Track further pure, mechanics and probability & statistics beyond single Mathematics (9709). Route options may vary by centre — use this list with your syllabus document.
| Topic | Sub-Topic | Confidence (1–5) | Last Reviewed | Next Review |
|---|---|---|---|---|
| Further Pure Mathematics 1 | Roots of polynomial equations | |||
| Further Pure Mathematics 1 | Rational functions and partial fractions | |||
| Further Pure Mathematics 1 | Polar coordinates and curves | |||
| Further Pure Mathematics 1 | Proof by induction | |||
| Further Pure Mathematics 1 | Summation of series | |||
| Further Pure Mathematics 1 | Complex numbers: modulus, argument, loci | |||
| Further Pure Mathematics 1 | De Moivre’s theorem and roots of unity | |||
| Further Pure Mathematics 2 | Matrices: transformations, inverse, eigenvalues and eigenvectors | |||
| Further Pure Mathematics 2 | Hyperbolic functions and identities | |||
| Further Pure Mathematics 2 | Differentiation and integration techniques | |||
| Further Pure Mathematics 2 | First- and second-order differential equations | |||
| Further Pure Mathematics 2 | Maclaurin and Taylor series | |||
| Further Pure Mathematics 2 | Further work on vectors and geometry | |||
| Further Mechanics | Motion in two dimensions: projectiles | |||
| Further Mechanics | Equilibrium of rigid bodies | |||
| Further Mechanics | Circular motion | |||
| Further Mechanics | Hooke’s law and elastic strings/springs | |||
| Further Mechanics | Work, energy and power in dynamics | |||
| Further Mechanics | Momentum and impulse in two dimensions | |||
| Further Probability & Statistics | Continuous random variables | |||
| Further Probability & Statistics | Linear combinations of random variables | |||
| Further Probability & Statistics | Inference using normal and t-distributions | |||
| Further Probability & Statistics | Chi-squared tests and goodness of fit | |||
| Further Probability & Statistics | Non-parametric tests (where in syllabus) | |||
| Further Probability & Statistics | Bivariate data: correlation and regression |
Use with our Past Paper Finder for Further Mathematics past papers.