Unit 1 covers the following elements: in Pure Mathematics, differential calculus and integral calculus involving polynomial functions and rational functions, optimisation, applications of calculus including determination of stationary points of a curve, equation of tangents and normals to curves, area bounded by a curve and a line or area bounded by two curves. In Statistics, game theory, the binomial and Poisson distributions and an introduction to the normal distribution.

Unit 2 covers the following elements: in Pure Mathematics, partial fractions, composite and inverse functions, logarithms, trigonometry and areas of sectors and segments of circles. In Statistics, the normal approximation to the binomial and Poisson distributions, the distribution of the sample mean, construction of and interpretation of confidence intervals.

Unit 3 covers the following elements: in Pure Mathematics, advanced differentiation techniques and applications including the chain rule, product and quotient rule, differentiation of parametric forms and implicit functions. In Statistics, hypothesis testing of the mean and hypothesis testing of contingency tables.

Unit 4 covers the following elements: in Pure Mathematics, advanced integration techniques including integration by substitution and integration by parts, solution of ‘variables separable’ differential equations, iteration and vector theory. In Statistics, the product moment correlation coefficient, Spearman’s rank coefficient, regression analysis and continuous probability distributions.

Unit 1 covers the topics of: scalars and vectors, kinematics, motion on an inclined plane, Newton’s laws of motion, motion of a projectile under gravity, the principle of moments, equilibrium, the principle of conservation of linear momentum, conservation of energy principle.

Unit 2 covers the topics of: circular motion at a constant speed, moments of inertia, rotational kinetic energy and angular momentum, motion in a horizontal circle and a vertical circle, circular orbits, oscillating systems, simple harmonic motion, the simple pendulum, Hooke’s law, compression and extension of a spring, centre of mass of a rigid body.

Unit 3 covers planning, implementation, analysis of evidence and drawing conclusions for experimental work. This includes evaluating evidence, checking reliability of conclusions drawn and discussing limitations of experimental work. This unit is assessed via an ISA examination, set at A2 level standard.

Unit 4 covers the topics of: gravitation, equipotentials, application to satellites, the concept of a geostationary orbit, thermodynamics and thermal transfer, Brownian motion, structures, stress and strain, Young’s modulus.

Unit 1 covers Core Chemistry including atomic structure, the amount of substance, concept of a mole and the Avogadro constant, bonding, periodicity, redox reactions and the halogens.

Unit 2 covers Core Chemistry including energetics, kinetics, equilibria, organic chemistry.

Unit 3 covers the planning, implementation, analysis and evaluation of a practical assignment. This incorporates a practical and written assessment in the form of an ISA examination, set at A2 level standard.

Unit 4 covers Extended Chemistry including study of acids and bases, redox equilibria, organic chemistry, structure and determination.

Unit 1 covers Microeconomics: The Market Mechanism. Including; resources, production, supply and demand, economic growth, recession, the importance of elasticity, the meaning of market failure, merit and demerit goods, positive and negative externalities and reasons for state intervention in the supply of goods and services.

Unit 2 covers Macroeconomics: Managing the Economy. Consideration of the different types of economies; command economy, free economy, mixed economy and measures of these economies.

Unit 3 covers Development Economics, concepts of the developed world and the developing world. Including; definition of development, constraints on development, costs of economic growth, development strategies, sources of external finance and the impact of globalisation.

Unit 4 covers the UK in global economy (the application of material studied in unit 2). The aims of Economic Policy and indicators used: (a) Economic Growth (b) Inflation (c) Employment (d) Balance of Payments, links to the global economy and globalisation.