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Further Maths U3 & 4 Master Notes

Data Distributions

1.1 Overview of Data Types

1.2 Displaying Distributions of Categorical Data

1.3 Statistical Analysis of Categorical Distributions

1.4 Displaying Numerical Data

1.5 Basic Statistical Concepts

1.6 Describing Numerical Distributions

1.7 Box Plots and the Five Number Summary

1.8 Statistical Analysis of Numerical Distributions

1.9 The Normal Distribution

1.10 Further Statistical Concepts

Associations between Two Variables

2.1 Response and Explanatory Variables

2.2 Relationships between two Categorical Variables

2.3 Relationships between Numerical and Categorical Variables

2.4 Scatterplots and Association between Numerical Variables

2.5 Relationships between two Numerical Variables

2.6 Pearson’s Correlation Coefficient

2.7 Cause and Effect

2.8 Non-Causal Relationships

Linear Associations and Modelling

Time Series Data and Modelling

4.1 Introduction to Time Series Plots [Free] 

Depreciation of Assets [24Hrs Free]

1.1 Recurrence Relations and Sequences

1.2 Forms of Depreciation

1.3 Predicting Future Values for Depreciation Systems

Compound Interest Investment and Loans

Reducing Balance Loans 

3.1 Modelling Reducing Balance Systems with Regular Repayments

3.2 Modelling Reducing Balance Systems with Regular Repayments using Tables

3.3 Modelling Reducing Balance Systems with Regular Repayments using Technology

Annuities and Perpetuities

OA1 – Matrices

OA2 – Networks and Decision Mathematics

Flow Problems

4.1 Introduction to Flow Problems

4.2 Methods for Solving Flow Problems [Free] 

Shortest Path Problems 

5.1 Shortest Path by Inspection

5.2 Introduction to Dijkstra’s Algorithm

OA3 – Geometry and Measurement

OA4 – Graphs and Relations