Identity and inverse elements
You should already be familiar with binary operations, and properties [...]
Binary operations
In the previous video I looked at the definition of [...]
Definition
A binary operation * on a set of real numbers [...]
Shortest distance from a point to a plane
The shortest distance from a point to a plane involves [...]
Modulus-argument form of a complex number
In this video tutorial you are introduced to the mod-arg [...]
Shortest distance between two skew lines
Trying to visualise the shortest distance between two skew lines [...]
Vector product form of a line
Using the vector parametric form for a line, I show [...]
Applications : Area of a triangle and parallelogram
The vector product or cross product can be used to [...]
Vector product (cross product)
You should be already familiar with the scalar product or [...]
The angle between two planes
In this video you are shown that the angle between [...]
The equation of the line of intersection between two non parallel planes
Two non-parallel planes will intersect along a line. In this [...]
Finding the point of intersection between a line and a plane
A line will either be parallel to a plane or [...]
Scalar product forms of a plane
There are various forms for the equation of a plane. [...]
Cartesian form of a plane
In this video I introduce you to the Cartesian form [...]
Parametric vector form of a plane
In this video I introduce you to the parametric form [...]
Cartesian form of a line
Using the vector parametric form for a line, I show [...]
Using substitution to reduce a differential equation to a known form
A substitution can often change a second order differential equation [...]
Particular solutions using boundary conditions to solve differential equations
You can use boundary conditions to find a particular solution [...]
Special types of particular integrals
f(x) = k (constant types) There are times when [...]
General solutions where f(x) = λ cosωx + µ sinωx (trig types)
In this video I give a worked example of the [...]
General solutions where f(x) = kepx (exponential types)
In this video I give a worked example of the [...]
General solutions where f(x) = kx2 (quadratic types)
In this video I give a worked example of the [...]
General solutions where f(x) = kx (linear types)
In this video I give a worked example of the [...]
General solutions where f(x) = k (constant types)
In this video I give a worked example of the [...]
How to solve second order linear differential equations that equal zero
In this video I introduce you to the general solutions [...]
Using substitution to reduce a differential equation to a known form
Often the use of a substitution can alter the format [...]
Solving equations of the form dy/dx + Py = Q using an integrating factor
In this video I show you how to solve the [...]
Exact equations where one side is the exact derivative of a product
In this video I show you how to solve the [...]
Separating the variables and sketching a family of curves
In this video I show introduce you to what [...]
Working with constants in log types
In this video I demonstrate the method of handling [...]
Differential Equations – Finding a general and a particular solution
In this video I introduce you to how we solve [...]
nth roots of a complex number
Example - cube roots of 1 In this series of [...]
Expressing sinnθ and cosnθ in terms of sin(kθ) and cos(kθ)
Introduction - new identities you will need In the next [...]
Expressing sin(nθ) and cos(nθ) in terms of sinθ and cosθ
In this video tutorial, I show you how to express [...]
De Moivre’s theorem
In this video I introduce you to De Moivre's theorem [...]
Multiplication and division rules for mod and argument of two complex numbers
Multiplication rule In this video I prove to you the [...]
Exponential Form (Euler’s relation)
In this video I show you how to find the [...]
Differential Equations – Exponential and trig type
In this video I look at exponential and trig [...]