# Business Analytics in Context

## An Introduction to Methodologies

#### Gareth Woods

#### ISBN: 9781911635147 Paperback; 9781911635154 E-book

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Providing you with the mathematical and statistical skills that you will need during your studies, Dr Gareth Woods uses his extensive experience of teaching students requiring additional support to understand key mathematical concepts, to deliver an engaging and accessible text structured around your learning journey from understanding basic concepts, such as algebra, through to applying more advanced techniques including differentiation and optimisation.

Confidence builder exercises throughout the book allow you to test your own understanding of the topics covered, and at the end of each chapter you will have the opportunity to apply what you have learnt to business scenarios that might be encountered in a professional work environment. The book is supported by online resources that allow you to build confidence in using the methodologies contained in the book, prepare for exams and, where needed, to seek further targeted support from your instructors in specific areas to help you progress.

The content is presented in a work-book style, and space has been provided in the book to allow you to make notes and work through the end of chapter questions. The book then becomes a reference for you as you progress through your studies, and on into professional life. Being able to show your workings to the support staff working in your university’s learning development centre, will help them to address your mathematics support needs quickly and efficiently. Beyond your studies, applicants for graduate positions are often expected to sit psychometric numerical reasoning tests, and having this book as a reference to prepare for and pass these tests would be invaluable in helping you secure that position.

In creating this learning resource, careful consideration has been given to how the online resources integrate with the book to ensure a structured approach to navigating through the content, allowing you to build your confidence in applying the mathematical techniques shown. The learning pathway has been developed so that there are no dead-ends if you find yourself struggling to grasp a particular concept or technique. Mathematics can be a daunting subject for many, and so particular attention has been given to directing you back to content that you may need to engage with again and understand in order to progress further.

Publication date: August 2020

Confidence builder exercises throughout the book allow you to test your own understanding of the topics covered, and at the end of each chapter you will have the opportunity to apply what you have learnt to business scenarios that might be encountered in a professional work environment. The book is supported by online resources that allow you to build confidence in using the methodologies contained in the book, prepare for exams and, where needed, to seek further targeted support from your instructors in specific areas to help you progress.

The content is presented in a work-book style, and space has been provided in the book to allow you to make notes and work through the end of chapter questions. The book then becomes a reference for you as you progress through your studies, and on into professional life. Being able to show your workings to the support staff working in your university’s learning development centre, will help them to address your mathematics support needs quickly and efficiently. Beyond your studies, applicants for graduate positions are often expected to sit psychometric numerical reasoning tests, and having this book as a reference to prepare for and pass these tests would be invaluable in helping you secure that position.

In creating this learning resource, careful consideration has been given to how the online resources integrate with the book to ensure a structured approach to navigating through the content, allowing you to build your confidence in applying the mathematical techniques shown. The learning pathway has been developed so that there are no dead-ends if you find yourself struggling to grasp a particular concept or technique. Mathematics can be a daunting subject for many, and so particular attention has been given to directing you back to content that you may need to engage with again and understand in order to progress further.

