Mathematics | 9709

Pure mathematics 1 (P1) - Quadratics: solution of quadratic equations, nature of roots, quadratic inequalities Pure mathematics 1 (P1) - Functions: notation, domain and range, composite and inverse functions, sketching graphs Pure mathematics 1 (P1) - Coordinate geometry: equations of straight lines, intersections, midpoints, gradients, circles Pure mathematics 1 (P1) - Circular measure: radian measure, arc length, area of sector, small angle approximations Pure mathematics 1 (P1) - Trigonometry: trig functions, identities, equations, solutions, graphs Pure mathematics 1 (P1) - Series: arithmetic and geometric progressions, sums, binomial expansion Pure mathematics 1 (P1) - Differentiation: techniques, stationary points, tangents, normals, rates of change Pure mathematics 1 (P1) - Integration: techniques, definite integrals, areas under curves Pure mathematics 3 (P3) - Algebra: partial fractions, series, binomial expansion Pure mathematics 3 (P3) - Functions: further domain and range, modulus function, sketching graphs Pure mathematics 3 (P3) - Coordinate geometry: equations of lines and curves, parametric equations Pure mathematics 3 (P3) - Trigonometry: further identities, equations, solutions Pure mathematics 3 (P3) - Differentiation: further techniques, higher derivatives, stationary points Pure mathematics 3 (P3) - Integration: techniques, volumes of revolution, differential equations Pure mathematics 3 (P3) - Complex numbers: representation, arithmetic, modulus-argument form, loci, De Moivre’s theorem Pure mathematics 3 (P3) - Numerical methods: numerical solutions of equations, iterative methods Mechanics (M1) - Forces and equilibrium: vectors, resultants, equilibrium of a particle Mechanics (M1) - Kinematics of motion in a straight line: displacement, velocity, acceleration, equations of motion Mechanics (M1) - Newton’s laws of motion: force, mass, acceleration, connected particles Mechanics (M1) - Energy, work and power: kinetic and potential energy, conservation, work done, power Mechanics (M2) - Kinematics of motion in 2 dimensions: displacement, velocity, acceleration, projectile motion Mechanics (M2) - Forces: motion of a body on a rough surface, connected particles, equilibrium of rigid bodies Mechanics (M2) - Centres of mass: position, applications to uniform bodies and composite bodies Mechanics (M2) - Work, energy and power: further applications, elastic strings and springs Probability & statistics 1 (S1) - Representation of data: diagrams, measures of central tendency and dispersion Probability & statistics 1 (S1) - Permutations and combinations: arrangements, selections Probability & statistics 1 (S1) - Probability: rules, conditional probability, mutually exclusive and independent events Probability & statistics 1 (S1) - Discrete random variables: probability distributions, expectation, variance Probability & statistics 1 (S1) - The normal distribution: properties, applications, approximations Probability & statistics 2 (S2) - Continuous random variables: probability density functions, expectation, variance Probability & statistics 2 (S2) - Sampling and estimation: random and non-random samples, distribution of sample mean, confidence intervals Probability & statistics 2 (S2) - Hypothesis tests: significance levels, tests for mean, use of normal distribution, correlation and regression