# Specialist Mathematics Units 3 and 4

## Overview

In Specialist Mathematics Units 3 and 4, you will learn about vectors, complex numbers, reciprocal and inverse graphs, and lots of calculus such as kinematics, dynamics, study of motion and modelling forces. Towards the end of Unit 4, you will learn about random sampling, the central limit theorem and hypothesis testing.

## Who is it for?

Specialist Mathematics Units 3 and 4 is designed for you if you enjoy the intellectual challenge of more advanced mathematics. It complements the material covered in previous years and in Mathematical Methods Units 3

and 4.

These units are ideal if you wish to study mathematics and/or engineering at a tertiary level.

## What do you do?

Initially you will immerse yourself in the world of vectors, circular functions and complex numbers. The major part of the remaining weeks will give you the opportunity to explore higher order algebra and calculus, as well as some advance probability theory.

## What skills do you need?

To be successful in Specialist Mathematics Units 3 and 4, you need good mathematical skills and a desire to learn new concepts. You need to have successfully completed Mathematical Methods Units 1 and 2 and preferably Specialist Mathematics Units 1 and 2. You should have completed or be concurrently enrolled in Mathematical Methods Units 3 and 4.

## What skills do you develop?

You will develop skills in applying the mathematical skills you have learned over the years to solve real-world problems involving motion, forces and rates of change.

## Requirements

The following textbook is required: Cambridge Senior Specialist Mathematics VCE Units 3 & 4 (2016 edition).

You will need access to a VCAA-approved CAS calculator or CAS software. The Cambridge textbook contains instructions for both TI-Nspire CAS and Casio ClassPad calculators; however, any of the VCAA-approved CAS technologies can be used. Note that the DECV notes for these units are written using parallel TI-Nspire CAS, Casio ClassPad and Mathematica technologies so it is recommended that you select one of these.

If you are not sure which technology to use or you have any questions, contact your teacher for advice.

## Things to think about

Specialist Mathematics is a demanding subject and doing via distance education makes it even more difficult. You will need to develop a weekly routine to ensure you spend sufficient time to understand the concepts and to complete the required work. Specialist Mathematics is very challenging, yet ultimately rewarding subject.

## Things you can do now

A good place to start is to view the material available on the Khan Academy website There is a wealth of material available from this site. We recommend that you initially concentrate on the vectors, circular functions and complex numbers topics

Go to the VCAA website for more information about this subject.