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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Instructed by Paul Fielding Test Prep / Other
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  • Lectures 37
  • Contents Video: 2 hours
  • Skill Level All Levels
  • Languages English
  • Includes Lifetime access
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About This Course

Published 4/2015 English

Course Description

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.

What are the requirements?

  • 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.

What am I going to get from this course?

  • 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

What 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.

What you get with this course?

Not for you? No problem.
30 day money back guarantee.

Forever yours.
Lifetime access.

Learn on the go.
Desktop, iOS and Android.

Get rewarded.
Certificate of completion.

Curriculum

Section 1: Trigonometry
00:37

Trigonometry introduction. Notes available to download below.

03:15

This lecture is to review basic trigonometry functions.

02:48

The Sine Rule

00:54

This lecture shows how the Sine Rule is used.

02:58

This lecture shows how the Cosine Rule is derived.

01:38

Example using the Cosine Rule

00:56

This lecture shows how to determine which rule to use.

02:35

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

01:46

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

Radians
03:28
Definition of the radian
00:36
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

06:32

Mensuration, including Arc length and Chord length

Areas of Sectors and Segments
02:57
Mensuration example
03:44
Section 2: Sequences and Series
Introduction to sequences and series
00:42
Difference Equations and terminology
03:53
Arithmetic Sequences
Preview
03:15
Arithmetic Series
Preview
07:12
Geometric Sequences
06:03
Geometric Series
04:21
Infinite Series
03:45
Section 3: Vectors
Introduction to vectors
00:21
Vector definitions
03:41
02:51

This lecture describes how vectors are added

Addition of vectors (part 2)
01:46
Addition of vectors animation
00:49
Vector addition definitions
02:05
Working with vectors
02:52
Components and Unit Vectors
02:36
i-j notation example
03:25
Finding unit vectors
03:36
Vectors in 3 dimensions
Preview
04:13
Scalar product of vectors part 1
03:30
Section 4: Complex Numbers
Polar coordinates
05:35
Polar plotting examples
01:32
Polar graphing using CAS calculator
02:18

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Instructor Biography

Paul Fielding, Teacher

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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