Table of Contents

Part A: The foundations

Ch 1 Quantitative Methods and what this book is all about
1.1 What is Quantitative Methods?
1.2 How to use this book
1.3 Using of calculators, computers and spreadsheets
1.4 Chapter review

Ch 2 Quantities and Elementary Arithmetic
2.1 Number systems
2.2 Truncating, rounding and precision
2.3 Arithmetic operations and notation
2.4 Powers, roots and logarithms
2.5 Operator precedence
2.6 Fractions, ratios and percentages
2.7 Units of measurement
2.8 Chapter review

Ch 3 Computing, Notational Systems and Algebra
3.1 Algorithms, Variables and Algebra
3.2 Simultaneous and systems of equations
3.3 Scalars, Vectors, Matrices and Arrays
3.4 Subscripted Variables and Sigma Notation
3.5 Chapter review

Ch 4 Matrix algebra
4.1 Matrix addition and subtraction
4.2 Matrix multiplication
4.3 Special matrices
4.4 Using matrices to solve systems of equations
4.5 Finding the inverse and the determinant of a matrix
4.6 Chapter review

Ch5 Sets and counting
5.1 Set Notation, Set Properties and Venn Diagrams
5.2 Counting, factorials, permutations and combinations
5.3 Pascal’s triangle and binomial coefficients
5.4 Chapter review

Ch6 Elementary statistics
6.1 The meaning and nature of Statistics
6.2 Sampling and data collection
6.3 Presenting and describing small data sets
6.4 Presenting and describing large data sets
6.5 Measures of location
6.6 Measures of variation
6.7 Index numbers
6.8 Chapter review

Part A Closing comments

Mini cases: Tops ‘n’ Bottoms, CompRus Ltd, JoowelsStore

Part B: Models and Analysis for Business and Management

Ch 7 Probability and Statistical Models
7.1 Probability
7.2 The Binomial distribution
7.3 The Poisson distribution
7.4 The Exponential distribution
7.5 The Normal distribution
7.6 Chapter review

Ch 8 Introduction to inferential statistics
8.1 Estimating and Confidence intervals
8.2 An introduction to Hypothesis testing
8.3 Non-parametric tests
8.4 Chapter review

Ch 9 Modelling simple relationships
9.1 Relationships, functions and equations
9.2 Linear functions
9.3 Least-squares linear regression
9.4 Appropriateness and correlation
9.5 Chapter review

Ch 10 Non-linear and multivariate functions
10.1 Quadratic functions
10.2 Polynomial functions
10.3 Hyperbolic functions
10.4 Exponential functions
10.5 Multivariate functions
10.6 Chapter review

Ch11 Analysing models
11.1 Graphical and numerical analysis
11.2 Marginal analysis and differentiation
11.3 Elasticity
11.4 Optimisation
11.5 Integration
11.6 Partial differentiation and applications
11.7 Chapter review
 
Ch12 Time series analysis
12.1 Classical time series analysis
12.2 Methods for Classical time series analysis and forecasting
12.3 Exponential smoothing
12.4 Chapter review

Ch 13 Models for Finance and Accounting
13.1 Simple interest and compound growth
13.2 Multiple compounding, APR and continuous compounding
13.3 Discounting and other related applications of compound growth
13.4 Savings, Endowments and Sinking Funds.
13.5 Loans, Mortgages and Annuities
13.6 Chapter review

Part B Closing comments

Mini cases: NHTBeds, Firmecon, Mr and Mrs Lean

Part C: Modelling and Analysing Decisions

Ch14 An introduction to decision analysis
14.1 Decisions under certainty, uncertainty and risk
14.2 Decisions under uncertainty
14.3 Decisions under risk
14.4 Chapter review

Ch15 Decisions in finance
15.1 Discounted Cash Flow and Net Present Value
15.2 Internal Rate of Return
15.3 Payback Period
15.4 Chapter review

Ch 16 An Introduction to Mathematical Programming
16.1 An introduction to Linear Programming
16.2 Solving Linear Programs graphically
16.3 An introduction to the Simplex Method
16.4 An introduction to non-linear programming
16.5 Chapter review

Part C: Closing Comments

Mini cases: Makit Ltd, Pandbe Co., PrintRus

Further Reading

Tables
Index