## Standard Level

Polynomial Differentiation

Equation of a Tangent

Polynomial Integration

Trapezium Rule

## Higher Level

Differentiation from First Principles

Further Differentiation

—–Trig and Exponential Functions

—–Chain Rule

—–Product Rule

—–Quotient Rule

Second Derivative

—–Maxima and Minima

—–Concave and Convex

Further Integration

—–Reverse Chain Rule

Areas and Volumes

—–Areas between Lines

—–Solids of Revolution

Rates of Change

Kinematics

Differential Equations

Numerical Methods

—– Slope Fields

—– Euler’s Method for First and Second order Equations

—– Coupled Systems