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Book Description

This book is carefully designed to be used on a wide range of introductory courses at first degree and HND level in the U.K., with content matched to a variety of first year degree modules from IEng and other BSc Engineering and Technology courses. Lecturers will find the breadth of material covered gears the book towards a flexible style of use, which can be tailored to their syllabus, and used along side the other IIE Core Textbooks to bring first year students up to speed on the mathematics they require for their engineering degree.

Table of Contents

  1. Cover image
  2. Title page
  3. Table of Contents
  4. Copyright
  5. Series Preface
  6. Introduction: why mathematics?
  7. Chapter 1: Functions
    1. 1.1 Introduction to functions
    2. 1.2 Linear functions
    3. 1.3 Quadratic functions
    4. 1.4 Inverse functions
    5. 1.5 Circular functions
    6. Problems 1.5
    7. 1.6 Exponential functions
    8. 1.7 Log functions
    9. Problems 1.7
    10. 1.8 Hyperbolic functions
    11. Problems 1.8
  8. Chapter 2: Vectors, phasors and complex numbers
    1. 2.1 Vectors
    2. 2.2 Phasors
    3. 2.3 Complex numbers
    4. Problems 2.3
  9. Chapter 3: Mathematical models
    1. 3.1 Modelling
    2. 3.2 Relating models and data
  10. Chapter 4: Calculus
    1. 4.1 Differentiation
    2. Problems 4.1
    3. 4.2 Integration
    4. Problems 4.2
  11. Chapter 5: Differential equations
    1. 5.1 Differential equations
    2. 5.2 First-order differential equations
    3. 5.3 Second-order differential equations
  12. Chapter 6: Laplace transform
    1. 6.1 The Laplace transform
    2. 6.2 Solving differential equations
    3. 6.3 Transfer function
  13. Chapter 7: Sequences and series
    1. 7.1 Sequences and series
    2. 7.2 Fourier series
  14. Chapter 8: Logic gates
    1. 8.1 Logic gates
    2. 8.2 Boolean algebra
    3. 8.3 Logic gate systems
  15. Chapter 9: Probability and statistics
    1. 9.1 Probability
    2. 9.2 Distributions
    3. 9.3 Experimental errors
  16. Solutions to problems
  17. Index
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