Advanced mathematics topics beyond ALevel Mathematics.
โ Back to ALevel CoursesALevel Further Mathematics extends pure mathematics, mechanics, and statistics.
Cambridge International AS & A Level Further Mathematics. Notes, proofs, and summaries by topic.
Roots of polynomial equations and their relationships.
Rational functions, asymptotes, and sketching.
Summation of series and method of differences.
Matrices, transformations, and determinants.
Polar coordinates and curves.
Vectors in 2D and 3D, scalar and vector products.
Proof by mathematical induction.
Cambridge International AS & A Level Further Mathematics. Notes, proofs, and summaries by topic.
Hyperbolic functions, identities, and inverses.
Matrices, eigenvalues, and diagonalisation.
Differentiation and applications.
Integration and applications.
Complex numbers, loci, and De Moivre's theorem.
Forming and solving differential equations.
Cambridge International AS & A Level Further Mathematics. Notes, proofs, and summaries by topic.
Projectile motion in two dimensions.
Forces, moments, and equilibrium.
Circular motion and centripetal force.
Elastic strings and springs.
Motion with variable force.
Momentum and impulse.
Cambridge International AS & A Level Further Mathematics. Notes, proofs, and summaries by topic.
Continuous random variables and probability density.
Inference with normal and t-distributions.
Hypothesis testing using t-tests.
Non-parametric statistical tests.
Probability generating functions and applications.