# Online Courses

## VCE Specialist Mathematics Units 1 and 2 – Algebra and Structure

1.1 Whole Numbers1.2 Number Skills1.3 Number Sequences1.4 Arithmetic Sequences and Series1.5 Geometic Sequences and Series1.6 Principal of Mathematical Induction1.7 Complex…

## VCE Specialist Mathematics Units 1 and 2 – Arithmetic and Number

2.1 Set Theory2.2 Venn Diagrams2.3 Counting Techniques2.4 Descriptive Statistics

## VCE Specialist Mathematics Units 1 and 2 – Discrete Mathematics

3.1 Graph Theory

## VCE Specialist Mathematics Units 1 and 2 – Geometry, Measurement and Trigonometry

4.1 Geometry4.2 Circle Geometry4.3 Similarity4.4 Logic4.5 Pythagoras Theorem4.6 Trigonometry4.7 Non-Right Angled Triangles4.8 Vectors

## VCE Specialist Mathematics Units 1 and 2 – Graphs of Linear and Non-Linear Relations

5.1 Motions in Straight Lines5.2 Graphs5.3 Applications of Differentiation

## VCE Specialist Mathematics Units 1 and 2 – Statistics

6.1 Descriptive Statistics6.2 Simulation6.3 Representing Data6.4 Exploring Data

Specialist Mathematics Units 1 and 2 provide a course of study for students who wish to undertake an in-depth study of mathematics, emphasising concepts, skills and processes related to mathematical structure, modelling, problem-solving and reasoning. This study focuses on interest in the discipline of mathematics in its own right and investigation of a broad range of applications, as well as the development of a sound background for further studies in mathematics and mathematics-related fields.

Mathematical Methods Units 1 and 2 and Specialist Mathematics Units 1 and 2, taken in conjunction, provide comprehensive preparation for Specialist Mathematics Units 3 and 4. The areas of study for Units 1 and 2 of Specialist Mathematics are ‘Algebra and structure’, ‘Arithmetic and number’, ‘Discrete mathematics’, ‘Geometry, measurement and trigonometry’, ‘Graphs of linear and non-linear relations’ and ‘Statistics’.

For Units 1 and 2, to suit the range of students entering the study and cover the four prescribed topics, content must be selected from the six areas of study using the following rules:

- For each unit, content covers four or more topics in their entirety, selected from at least three different areas of study
- Each unit must include two of the prescribed topics: Number systems and recursion; Vectors in the plane; Geometry in the plane and proof; and Graphs of non-linear relations
- Other topics can be selected from those included in the areas of study for Specialist Mathematics Units 1 and 2 and/or General Mathematics Units 1 and 2
- Courses intended as preparation for study at the Units 3 and 4 levels should include a selection of content from areas of study that provide a suitable background for these studies
- Content from an area of study provides a clear progression in knowledge and skills from Unit 1 to Uni

In undertaking these units, students are expected to be able to apply techniques, routines and processes involving rational, real and complex arithmetic, sets, lists and tables, diagrams and geometric constructions, algebraic manipulation, equations and graphs with and without technology. They should have a facility with relevant mental and by-hand approaches to estimation and computation. Using numerical, graphical, geometric, symbolic and statistical functionality of technology for teaching and learning mathematics, for working mathematically, and in related assessment is to be incorporated throughout each unit as applicable.

*source – VCE Mathematics Study Design*

- VCE Specialist Mathematics Units 1 and 2 – All TopicsUS$3.20 / month