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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.
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|Section 1: Trigonometry|
Trigonometry introduction. Notes available to download below.
This lecture is to review basic trigonometry functions.
The Sine Rule
This lecture shows how the Sine Rule is used.
This lecture shows how the Cosine Rule is derived.
Example using the Cosine Rule
This lecture shows how to determine which rule to use.
How to determine the area of a triangle when 2 side lengths and the angle between them is known.
This lecture gives an example measuring the area of a triangle.
Definition of the radian
A neat little flash program to show the comparison between measuring angles in degrees and radians.
It is available at http://faculty.kfupm.edu.sa/PYP/demir/degree%20radian.swf
Mensuration, including Arc length and Chord length
Areas of Sectors and Segments
|Section 2: Sequences and Series|
Introduction to sequences and series
Difference Equations and terminology
|Section 3: Vectors|
Introduction to vectors
This lecture describes how vectors are added
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
Vectors in 3 dimensionsPreview
Scalar product of vectors part 1
|Section 4: Complex Numbers|
Polar plotting examples
Polar graphing using CAS calculator
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.