eBook
Exponential Models
The exponential function is set apart from other families of functions because of the fundamental impact of having the variable in the exponent. It stops being a multiplier and starts being more 'powerful'...
eBook
Quadratic Models
Quadratic functions are in the form ax2 + bx + c, and have fascinated mathematicians for centuries. They have some fundamental properties that will explored in this unit. Probably the best known example...
eBook
Linear models
Commonly seen in the form y = f(x) = mx + c where m represents the gradient/rate of change of the function and c is the y-intercept, where x = 0. These models are a fundamental bit of algebra that come...
eBook
Key Features of Functions And Graphing
Now that we know something about the basics of functions, this section aims to help deepen your understanding of them and enable you to identify key features such as vertex points, intercepts with axes...
eBook
Introducing Functions
Functions are extraordinary algebraic and visual tools which allow us to understand and analyse relationships. In this section you will learn exactly what a function is and how to find a function's inverse,...
eBook
Accuracy and Estimation
Accuracy and Estimation When numbers are reported in the news, or as statistical results, they are either displayed exactly, or they are rounded to a certain degree of accuracy. Understanding how and...
eBook
Exponents and Logarithms
Exponents The exponents of a number tell us how many times the number has been multiplied. Understanding these well, and being able to apply the laws of exponents will help us when sketching graphs, using...
eBook
Compound Interest, Loans and Annuities
This chapter explores the financial application of geometric sequences in the form of compound interest calculations. It then goes on to look at loans and annuities where payments at regular intervals...
Start here
Which mathematics course should I take?
This page is designed for students and parents who are about to start or have just started the diploma program want to find out about the choices and the courses in detail so they can make an informed...
eBook
Geometric Sequences and Series
These are sequences where you go from term to term by multiplying by a common ratio. The one in the title has a common ratio of 3 because each term is 3 times bigger than the previous one. Geometric sequences...