Topics
This video takes a look at all the language which is needed to be able to cover the rest of the Methods 1 and 2 course. It looks at terms such as set, union, intersection, contained within, in, mutually exclusive and much more. It looks at the ways we can classify numbers including real numbers, rational numbers, integers, and natural numbers. It looks at how we can use interval notation and how we can use this to describe sets of numbers. There is a lot of language, but watching this video will help you succeed in Methods 1 and 2.
This video continues the Head Start/ECP series where I spend time introducing the work which will be needed for the rest of the course. Whilst the videos seem to be intensive with language, if you can take the time to understand this then you will have the course under your belt! I look at the difference between a relation and function. We look at how to use the vertical line test and the horizontal line test to test for a function and a one-to-one function. I look at function notation which is really important and ... somehow manage to relate Maths to The Bachelorette! So much fun to be had in one video!
This video is the answer to everything relating to types of functions and implied domains. I loved recording this video as it gave me a chance to include Pennywise the Clown in it! How? Well ... watch and see. I start by recapping a previous video before moving onto the many different types of functions there are. One-to-one functions, many-to-one functions, piecewise functions, odd functions, even functions ... the list seems never to end. Oh. Hold on. I've reached the end. I look at examples of each and some of the GOTCHAs which might trip people up in exams before moving onto function notation and how to ensure you get all the marks owed to you in an exam. So much fun in one video!
So, you're interested in finding out about Sums and Products of functions? Well, you've come to the very best explanation! Previous videos have looked at the difference between a relation and a function. This takes the learning to a whole new level where we look at what it means to add, subtract and multiply various functions together. A range of examples are looked at and the key learning from the lesson was: "Make sure you know that the domain of the combined function is only defined where the original functions overlap! So much fun!
Composite functions are actually like cows and party pies. How? Well, watch the video and find out! Taking the output of one function and putting it into another one has never seemed so easy. This video takes the time and two awesome examples to explain what it means to be a composite function and to know how to work out if they are defined or not. We look at the algebra behind composite functions and look at what it means to restrict the domain to ensure that a composite can be defined. So much fun in just one video.
Inverse functions are probably a lot easier than people think. This video is here to show you how easy they are. I look at what an inverse function is graphically and how we can take the inverse of relations using algebra. I look at what an inverse function is and how it can only take place if the function is a one-to-one function. There are examples of how to draw them and some of the algebra tricks which can be used to try and make something which is relatively simple, feel a lot more complicated.
So you've woken up and wondered what Power functions are! Well, this is the video to tell you all about it. Based on the VCE Mathematical Methods Units 3 and 4 course by Cambridge, it looks at the many graphs which are raised to a power. Examples include parabolas, cubics, quartics, square root graphs, cube root graphs, hyperbolas and truncii. Each part of the video takes some time to look at the important features of each of the graphs such that the rest of the work in Methods 3 and 4 is simpler. I've loved creating this video for you. I hope you enjoy watching it.
Select a topic
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.