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 1 (FP1). (These notes are in alphabetical order to make it easier to find the specific one)

- Decomposing Transformations II
- Proof By Induction
- 2 x 2 Matrices – Sums, Products Determinants and Inverses
- Advanced Inequalities
- Decomposing Transformations I
- Evaluating Expressions Given in Terms of Roots of Quadratic Equations
- Factorising Polynomials with Complex Roots
- Finding the Area Between Two Curves Written in Polar Coordinates
- Finding the Equation of a Curve After Transformation By a Matrix
- Finding the Equation of a Polynomial Given That it Has Two Purely Imaginary Roots and One Real Root
- Finding the Equations of Tangents and Normals to Parametric Curves
- Finding the Turning Points of Polar Curves
- FP1 NOTES START HERE
- Integration in Polar Coordinates
- Linear Interpolation
- Manipulation of Factorials
- More Advanced Inequalities
- Multiplying and Dividing Complex Numbers
- Parametric Coordinates – Converting Between Rectangular or Cartesian and Parametric Form
- Polar and Coordinate Forms of Complex Numbers – Argand Diagrams
- Properties of Summation
- Recurrence Relations and Closed Forms
- Roots of Polynomial Equations With Real Coefficients
- Series – Standard Expressions for Sums of Powers of Integers
- Series – Standard Expressions for Sums of Powers of Integers
- Simple Algebraic Method for Finding Square Roots of Complex Numbers
- Sketching Curves in Polar Coordinates
- Sketching Curves Involving Quotients of Linear Factors
- Solving Differential Equations – The Integrating Factor Method
- Solving Second Order Linear Homogeneous Differential Equations
- Solving Second Order Linear Non – Homogeneous Differential Equations
- Summation of Polynomial Series
- Summation of Series – Telescoping Series
- The Definition of Constant Coefficient Linear Homogeneous, Linear Non Homogeneous, Non Linear Homogeneous and Non Linear Non Homogeneous Second Order Differential Equations
- The Fundamental Theorem of Algebra
- The General Solution of Trigonometric Equations
- The Need for Complex Numbers
- The Newton – Raphson Method of Finding Roots of Equations
- Transforming a Non – Separable Differential Equation into a Separable Differential Equation
- Transforming and Solving Non – Linear, Non – Homogeneous Differential Equations
- Transforming Differential 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.