1. Roots of Polynomial Equations
Root Transformations
Symmetric Sums (Vieta)
2. Rational Functions & Graphs
Asymptotes & Sketching
Graph Relations & Range
3. Summation of Series
Sigma Formulae & Simplification
Method of Differences
4. Matrices
Transformation Matrices
Invariant Lines & Inverse
CIE FP1
Further Pure 1
5. Polar Coordinates
Cartesian-Polar Conversion
Polar Curves & Area
6. Vectors
Planes, Distances & Angles
7. Proof by Induction
Divisibility / Inequality Proof
Derivative Formula Induction