Mathematics 2
The advanced optional maths module: functions, sequences & series, coordinate geometry, trigonometry, logarithms and calculus. Assumes all of Mathematics 1.
Algebra & functions
11 min read
Rational indices, surds, quadratics and the discriminant, simultaneous equations, inequalities, polynomial division and the factor theorem.
Sequences & series
9 min read
Recurrence relations, arithmetic and geometric series, the sum to infinity, and the binomial expansion.
Coordinate geometry
9 min read
Equations of straight lines, the equation of a circle in both forms, and the circle properties used in proofs.
Trigonometry
10 min read
The sine and cosine rules, radian measure, the trig identities, and solving trig equations in a given interval.
Exponentials & logarithms
8 min read
The graph of aˣ, the laws of logarithms, and solving equations of the form aˣ = b.
Differentiation
9 min read
The derivative as a gradient, differentiating powers of x, and finding tangents, normals and stationary points.
Integration
9 min read
Indefinite and definite integrals of powers, the area under a curve, and the trapezium rule.
Graphs & transformations
9 min read
Sketching the standard functions, the four graph transformations, and reading roots and intersections from graphs.