Read your relevant specification here to know what you have to learn. We currently have the following maths notes on A-Level Maths Further Pure 3 (FP3). (These notes are in alphabetical order to make it easier to find the specific one)

- Cyclic Groups
- Isomorphic Groups
- Lagrange’s Theorem
- Complex Fractions, Argand Diagrams, Magnitudes, Arguments and Products of Complex Numbers and Polar Forms
- Group Generators
- Improved Euler Formulae for Solving First Order Differential Equations Numerically
- Loci
- Subgroups
- Abelian and Non Abelian Groups
- Basic Maclaurin Series
- Basic Taylor Series
- Classifying Groups of Order 4
- Classifying Groups of Order 6
- Commutativity of Cyclic Groups
- de Moivre’s Theorem
- Descriptions of Transformations Represented by Matrices in Two Dimensions
- Differentiating Artan x n Times
- Eigenvalues and Eigenvectors
- Finding a Taylor Series for the Solution to a Differential Equation Given Initial Conditions
- Finding Cartesian Equations for Curves Given in Polar Coordinates
- Finding Factors in the Determinant of a Matrix
- Finding Inverses of 3×3 Matrices
- Finding Inverses of 3×3 Matrices
- Finding the Line of Intersection of Two Planes
- Finding the Volume of a Pyramid Using Vectors
- FP4 – Direction Cosines
- Induction
- Invariant Points
- Linear Independence and Systems of Equations
- Linear Independence and Volumes of Parallelpipeds
- Powers of Matrices
- Proof of Formulae Used to Solve Differential Equations Numerically
- Proof of Lagrange’s Theorem
- Properties of Groups – A Summary
- Properties of Matrix Multiplication
- Proving that Vectors are Coplanar
- Roots and Powers of Complex Numbers
- Rotation Matrices in Three Dimensions
- Solving Second Order Constant Coefficient Linear Differential Equations
- Testing Whether a Set Forms a Group
- The Angle Between Two Planes
- The Cross Product
- The Dot Product
- The Euler Formula for Numerical Solutions of First Order Differential Equations
- The Image of a Line Under the Transformation Represented by a Matrix
- The Image of a Line Under Transformation By a Matrix
- The Integrating Factor Method of Solving First Order Differential Equations
- The Vector or Cross Product
- Transforming Differential Equations
- Using de Moivre’s Theorem to Find Roots of Polynomial Equations

If you believe that there are any mistakes with the notes or that there are notes missing, then please contact us here. We advise you to use the search bar for our website on the right to find any notes that you think are missing from this section as those particular notes might be somewhere else on this website. These notes are for all A-Level specifications but we have found it difficult to accommodate each specification for each module so contact us if you have a solution or if there are notes missing for a specification that you think should be here. We are trying to make this a maths website for all. Any help or feedback will be appreciated.