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Specialist Mathematics for VCE Units 1 and 2

Learn what is required to perform well in the year 11 Specialist Mathematics examinations.
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Created by Paul Fielding
Last updated 8/2015
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This course strictly follows the VCAA Study Design for Units 1 and 2, while preparing students for Units 3 and 4. The content follows the structure for Units 1 and 2 but will extend students in each topic in preparation for the rigors of Units 3 and 4.

The notes used during this course are provided in the first lecture of each topic. If you like to have notes in front of you to annotate, then these can be downloaded and printed prior to the lectures.

Content will generally be through notes explaining the content, but where appropriate, the (Casio) CAS calculator will be used and also other leading edge software such as the Desmos calculator and Wolfram Alpha.

You will need a reasonable understanding of Year 10 level Mathematics.

Questions are encouraged and will be answered through the discussion board.

It is important to note that the study design has some minor changes that will be implemented in 2016 and these changes are reflected in this course.

If you want to maximise your exam results in Specialist Mathematics, then this course is for you.

Who is the target audience?
  • This course is designed to meet the VCAA requirements for Specialist Mathematics Units 1 and 2. This course includes the changes published in March 2015 for implementation in 2016.
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What Will I Learn?
Gain confidence in material from Units 1 and 2 as a foundation to move to Units 3 and 4
Build a strong understanding of the VCE Specialist Mathematics course
View Curriculum
  • You should have a reasonable understanding of Mathematics at a year 10 level.
  • You should have an interest in Mathematics.
  • Be proficient with the use of your CAS calculator.
Curriculum For This Course
Expand All 37 Lectures Collapse All 37 Lectures 01:47:05
15 Lectures 36:44

Trigonometry introduction. Notes available to download below.

Preview 00:37

This lecture is to review basic trigonometry functions.

Trigonometry recap

The Sine Rule

Sine Rule

This lecture shows how the Sine Rule is used.

Sine Rule example

This lecture shows how the Cosine Rule is derived.

Preview 02:58

Example using the Cosine Rule

Cosine Rule example

This lecture shows how to determine which rule to use.

When to use Sine and Cosine Rules

How to determine the area of a triangle when 2 side lengths and the angle between them is known.

Area of a triangle

This lecture gives an example measuring the area of a triangle.

Area of a triangle example


Definition of the radian

A neat little flash program to show the comparison between measuring angles in degrees and radians.

It is available at

Radians and degrees

Mensuration, including Arc length and Chord length


Areas of Sectors and Segments

Mensuration example
Sequences and Series
7 Lectures 29:11
Introduction to sequences and series

Difference Equations and terminology

Geometric Sequences

Geometric Series

Infinite Series
12 Lectures 31:45
Introduction to vectors

Vector definitions

This lecture describes how vectors are added

Preview 02:51

Addition of vectors (part 2)

Addition of vectors animation

Vector addition definitions

Working with vectors

Components and Unit Vectors

i-j notation example

Finding unit vectors

Scalar product of vectors part 1
Complex Numbers
3 Lectures 09:25
Polar coordinates

Polar plotting examples

Polar graphing using CAS calculator
About the Instructor
4.3 Average rating
56 Reviews
4,801 Students
2 Courses

Currently teaching Physics, Mathematics and Science.

Love everything to do with these topics.

I have been teaching for ten years. Prior to this I was an Engineer at a factory manufacturing telecommunication grade optical fibre. Most of the data and voice traffic in Australia and New Zealand travels through fibre that we made.

My first Engineering job was in the electronic design of the head-up display used in the F-16.

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