Specialist Mathematics for VCE Units 1 and 2
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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.
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Section 1: Trigonometry  

Lecture 1  00:37  
Trigonometry introduction. Notes available to download below. 

Lecture 2  03:15  
This lecture is to review basic trigonometry functions. 

Lecture 3  02:48  
The Sine Rule 

Lecture 4  00:54  
This lecture shows how the Sine Rule is used. 

Lecture 5  02:58  
This lecture shows how the Cosine Rule is derived. 

Lecture 6  01:38  
Example using the Cosine Rule 

Lecture 7  00:56  
This lecture shows how to determine which rule to use. 

Lecture 8  02:35  
How to determine the area of a triangle when 2 side lengths and the angle between them is known. 

Lecture 9  01:46  
This lecture gives an example measuring the area of a triangle. 

Lecture 10 
Radians

03:28  
Lecture 11 
Definition of the radian

00:36  
Lecture 12  02:00  
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 

Lecture 13  06:32  
Mensuration, including Arc length and Chord length 

Lecture 14 
Areas of Sectors and Segments

02:57  
Lecture 15 
Mensuration example

03:44  
Section 2: Sequences and Series  
Lecture 16 
Introduction to sequences and series

00:42  
Lecture 17 
Difference Equations and terminology

03:53  
Lecture 18 
Arithmetic Sequences
Preview

03:15  
Lecture 19 
Arithmetic Series
Preview

07:12  
Lecture 20 
Geometric Sequences

06:03  
Lecture 21 
Geometric Series

04:21  
Lecture 22 
Infinite Series

03:45  
Section 3: Vectors  
Lecture 23 
Introduction to vectors

00:21  
Lecture 24 
Vector definitions

03:41  
Lecture 25  02:51  
This lecture describes how vectors are added 

Lecture 26 
Addition of vectors (part 2)

01:46  
Lecture 27 
Addition of vectors animation

00:49  
Lecture 28 
Vector addition definitions

02:05  
Lecture 29 
Working with vectors

02:52  
Lecture 30 
Components and Unit Vectors

02:36  
Lecture 31 
ij notation example

03:25  
Lecture 32 
Finding unit vectors

03:36  
Lecture 33 
Vectors in 3 dimensions
Preview

04:13  
Lecture 34 
Scalar product of vectors part 1

03:30  
Section 4: Complex Numbers  
Lecture 35 
Polar coordinates

05:35  
Lecture 36 
Polar plotting examples

01:32  
Lecture 37 
Polar graphing using CAS calculator

02:18 
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