Algebra: partial fractions, series, binomial expansion

Centres of mass: position, applications to uniform bodies and composite bodies

Circular measure: radian measure, arc length, area of sector, small angle approximations

Complex numbers: representation, arithmetic, modulus-argument form, loci, De Moivre’s theorem

Continuous random variables: probability density functions, expectation, variance

Coordinate geometry: equations of lines and curves, parametric equations

Coordinate geometry: equations of straight lines, intersections, midpoints, gradients, circles

Differentiation: further techniques, higher derivatives, stationary points

Differentiation: techniques, stationary points, tangents, normals, rates of change

Discrete random variables: probability distributions, expectation, variance

Energy, work and power: kinetic and potential energy, conservation, work done, power

Forces and equilibrium: vectors, resultants, equilibrium of a particle

Forces: motion of a body on a rough surface, connected particles, equilibrium of rigid bodies

Functions: further domain and range, modulus function, sketching graphs

Functions: notation, domain and range, composite and inverse functions, sketching graphs

Hypothesis tests: significance levels, tests for mean, use of normal distribution, correlation and regression

Integration: techniques, definite integrals, areas under curves

Integration: techniques, volumes of revolution, differential equations

Kinematics of motion in 2 dimensions: displacement, velocity, acceleration, projectile motion

Kinematics of motion in a straight line: displacement, velocity, acceleration, equations of motion

Newton’s laws of motion: force, mass, acceleration, connected particles

Numerical methods: numerical solutions of equations, iterative methods

Permutations and combinations: arrangements, selections

Probability: rules, conditional probability, mutually exclusive and independent events

Quadratics: solution of quadratic equations, nature of roots, quadratic inequalities

Representation of data: diagrams, measures of central tendency and dispersion

Sampling and estimation: random and non-random samples, distribution of sample mean, confidence intervals

Series: arithmetic and geometric progressions, sums, binomial expansion

The normal distribution: properties, applications, approximations

Trigonometry: further identities, equations, solutions

Trigonometry: trig functions, identities, equations, solutions, graphs

Work, energy and power: further applications, elastic strings and springs