Edrolo VCE General Mathematics Units 3 & 4

✍ Scribed by Robert Borg, Duyen Duong, James Boyce, Zephyr Howson, Sophie Watt, Clinton Bouphasavanh, Joshua Clements, Victoria Flynn, Nina Miriyagalla, Angus Plowman, Talia Scott-Hayward, Justin Tan, Ying Qin, Patrick Robertson

• Publisher: Edrolo
• Year: 2023
• Tongue: English
• Leaves: 753
• Edition: 2023
• Category: Library

✦ Synopsis

For VCE General Mathematics Study Design (2023-2027)

✦ Table of Contents

CONTENTS
AOS 1
Chapter 1 - Investigating data distributions
1A Types of data
1B Displaying and describing categorical data
1C Displaying numerical data
1D Log scales and graphs
1E The five-number summary and boxplots
1F Describing numerical data
1G Introduction to standard deviation
1H The normal distribution
1I z-scores
Chapter 2 - Investigating associations between two variables
2A Associations between two categorical variables
2B Associations between numerical and categorical variables
2C Associations between two numerical variables
2D Correlation and causation
Chapter 3 - Investigating and modelling linear associations
3A Fitting a least squares regression line
3B Interpreting a least squares regression line
3C Performing a regression analysis
3D Data transformations
3E Data transformations – applications
Chapter 4 - Investigating and modelling time series data
4A Time series data andtheir graphs
4B Smoothing – moving means
4C Smoothing – moving medians
4D Seasonal adjustments
4E Time series data and least squares regression modelling
AOS 2
Chapter 5 - Recurrence relations and basic financial applications
5A Recurrence relations and their graphs
5B Flat rate and unit cost depreciation – recurrence relations
5C Reducing balance depreciation – recurrence relations
5D Depreciation – finding the rule for the nth term
5E Simple interest
5F Compound interest
5G Nominal and effective interest rates
Chapter 6 - Advanced financial mathematics
6A Introducing financial applications
6B Reducing balance loans
6C Interest-only loans
6D Amortising annuities
6E Perpetuities
6F Annuity investments
AOS 2
Chapter 7 - Matrices
7A Introduction to matrices
7B Operations with matrices
7C Advanced operations with matrices
7D Inverse matrices
7E Binary and permutation matrices
7F Communication and dominance matrices
7G Introduction to transition matrices
7H The equilibrium state matrix
7I Applications of transition matrices
AOS 2
Chapter 8 - Networks and decision mathematics
8A Introduction to graphs and networks
8B Graphs, networks and matrices
8C Exploring and travelling problems
8D Minimum connector problems
8E Flow problems
8F Shortest path problems
8G Matching problems
8H Activity networks and precedence tables
8I Critical path analysis
8J Crashing
ANSWERS
Chapter 1 answers
Chapter 2 answers
Chapter 3 answers
Chapter 4 answers
Chapter 5 answers
Chapter 6 answers
Chapter 7 answers
Chapter 8 answers
GLOSSARY