AQA Advanced Maths: Mathematical Studies Level 3 Certificate
$35.63

AQA Advanced Maths: Mathematical Studies Level 3 Certificate

By June Haighton
US$ 35.63
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Book Description

In full colour and written specifically for the AQA Level 3 Certificate in Mathematical Studies, this book provides plenty of worked examples, practice questions and practice exam papers. Set in engaging contexts relevant to a wide range of other post-16 subjects, AQA Mathematical Studies is also supported by online teacher notes.

Table of Contents
  • 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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