# P2 Tutorials

## Algebra and Functions

## Algebraic Long Division

## Factor and Remainder Theorems

## Logarithmic and Exponential Functions

## Exponential Functions and Logarithms

- Exponential functions: what they are and their graphs
- What do we mean by a log?
- Rules of logs
- Logarithms - Change of Base
- Simplifying and expanding
- Converting between Logarithmic and Power (Exponential) equations
- Modelling exponential growth and decay
- Exponential and log equations
- Simultaneous equations
- Solving inequalities
- Exam Questions - Logarithms

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

## Modelling Curves of the form y=kx^{n} and y=ka^{x}

## Trigonometry

## Sec θ, Cosec θ and Cot θ

## Identities & Equations – Pythagorean Type

## Identities – Addition type

## Identities & Equations – Double angle type

## Identities – Half angle type

## Identities – Triple angle type

## Identities & Equations – Harmonic Formulae

## Exam Questions – Mixed trigonometry

## Differentiation

## Standard Differentials

## The Chain Rule

## The Product and Quotient Rules

## More Standard Differentials

## The Reciprocal Function of dx/dy

## Parametric Functions

## 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)}