# Online Courses

## VCE Further Mathematics Units 3 and 4 – Data Analysis

1.1 Descriptive Statistics1.2 Representing Data1.3 Exploring Data1.4 Logarithms1.5 Normal Distribution1.6 Time Series

## VCE Further Mathematics Units 3 and 4 – Recursion and Financial Mathematics

2.1 Recurrence Relations2.2 Interest Rates2.3 Borrowing Money2.4 Annuity

## VCE Further Mathematics Units 3 and 4 – Matrices

3.1 Matrices3.2 Transition Matrices3.3 Matrix Applications

## VCE Further Mathematics Units 3 and 4 – Network and Decision Mathematics

4.1 Understanding Networks4.2 Networks

## VCE Further Mathematics Units 3 and 4 – Geometry and Measurement

5.1 Surface Area5.2 Similarity5.3 Trigonometry5.4 Non-Right Angled Triangles5.5 Spherical Geometry

## VCE Further Mathematics Units 3 and 4 – Graphs and Relations

6.1 Straight Lines6.2 Simultaneous Equations6.3 Graphs6.4 Inequalities

Further Mathematics consists of two areas of study, a compulsory Core area of study to be completed in Unit 3 and an Applications area of study to be completed in Unit 4. The Core comprises ‘Data analysis’ and ‘Recursion and financial modelling’. The Applications comprise two modules to be completed in their entirety from a selection of four possible modules: ‘Matrices’, ‘Networks and decision mathematics’, ‘Geometry and measurement’ and ‘Graphs and relations’. ‘Data analysis’ comprises 40 per cent of the content to be covered, ‘Recursion and financial modelling’ comprises 20 per cent of the content to be covered, and each selected module comprises 20 per cent of the content to be covered. Assumed knowledge and skills for the Core are contained in the General Mathematics Units 1 and 2 topics: ‘Computation and practical arithmetic’, ‘Investigating and comparing data distributions’, ‘Investigating

relationships between two numerical variables’, ‘Linear graphs and modelling’, ‘Linear relations and equations’, and ‘Number patterns and recursion’. Each module contains related topics in General Mathematics Units 1 and 2.

In undertaking these units, students are expected to be able to apply techniques, routines and processes involving rational and real arithmetic, sets, lists and tables, diagrams and geometric constructions, algebraic manipulation, equations, and graphs. They should have a facility with relevant mental and by-hand approaches to estimation and computation. The use of numerical, graphical, geometric, symbolic, financial and statistical functionality of technology for teaching and learning mathematics, for working mathematically, and in related assessments is to be incorporated throughout each unit as applicable.

*source – VCE Mathematics Study Design*