Modelling exponential growth and decay
In this tutorial I show you what an exponential function [...]
In this tutorial I show you what an exponential function [...]
Mappings, functions, or both? In this tutorial, we understand the [...]
In this tutorial, we show you how to prove whether [...]
In this tutorial, we go through more examples of mappings [...]
In this tutorial, we understand what a mapping actually is, [...]
In this tutorial I show you how we can use [...]
Some integrals contain square roots. In these you can have [...]
Mid-ordinate Rule is another method used to find the approximate [...]
Simpson's rule is used to find the approximate area under [...]
I now extend the the basic volume of revolution about [...]
I now extend the the basic volume of revolution about [...]
I now introduce you to the volume of revolution about [...]
You should be familiar with the standard integrals \displaystyle\int [...]
In this video I demonstrate the use of the relationship [...]
In this video, I show you how to differentiate the [...]
In this video, I show you how to differentiate the [...]
In this video, I show you how to differentiate the [...]
When sketching graphs you may need to draw in asymptotes [...]
The trapezium rule is used to find the approximate area [...]
In the first video in this series, I show you [...]
This tutorial will show you how to integrate functions that [...]
This tutorial shows you how to do integration by parts [...]
It is important that you can recognise what types of [...]
Some integrals have limits (definite integrals). Make sure you [...]
You can use substitution on some exponential types as [...]
Integration by substitution, sometimes called changing the variable, is used [...]
In this video, I show you how to integrate functions [...]
In this video, I show you how to integrate functions [...]
In this tutorial you are shown how to do integrals [...]
In this tutorial you are shown how to do integrals [...]
In this tutorial you are shown how to do integrals [...]
In this video, I show you how to integrate exponential [...]
In this video I show you how to integrate terms [...]
In this video, you are introduced to the method of [...]
Change of Sign Method for Locating a Root in a [...]
In this video you are shown how to find roots [...]
The quotient rule is used to differentiate fractions which contain [...]
The product rule is used to differentiate products of two [...]
In this tutorial I show you how to differentiate trigonometric [...]
In this tutorial you are shown how to differentiate composite [...]
In this tutorial I show you how to differentiate composite [...]
In this tutorial I introduce the chain rule as a [...]
In this video, I show you how to differentiate the [...]
You will be expected to be able to prove [...]
You will be asked to find exact values say for [...]
You are introduced to the trigonometric sum and difference (addition) [...]
If the equation contains trig functions with the same angle [...]
In this video you are shown the Pythagorean identities and [...]
In this video I show you how to find the [...]
The graphs of the inverse trigonometric functions arcsin(x), arccos(x) and [...]
In this video, I show you how to sketch the [...]
In this video, I introduce you to the definitions of [...]
In this video I introduce you to the natural log [...]
Reflections In this tutorial I show you how to transform [...]
In this tutorial I introduce you to exponential functions and [...]
In the following videos I introduce you to solving modulus [...]
WARNING: CARE MUST BE TAKEN WHEN SOLVING MOD EQUATIONS. There [...]
Remember: f(|x|) reflects the graph to the right of the [...]
Remember: |f(x)| reflects any part of the original f(x) [...]
In this video I introduce you to the modulus function. [...]
In this video I show you the graphical relationship [...]
If you are not sure what an inverse function is [...]
You will be asked to combine functions. In this tutorial [...]
I am often asked what is the domain and range [...]
Being able to transform basic graphs is an essential skill [...]
Being able to transform basic graphs is an essential skill [...]
Being able to transform basic graphs is an essential skill [...]
In this video you are shown some of the basic [...]
In this tutorial I go through an alternative notation for [...]