# Further Maths - Syllabus

> Source: https://ollybritton.com/notes/a-level/further-maths/syllabus/ · Updated: 2024-11-29 · Tags: further-maths, syllabus

# Further Maths Syllabus
Link to specification: <https://qualifications.pearson.com/content/dam/pdf/A%20Level/Mathematics/2017/specification-and-sample-assesment/a-level-l3-further-mathematics-specification.pdf>

A cross means that I feel like I've revised this topic enough.

## Papers
### Paper 1 & 2: Core Pure Mathematics
#### Core Pure 1
* [ ] [Further Maths - Complex Numbers](https://ollybritton.com/notes/a-level/further-maths/topics/complex-numbers/)
* [ ] [Further Maths - Cubics](https://ollybritton.com/notes/a-level/further-maths/topics/cubics/)
* [ ] [Further Maths - Argand Diagrams](https://ollybritton.com/notes/a-level/further-maths/topics/argand-diagrams/)
* [ ] [Further Maths - Conjugates](https://ollybritton.com/notes/a-level/further-maths/topics/conjugates/)
* [ ] [Further Maths - Series](https://ollybritton.com/notes/a-level/further-maths/topics/series/)
* [ ] [Further Maths - Sums of Natural Numbers](https://ollybritton.com/notes/a-level/further-maths/topics/sums-of-natural-numbers/)
* [ ] [Further Maths - Series Tips and Tricks](https://ollybritton.com/notes/a-level/further-maths/topics/series-tips-tricks/)
* [ ] [Further Maths - Sums of Squares](https://ollybritton.com/notes/a-level/further-maths/topics/sums-of-squares/)
* [ ] [Further Maths - Sums of Cubes](https://ollybritton.com/notes/a-level/further-maths/topics/sums-of-cubes/)
* [ ] [Further Maths - Matricies](https://ollybritton.com/notes/a-level/further-maths/topics/matricies/)
* [ ] [Further Maths - Determinants](https://ollybritton.com/notes/a-level/further-maths/topics/determinants/)
* [ ] [Further Maths - Inverting Matricies](https://ollybritton.com/notes/a-level/further-maths/topics/inverting-matricies/)
* [ ] [Further Maths - Solving Systems of Equations Using Matricies](https://ollybritton.com/notes/a-level/further-maths/topics/solving-systems-of-equations-matricies/)
* [ ] [Further Maths - Solving Systems of Equations Using Triangle Method](https://ollybritton.com/notes/a-level/further-maths/topics/solving-systems-of-equations-triangle/)
* [ ] [Further Maths - Volumes of Revolutions](https://ollybritton.com/notes/a-level/further-maths/topics/volumes-of-revolutions/)
* [ ] [Further Maths - Radians](https://ollybritton.com/notes/a-level/further-maths/topics/radians/)
* [1] [Further Maths - Roots of Polynomials](https://ollybritton.com/notes/a-level/further-maths/topics/roots-of-polynomials/)
* [ ] [Further Maths - Polar Form](https://ollybritton.com/notes/a-level/further-maths/topics/polar-form/)
* [ ] [Further Maths - Trigonometry Values](https://ollybritton.com/notes/a-level/further-maths/topics/trigonometry-values/)
* [ ] [Further Maths - Odd and Even Functions](https://ollybritton.com/notes/a-level/further-maths/topics/odd-and-even-functions/)
* [ ] [Further Maths - Loci in the Argand Diagram](https://ollybritton.com/notes/a-level/further-maths/topics/loci-argand-diagram/)
* [ ] [Further Maths - Regions in the Argand Diagram](https://ollybritton.com/notes/a-level/further-maths/topics/regions-argand-diagram/)
* [ ] [Further Maths - Linear Transformations](https://ollybritton.com/notes/a-level/further-maths/topics/linear-transformations/)
* [ ] [Further Maths - Induction](https://ollybritton.com/notes/a-level/further-maths/topics/induction/)
* [ ] [Further Maths - Induction for Series](https://ollybritton.com/notes/a-level/further-maths/topics/induction-for-series/)
* [ ] [Further Maths - Induction for Divisibility](https://ollybritton.com/notes/a-level/further-maths/topics/induction-for-divisibility/)
* [ ] [Further Maths - Induction for Matricies](https://ollybritton.com/notes/a-level/further-maths/topics/induction-for-matricies/)
* [ ] [Further Maths - Vectors](https://ollybritton.com/notes/a-level/further-maths/topics/vectors/)
* [ ] [Further Maths - Vector Equation of a Line](https://ollybritton.com/notes/a-level/further-maths/topics/vector-equation-of-a-line/)
* [ ] [Further Maths - Vector Equation of a Plane](https://ollybritton.com/notes/a-level/further-maths/topics/vector-equation-of-a-plane/)
* [ ] [Further Maths - Dot Product](https://ollybritton.com/notes/a-level/further-maths/topics/vector-dot-product/)

