Topic 6 – Core: Calculus
Differentiation
Differentiation – Introduction
Tangents and Normals
Stationary Points
Increasing and Decreasing functions
Standard Differentials
The Chain Rule
The Product and Quotient Rules
More Standard Differentials
The Reciprocal Function of dy/dx
Exam Questions – Differentiation
Connected Rates of Change
Integration
Integration – Introduction
Equations of Curves
Definite Integration
Applications of Integration – Area bound by a curve
Applications of Integration – Volumes of revolution
- Volume of revolution about the x-axis
- Exam Questions - Volume of revolution about the x-axis
- Volume of revolution about the x-axis generated between curves
- Volume of Revolution about the y-axis
- Exam Questions - Volume of Revolution about the y-axis
- Volume of Revolution about the y-axis generated between curves