Complex numbers specimen questions (mixed exam boards)
Complex numbers In this tutorial, we solve problems from different [...]
Complex numbers In this tutorial, we solve problems from different [...]
Sometimes you will have integrals that approach asymptotes for certain [...]
Further help HOW TO FIND THE INVERSE OF A 3x3 [...]
Further examples to try on differentiating inverse trig functions. Example [...]
Here I show you how to find the acute [...]
Transformations of the mean value of a function [...]
Finding the shortest distance of a point to a line [...]
The shortest distance from a point to a plane involves [...]
Example to try [...]
In this video tutorial you are introduced to the mod-arg [...]
In this video I introduce you to the methods of [...]
Here you will find how to integrate standard hyperbolic functions [...]
Here you will find how to integrate standard hyperbolic functions [...]
To find the inverse of a 3x3 matrix A say, [...]
Introduction - Method Numerical examples \text{If } A= [...]
Differentiating inverse sin(x/a) Differentiating inverse cos(x/a) [...]
Finding a cubic equation based on roots of [...]
In these videos I show you how the sum and [...]
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 [...]
Please note: The matrix proof by induction is on [...]
You should be familiar with the standard integrals \displaystyle\int [...]
A quartic equation can have 4 real roots or 2 [...]
A cubic equation can have 3 real roots or 1 [...]
If a quadratic equation has complex roots then they are [...]
In this video I show you how to find the [...]
In this video you are shown that the angle between [...]
A line will either be parallel to a plane or [...]
There are various forms for the equation of a plane. [...]
In this video I introduce you to the Cartesian form [...]
In this video I introduce you to the parametric form [...]
Using the vector parametric form for a line, I show [...]
In this series of three videos I show you how [...]
Here you are shown how to differentiate the hyperbolic functions [...]
Some hyperbolic equations can be solved by using hyperbolic [...]
Inverse hyperbolic functions can be expressed in terms of natural [...]
You are now shown how to draw the graphs of [...]
Hyperbolic identities can be derived very easily from similar trigonometric [...]
In this video I show you 3 basic hyperbolic identities [...]
In this video I show you how to work solve [...]
In this video I now use the properties of the [...]
In this video I show you how you can use [...]
Hyperbolic functions are similar to trigonometric functions. In this video [...]
In these videos I show you how to find the [...]
In these two videos you are shown a couple of [...]
In this video you are introduced to the method used [...]
I now introduce you to plotting the curve r=a sin2θ. [...]
Now I show you a very common curve which you [...]
Polar equations of circles and arcs. [...]
I now move on to another common curve, the half-line. [...]
I now introduce you to plotting some common types of [...]
I now work the other way round and show you [...]
In this video I now show you how to convert [...]
I now run over three examples where you have to [...]
I would encourage you to look at or even try [...]
You would have used the cartesian system to define the [...]
In previous videos I have shown you the series expansions [...]
In this video I show you how to derive the [...]
In this video I show you how to derive the [...]
In this video I show you how to derive the [...]
Maclaurin's series can be used to find expansions of functions [...]
You can use boundary conditions to find a particular solution [...]
f(x) = k (constant types) There are times when [...]
In this video I give a worked example of the [...]
In this video I give a worked example of the [...]
In this video I give a worked example of the [...]
In this video I give a worked example of the [...]
In this video I give a worked example of the [...]
In this video I introduce you to the general solutions [...]
In this video I show you how to solve the [...]
In this video I show you how to solve the [...]
In this tutorial I look at the locus of a [...]
In this tutorial I look at the locus of a [...]
In this tutorial I look at the locus of a [...]
In this series of videos I look at the locus [...]
Example - cube roots of 1 In this series of [...]
Introduction - new identities you will need In the next [...]
In this video tutorial, I show you how to express [...]
In this video I introduce you to De Moivre's theorem [...]
Multiplication rule In this video I prove to you the [...]
In this video I show you how to find the [...]
In this video I show you a method known as [...]
Example 1 In this video I show you how to [...]
Proof that an expression is divisible by a certain integer [...]
Example 1 In the following videos I show you how [...]
In this video I show you how to use mathematical [...]
In this video I show you how to use mathematical [...]
In this video I show you how to use mathematical [...]
In this video I now combine the various summations for [...]
In this video I now introduce you to the standard [...]
In this video I now introduce you to the [...]
I now show you how we can use the determinant [...]
I now show you how we can use the inverse [...]
I now show you how we can combine two or [...]
In this video I test you on compiling transformation matrices. [...]
In this series of tutorials I show you how we [...]
In this series of tutorials I show you how we [...]
In this series of tutorials I show you how we [...]
Simultaneous equations can be solved by using matrices. Examples [...]
In this series of videos I continue to extend [...]
There are two matrices which are very important and are [...]
In this tutorial I show you how to multiply two [...]
In this tutorial I show you how to do addition [...]
In this tutorial, I show you what a matrix is [...]
In this tutorial I show you how to solve problems [...]
In this tutorial you are introduced to the modulus and [...]
The Argand diagram is used to represent complex numbers. In [...]
I now show you how we can use complex conjugates [...]
What do we mean by a complex conjugate and complex [...]
These are the basic skills of handling complex numbers that [...]
In this video you are introduced to complex numbers. I [...]
In this video I show you how to find the [...]
If two lines are not parallel then they will either [...]
In this video you are shown the conditions for two [...]
In this video you are shown how to find the [...]
This tutorial will show you how to get to any [...]
The scalar product can be used to test if two [...]
In this video I show you how the scalar product [...]
In this tutorial I show you how to find the [...]
In the first video in this series, I show you [...]
Some integrals require you to split a fraction into [...]
In this tutorial I show you how to handle integrals [...]