algebra and inverses · Transformations, invariant points and lines · Eigenvalues and diagonalisation3 subtopic lessons

Further algebra and functions

Roots of polynomial equations · Summation of series · Rational functions and asymptotes · Rational inequalities4 subtopic lessons

Further calculus

Volumes, mean values and improper integrals · Inverse trig and hyperbolic functions in calculus · Maclaurin series3 subtopic lessons

Further vectors

The scalar product and angles · The vector equation of a line · Intersecting, parallel and skew lines · Foot of the perpendicular and shortest distances4 subtopic lessons

Polar coordinates

Polar curves and areas1 subtopic lessons

Hyperbolic functions

Hyperbolic functions and their inverses1 subtopic lessons

Differential equations

First-order equations: integrating factors · Second-order equations: auxiliary equation2 subtopic lessons

Numerical methods

Newton–Raphson, bisection and interpolation1 subtopic lessons