## Algebra and Functions

## Working with Functions

## Graph Transformations and Asymptotes

## Trigonometry

## Sec θ, Cosec θ and Cot θ

## Inverse trigonometric functions

## Identities & Equations – Pythagorean Type

## Logarithmic and Exponential Functions

## The Exponential Function e^{x} and Natural Log Functions

## Differentiation

## Standard Differentials

## The Chain Rule

## The Product and Quotient Rules

## More Standard Differentials

## The Reciprocal Function of dx/dy

## Integration

## Integration – Common Functions

- Integration:(ax+b)
^{n}types - Exam Questions - Integration:(ax+b)
^{n}types - Integrating exponential functions e
^{x}, e^{ax}and e^{(ax+b)} - Exam Questions - Integrating exponential functions e
^{x}, e^{ax}and e^{(ax+b)} - Integrating reciprocal functions 1/x and 1/(ax+b)
- Exam Questions - Integrating reciprocal functions 1/x and 1/(ax+b)
- Integrals of the form : f '(x)/f(x)
- Integrals of the form : f'(x)e
^{f(x)}

## Integrals of Trigonometric Functions

## Integration by Substitution

## Integration by Parts

## Standard Integrals Involving Inverse Trigonometric Functions

## 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