A-Level Mathematics
A premium course structure built from the official detailed content statements: Pure Mathematics, Statistics and Mechanics.
A premium course structure built from the official detailed content statements: Pure Mathematics, Statistics and Mechanics.
Proof, algebra, geometry, sequences, trigonometry, exponentials, calculus, numerical methods and vectors.
Sampling, data presentation, probability, statistical distributions and hypothesis testing.
Quantities, kinematics, forces, Newton’s laws and moments.
Proof, contradiction, counterexamples and logical mathematical arguments.
Indices, surds, quadratics, inequalities, graphs, functions and modelling.
Straight lines, circles, parametric equations and geometric models.
Binomial expansion, sigma notation, arithmetic and geometric series.
Radian measure, identities, trig graphs, equations and modelling.
Exponential models, logarithms, growth, decay and graph transformations.
Derivatives, tangents, stationary points, product, quotient and chain rules.
Fundamental theorem, definite integrals, substitution, parts and differential equations.
Root finding, iteration, Newton-Raphson and trapezium rule.
2D and 3D vectors, position vectors, magnitude and applications.
Populations, samples, sampling methods and critique.
Histograms, scatter diagrams, regression, variation and outliers.
Independent events, conditional probability and modelling.
Binomial and Normal distributions with calculator technology.
Null hypothesis, significance, critical regions and interpretation.
SI units, velocity, acceleration, force, weight and moments.
Motion graphs, SUVAT, calculus in motion and projectiles.
Newton’s laws, equilibrium, connected particles and friction.
Moments in simple static contexts.