#### Core Pure 2
* [ ] [Further Maths - The Method of Differences](https://ollybritton.com/notes/a-level/further-maths/topics/the-method-of-differences/)
* [ ] [Further Maths - Partial Fractions](https://ollybritton.com/notes/a-level/further-maths/topics/partial-fractions/)
* [ ] [Further Maths - Maclaurin Series](https://ollybritton.com/notes/a-level/further-maths/topics/maclaurin-series/)
* [ ] [Further Maths - Exponential Form of Complex Numbers](https://ollybritton.com/notes/a-level/further-maths/topics/exponential-form-of-complex-numbers/)
* [ ] [Further Maths - Trig Equations with Complex Numbers](https://ollybritton.com/notes/a-level/further-maths/topics/trig-equations-with-complex-numbers/)
* [ ] [Further Maths - Roots of Complex Numbers](https://ollybritton.com/notes/a-level/further-maths/topics/roots-of-complex-numbers/)
* [ ] [Further Maths - Hyperbolic Functions](https://ollybritton.com/notes/a-level/further-maths/topics/hyperbolic-functions/)
* [ ] [Further Maths - Mean Value of a Function](https://ollybritton.com/notes/a-level/further-maths/topics/mean-value-of-a-function/)
* [ ] [Further Maths - Improper Integrals](https://ollybritton.com/notes/a-level/further-maths/topics/improper-integrals/)
* [ ] [Further Maths - Integrating and Differentiating Inverse Trig Functions](https://ollybritton.com/notes/a-level/further-maths/topics/integrating-and-differentiating-inverse-trig-functions/)
* [ ] [Further Maths - Differential Equations](https://ollybritton.com/notes/a-level/further-maths/topics/differential-equations/)
* [ ] [Further Maths - Coupled Differential Equations](https://ollybritton.com/notes/a-level/further-maths/topics/coupled-differential-equations/)
* [ ] [Further Maths - Simple Harmonic Motion](https://ollybritton.com/notes/a-level/further-maths/topics/simple-harmonic-motion/)

### Papers 3 & 4: Choices
#### Further Pure 1
* [ ] [Further Maths - Inequalities](https://ollybritton.com/notes/a-level/further-maths/topics/inequalities/)
* [ ] [Further Maths - Conic Sections](https://ollybritton.com/notes/a-level/further-maths/topics/conic-sections/)
* [ ] [Further Maths - T-formulae](https://ollybritton.com/notes/a-level/further-maths/topics/t-substitution/)
* [ ] [Further Maths - Leibnitz's Theorem](https://ollybritton.com/notes/a-level/further-maths/topics/leibnitz-theorem/)
* [ ] [Further Maths - L'Hôpital's Rule](https://ollybritton.com/notes/a-level/further-maths/topics/lhopitals-rule/)
* [ ] [Further Maths - Weierstrass Substitution](https://ollybritton.com/notes/a-level/further-maths/topics/weierstrass-substitution/)
* [ ] [Further Maths - Taylor Series](https://ollybritton.com/notes/a-level/further-maths/topics/taylor-series/)
* [ ] [Further Maths - Limits](https://ollybritton.com/notes/a-level/further-maths/topics/limits/)
* [ ] [Further Maths - Numerical Methods](https://ollybritton.com/notes/a-level/further-maths/topics/numerical-methods/)
* [1] [Further Maths - Reducible Differential Equations](https://ollybritton.com/notes/a-level/further-maths/topics/reducible-differential-equations/)
* [ ] [Further Maths - Cross Product](https://ollybritton.com/notes/a-level/further-maths/topics/cross-product/)

#### Decision Mathematics
* [ ] [Further Maths - Bubblesort](https://ollybritton.com/notes/a-level/further-maths/topics/bubblesort/)
* [ ] [Further Maths - Shuttlesort](https://ollybritton.com/notes/a-level/further-maths/topics/shuttlesort/)
* [ ] [Further Maths - Bin-packing](https://ollybritton.com/notes/a-level/further-maths/topics/bin-packing/)
* [ ] [Further Maths - Graphs](https://ollybritton.com/notes/a-level/further-maths/topics/graphs/)
* [ ] [Further Maths - Eulerian Trails](https://ollybritton.com/notes/a-level/further-maths/topics/eulerian-trails/)
* [ ] [Further Maths - Hamiltonian Cycles](https://ollybritton.com/notes/a-level/further-maths/topics/hamiltonian-cycles/)
* [ ] [Further Maths - Kruskal's Algorithm](https://ollybritton.com/notes/a-level/further-maths/topics/kruskals/)
* [ ] [Further Maths - Prim's Algorithm](https://ollybritton.com/notes/a-level/further-maths/topics/prims/)
* [ ] [Further Maths - Polar Coordinates](https://ollybritton.com/notes/a-level/further-maths/topics/polar-graphs/)
* [ ] [Further Maths - Dijkstra's Algorithm](https://ollybritton.com/notes/a-level/further-maths/topics/dijkstras/)
* [ ] [Further Maths - Route Inspection](https://ollybritton.com/notes/a-level/further-maths/topics/route-inspection/)
* [1] [Further Maths - Travelling Salesperson Problem](https://ollybritton.com/notes/a-level/further-maths/topics/tsp/)
* [ ] [Further Maths - Floyd's Algorithm](https://ollybritton.com/notes/a-level/further-maths/topics/floyds-algorithm/)
* [ ] [Further Maths - Planarity Algorithm](https://ollybritton.com/notes/a-level/further-maths/topics/planarity/)

### Info
This page was last updated on `2022-03-16`.

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