Publication date: August 2020

### Table of contents

**Ch 1 Numeracy**

1.1 Basic Operations and Order of Operations

1.3 Factors and Multiple

1.4 Fractions

1.5 Powers and Indices

1.6 Standard Form

1.7 Ratios

1.8 Percentages

Solutions

**Ch 2 Algebra**

2.1 Substitution

2.2 Algebraic Equations

2.3 Inequalities

2.4 Expanding Brackets

2.5 Factorisation

2.6 Coordinate Geometry

2.7 Simultaneous Equations

2.8 Optimisation using Linear Programming

2.9 Quadratic Equations

2.10 Pythagoras’ Theorem

2.11 Trigonometry

2.12 Logarithms

2.13 Sequences and Series

Solutions

**Ch 3 Probability**

3.1 Introduction to Probability

3.2 Conditional Probability and Bayes Theorem

3.3 Probability Distributions

3.4 Decision Analysis

Solutions

**Ch 4 Statistics**

4.1 Representing Data

4.2 Sampling Methods

4.3 Measures of Location

4.4 Measures of Spread

4.5 Correlation

4.6 Linear Regression

4.7 Multiple Regression

4.8 Forecasting

4.9 Confidence Intervals

4.10 Hypothesis Testing

4.11 Type I and II Errors

Solutions

**Ch 5 Calculus**

5.1 Introduction to Differentiation

5.2 Differentiating Various Functions

5.3 Stationary Points

5.4 Optimisation Using Calculus

Solutions

### Table of contents

**Ch 1 Numeracy**

1.1 Basic Operations and Order of Operations

1.3 Factors and Multiple

1.4 Fractions

1.5 Powers and Indices

1.6 Standard Form

1.7 Ratios

1.8 Percentages

Solutions

**Ch 2 Algebra**

2.1 Substitution

2.2 Algebraic Equations

2.3 Inequalities

2.4 Expanding Brackets

2.5 Factorisation

2.6 Coordinate Geometry

2.7 Simultaneous Equations

2.8 Optimisation using Linear Programming

2.9 Quadratic Equations

2.10 Pythagoras’ Theorem

2.11 Trigonometry

2.12 Logarithms

2.13 Sequences and Series

Solutions

**Ch 3 Probability**

3.1 Introduction to Probability

3.2 Conditional Probability and Bayes Theorem

3.3 Probability Distributions

3.4 Decision Analysis

Solutions

**Ch 4 Statistics**

4.1 Representing Data

4.2 Sampling Methods

4.3 Measures of Location

4.4 Measures of Spread

4.5 Correlation

4.6 Linear Regression

4.7 Multiple Regression

4.8 Forecasting

4.9 Confidence Intervals

4.10 Hypothesis Testing

4.11 Type I and II Errors

Solutions

**Ch 5 Calculus**

5.1 Introduction to Differentiation

5.2 Differentiating Various Functions

5.3 Stationary Points

5.4 Optimisation Using Calculus

Solutions

### About the authors

Gareth Woods is Mathematics Teaching Fellow at Aston University, UK### Table of contents

**Ch 1 Numeracy**

1.1 Basic Operations and Order of Operations

1.3 Factors and Multiple

1.4 Fractions

1.5 Powers and Indices

1.6 Standard Form

1.7 Ratios

1.8 Percentages

Solutions

**Ch 2 Algebra**

2.1 Substitution

2.2 Algebraic Equations

2.3 Inequalities

2.4 Expanding Brackets

2.5 Factorisation

2.6 Coordinate Geometry

2.7 Simultaneous Equations

2.8 Optimisation using Linear Programming

2.9 Quadratic Equations

2.10 Pythagoras’ Theorem

2.11 Trigonometry

2.12 Logarithms

2.13 Sequences and Series

Solutions

**Ch 3 Probability**

3.1 Introduction to Probability

3.2 Conditional Probability and Bayes Theorem

3.3 Probability Distributions

3.4 Decision Analysis

Solutions

**Ch 4 Statistics**

4.1 Representing Data

4.2 Sampling Methods

4.3 Measures of Location

4.4 Measures of Spread

4.5 Correlation

4.6 Linear Regression

4.7 Multiple Regression

4.8 Forecasting

4.9 Confidence Intervals

4.10 Hypothesis Testing

4.11 Type I and II Errors

Solutions

**Ch 5 Calculus**

5.1 Introduction to Differentiation

5.2 Differentiating Various Functions

5.3 Stationary Points

5.4 Optimisation Using Calculus

Solutions

### About the authors

Gareth Woods is Mathematics Teaching Fellow at Aston University, UK### Online resources

Forthcoming...This book will be fully supported by a range of online resources that will help students to develop their mathematical skills and build their confidence in being able to apply these skills to real world business situations.

Careful consideration has been given to how the online resources integrate with the book to ensure a structured approach to navigating through the content, allowing you to build your confidence in applying the mathematical techniques shown. The learning pathway has been developed so that there are no dead-ends if you find yourself struggling to grasp a particular concept or technique. Mathematics can be a daunting subject for many, and so particular attention has been given to directing you back to content that you may need to engage with again and understand in order to progress further.

Whether you are a student or a lecturer, if you have a suggestion on what you would like to see included in these resources then please send an email to sally.north@goodfellowpublishers.com