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This video recaps the work covered throughout the Methods 1 and 2 course. As Methods 3 and 4 builds on the work in Methods 1 and 2, this video takes a look at solving simple algebraic equations before ramping up in complexity by adding fractional equations before moving onto solving simultaneous equations. It finishes with a look at worded problems and how they can be broken down before being solved. As is usual in all my videos, there is a mix of humour and excellent teaching where the examples are broken down and referenced to the theory.
This video takes a look at what a literal equation is both in terms of linear equations and simultaneous equations. I take the time to show you how to solve them. With the simultaneous equations, I show two methods; elimination and substitution. This is an important video as it scaffolds the learning which will be needed later in the course. I hope you enjoy the video
This video is a recap of all the work needed for coordinate geometry. It looks at how we can use two points to find the distance between them, the midpoint, the gradient of the line, the equation of the line, the equation of lines which are running parallel and perpendicular which pass through certain points and then completed by looking at how to find the angle between the line and the x-axis. All in under 20 minutes! I hope you enjoy the video which is part of the Mathematical Methods Units 3 and 4 course here in Australia.
If there is anything you want to know about Matrices, then it's included in this video! I start by looking at the form of a Matrix. Moving on to look at how to define a matrix, what an element is. Why are rows and columns so important. What does it mean for a matrix to be defined. How to add, subtract and multiply by a scalar before moving on to the idea of Identity matrices, square matrices and finally look at multiplying them together. All in just a few minutes! If it's not in this video, then it's not worth covering. I hope you enjoy it.
Have you ever wondered what it is you're ACTUALLY doing when you solve simultaneous equations? Well, this video will help to explain. It'll also tell you that we might have lied to you. Or, at least, not told you the whole truth!!! There are three ways that two lines might meet and this video shows them all to you. There is also a brief discussion about how to use the CAS to solve these wonderful equations.
Have you woken up recently wondering how to solve simultaneous equations with more than two variables? I know I haven't! This video, however, is my take on how to solve these pesky equations. I show you how to use your CAS to solve them in the simplest way before moving on to showing you how to do it using pencil and paper. The last section of this video looks at the idea of parameters and how to use them to find solutions where planes meet in a straight line.
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These are the videos which are available in each chapter. You will notice that some are free and some are for subscribers only. Making and hosting these videos costs a little bit of money. To help pay for the hosting fees I have no choice but to hide some of the videos and make them for subscribers only.