Revision notes.

Try this with Mathematics Applications

1. Close your notes and write the main idea in two sentences from memory.
2. Reopen the source and correct the first mistake or omission you find.
3. Add one example and one question to test whether you can apply the idea.

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Topics in the resource inventory

• The statistical investigation process and describing association in percentaged two-way tables
• Scatterplots, direction-form-strength, the correlation coefficient r and the coefficient of determination
• Fitting and interpreting the least-squares line, residual plots, interpolation and extrapolation
• Association versus causation: coincidence, confounding and common response
• Arithmetic sequences: recursion, nth-term rules and linear growth and decay
• Geometric sequences: recursion, nth-term rules and exponential growth and decay
• First-order linear recurrence relations, long-term behaviour and steady state
• Graphs, digraphs and networks: terminology, adjacency matrices and multi-stage matrices
• Planar graphs, faces and Euler's formula v + f − e = 2
• Walks, trails, paths, cycles, shortest paths, Eulerian and Hamiltonian graphs
• Time series plots: trend, seasonality, irregular fluctuations and outliers
• Smoothing a time series with simple moving averages
• Seasonal indices by the average percentage method, deseasonalising and predicting from the trend line
• Compound interest loans and investments: recurrence relations and the effective annual rate
• Solving compound interest and depreciation problems with the finance solver
• Reducing balance loans: recurrence models, repayments and time to repay
• Annuities and perpetuities: recurrence models and finance-solver problems
• Trees, spanning trees, Prim's algorithm and minimum connector problems
• Project networks, forward and backward scanning, critical paths and float
• Maximum flow-minimum cut and assignment problems with the Hungarian algorithm