Further Maths Notes
This content is relevant to the study design ending in 2015. It will be updated in the coming weeks to reflect the new study design, but in the meantime there’s still plenty of relevant content, so have a look around!
Data Analysis
- Types of Data
- Samples
- The Mode
- The Median
- The Mean
- Five Number Summary
- Standard Deviation
- Quartiles and the Interquartile Range
- Populations
- Bar Charts
- Stem Plots
- Box Plots
- Describing the shape of graphical data
- Histograms
- The Normal Distribution
- Frequency Tables
- The Range
- Dot plots
- Outliers
- Dependent and independent variables
- Scatterplots
- Correlation and Causation
- Coefficient of determination
- Standard scores and z-scores
- Extrapolation and interpolation
- Least squares regression line
- Three median regression line
- Residuals
- Time series
- Data transformations
- Seasonal indices
- Smoothing a time series plot
Number Patterns
- Recognition of Arithmetic Sequences
- Finding the Terms of an Arithmetic Sequence
- The Sum of a Finite Arithmetic Sequence
- Recognition of Geometric Sequences
- Finding the Terms of a Geometric Sequence
- The Sum of a Finite Geometric Sequence
- Applications of Geometric Sequences
- Finding the Sum of an Infinite Geometric Sequence
- First Order Difference Equations
- Generating the Terms of a Sequence Defined by a First Order Difference Equation
- The Relationship Between Arithmetic Sequences and First Order Difference Equations
- The Relationship Between Geometric Sequences and First Order Difference Equations
- Practical Situations Represented by First Order Difference Equations
- Fibonacci Sequences as Second Order Difference Equations
Geometry and Trigonometry
- Pythagorean Theorem and Similarity
- Right Angled Triangles
- Area of a Triangle
- Surface area and volume of regular composite solids
- The scale factor
- Bearings
- Angles of elevation and depression
- Contour maps
- The sine rule
- The cosine rule
Graphs and Relations
- Gradients
- Equation for a straight line
- Linear models
- Linear segment graphs
- Step graphs
- Non linear graphs in the form y = kx^n
- Inequalities
- Feasible regions and objective functions
Business-Related Mathematics
- Simple Interest
- Compound Interest
- Reducing Balance Loans
- Hire Purchase Agreement
- Reducing Balance and Flat Rate Loan Comparisons
- Effective Interest Rate
- Annuity Investments
- Perpetuities
- Bank Accounts
- Discounts
- Goods and Services Tax
- Capital Gain
- Straight Line Depreciation
- Reducing Balance Depreciation
- Unit Cost Depreciation
- Inflation
Networks and decision mathematics
- Key Terms
- Types of Graphs
- Undirected Graphs
- Complete Graph
- Circuits and Sub-Graphs
- Adjacency Matrix
- Planer Graphs and Euler's Formula
- Euler and Hamilton Paths/Circuits
- Minimum Spanning Tree
- Reachability and Dominance
- Critical Paths
- Maximum Flow
- Bipartite Graphs and Hungarian Algorithm
Matrices
More Resources
VCAA Pages
Useful Sites
Revision Resources
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