The following topics are taught in unit 2 of Higher from October to December
Quadratics
Completing the square
Quadratic inequations
Discriminant
Using the discriminant
Intersecting lines & parabolas
Functions from graphs
Polynomials
Introduction
Dividing polynomials
Factorising polynomials
Finding unknown coefficients
Solving equations
Finding functions from graphs
Vectors
Unit Vectors
Position Vectors
Basis Vectors
Collinearity in 3D
Dividing a Line
Scalar Product 1
Scalar Product 2
Angle Between Vectors
Perpendicular Vectors
Properties of Scalar Product
Integration
Harder examples of integration
Differential equations
Definite integrals
Area under a curve
Area between curves
Integrating sin & cos
Integrating using the chain rule
Trig equations
Radians
Exact values
Solving trig equations
Addition formulae
Double angle formula
Harder trig equations
Trig identities
Quadratic Inequalities
Synthetic division
Definite Integrals
Differential Equations