Rationalise or realise denominators

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Advanced Mathematics - Rationalise or realise denominators

Rationalise or realise denominators

It is generally expected that you do not give answers with unreal
expressions or square roots in the denominator. For example:

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Module 1: Glossary

Glossary

Module 2: Differential equations

Introduction

Order and degree of differential equations

Verifying solutions

Rates of change

Rates of change - chain rule

The rates of change example

First order differential equations - type 1

First order differential equations - type 2

Second order differential equations

Module 3: Common exam mistakes

Basic algebra exam mistakes

Using correct notation in exams

Dividing by fractions

Negative signs

Applying half remembered rules incorrectly

Module 4: Successfully completing mathematics exams

Introduction

Look for key words

Check level of accuracy

What form should the answer take?

Don't waste time on work that is not assessed

Use all the information provided in the question

Work out the solution before you look at the answers

Rationalise or realise denominators

Essential skills you need to brush up on before the exams

Decide on the order you answer questions

Timing of questions

Setting out

Don't panic

If you are stuck

Guessing

Learning pattern questions

Learning pattern questions: graphs

Learning pattern questions: complex numbers

Learning pattern questions: differentiation

Learning pattern questions: integration

Learning pattern questions: vectors

Module 5: Kinematics

Introduction

Finding displacement from velocity

Solving differential equations (rectilinear motion) example

Finding acceleration or velocity from displacement

Constant acceleration - introduction

Constant acceleration - example 1

Velocity time graphs - introduction

Finding the acceleration from the velocity time graph

Finding the distance travelled from a velocity time graph

Velocity time graphs - example

Constant acceleration - example 2

Module 6: Motion

Introduction

Newton's laws of motions

Forces-weight

Diagram of forces

Basic equation of motion

Resolution of forces

Horizontal and vertical

Equations of motion

Parallel and perpendicular to a plane

Equations of motion

Moving down the slope

Connected masses

Motion under a constant force

Motion under a constant force - example 1

Motion under a constant force - example 2

Motion under a variable force

Motion under a variable force - example 1

Motion under a variable force - example 2

Motion under a variable force - example 3

Momentum and impulse

Momentum and impulse example

Moving up the slope

Motion under a constant force - example 1 continued

Forces-normal reaction

Forces-friction

Forces-tension

Module 7: Advanced Mathematics: Problems