AQA Advanced Maths: Mathematical Studies Level 3 Certificate
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Description
Contents
Reviews
Language
English
ISBN
9781382014847
Front Cover
Title Page
Contents
About this book
0 Mathematical studies
0.1 Mathematical modelling
0.2 Fermi estimation
1 Analysis of data
1.1 Data and sampling
1.2 A fair representation?
1.3 Measures of spread
1.4 Box and whisker plots
1.5 Cumulative frequency graphs
1.6 Histograms
1.7 Choosing methods
2 Personal finance
2.1 Budgeting
2.2 Income tax
2.3 Your payslip
2.4 Controlling debt
2.5 Annual percentage rate (APR)
2.6 Mortgages
2.7 Savings and investments
2.8 VAT and other percentages
2.9 Exchange rates
2.10 Inflation
3 Modelling and estimation
3.1 Modelling the Gulf Stream
3.2 Standard form
3.3 Estimation technique 1 – scaling
3.4 Estimation technique 2 – subdividing
3.5 Estimation technique 3 – stating assumptions
3.6 Useful facts and formulae
3.7 Lessons from history
4 Critical analysis
4.1 What is critical analysis?
4.2 Clarity
4.3 Selectivity of data
4.4 Sampling and trialling
4.5 Misleading with data
4.6 Coincidence?
4.7 Critical analysis of models
5 The normal distribution
5.1 Features of a normal distribution
5.2 The standard normal distribution
5.3 Calculating probabilities
6 Confidence intervals
6.1 Quality control
6.2 The sample mean
6.3 Confidence intervals
7 Correlation and regression
7.1 Lines of best fit
7.2 Regression lines
7.3 Pearson’s product moment correlation coefficient
8 Critical path analysis
8.1 Networks and algorithms
8.2 Activity networks
8.3 Early times and late times
8.4 Critical activities
8.5 Gantt charts (cascade diagrams)
9 Expectation
9.1 Venn diagrams
9.2 Equally likely events
9.3 The birth of probability theory
9.4 Probability
9.5 Tree diagrams
9.5 Conditional probability
9.7 Expected value
10 Cost-benefit analysis
10.1 Cost–benefit principle
10.2 Control measures and uncertainty
10.3 Insurance myths
11 Graphical methods
11.1 Graphs tell a story
11.2 Linear graphs
11.3 Graph sketching
11.4 Solving equations graphically
12 Rates of change
12.1 Straight lines revisited
12.2 Zooming in
12.3 Gradients of curves
12.4 Optimisation
12.5 Speed
12.6 Acceleration
13 Exponential functions
13.1 Exponential growth
13.2 Exponential functions
13.3 e, the base of choice
13.4 The exponential function, ex
13.5 The need for an inverse function
13.6 Solving ax = b
Practice questions
Answers
Statistical tables and formulae sheet
Index
Back Cover
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