**Description**

This text will provide a foundation in mathematical principles, which will enable students to solve mathematical, scientific and associated engineering principles. In addition, the material will provide engineering applications and mathematical principles necessary for advancement onto a range of Incorporated Engineer degree profiles. It is widely recognised that a students’ ability to use mathematics is a key element in determining subsequent success. First year undergraduates who need some remedial mathematics will also find this book meets their needs.

In Engineering Mathematics 5th Edition, new material is included on inequalities, differentiation of parametric equations, implicit and logarithmic functions and an introduction to differential equations. Because of restraints on extent, chapters on linear correlation, linear regression and sampling and estimation theories have been removed. However, these three chapters are available to all via the internet.

**Content:-**

Preface

**Section 1: Number and Algebra**

1. Revision of fractions, decimals and percentages

2. Indices, standard form and engineering notation

3. Computer numbering systems

4. Calculations and evaluation of formulae

5. Algebra

6. Further algebra

7. Partial fractions

8. Simple equations

9. Simultaneous equations

10. Transposition of formulae

11. Quadratic equations

12. Inequalities

13. Logarithms

14. Exponential functions

15. Number sequences

16. The binomial series

17. Solving equations by iterative methods

**Section 2: Mensuration**

18. Areas of plane figures

19. The circle and its properties

20. Volumes and surface areas of common solids

21. Irregular areas and volumes and mean values of waveforms

**Section 3: Trigonometry**

22. Introduction to trigonometry

23. Trigonometric waveforms

24. Cartesian and polar co-ordinates

25. Triangles and some practical applications

26. Trigonometric identities and equations

27. Compound angles

**Section 4: Graphs**

28. Straight line graphs

29. Reduction of non-linear laws to linear form

30. Graphs with logarithmic scales

31. Graphical solution of equations

32. Functions and their curves

**Section 5: Vectors**

33. Vectors

34. Combination of waveforms

**Section 6: Complex Numbers**

35. Complex numbers

36. De Moivre’s theorem

**Section 7: Statistics**

37. Presentation of statistical data

38. Measures of central tendency and dispersion

39. Probability

40. The binomial and Poisson distribution

41. The normal distribution

**Section 8: Differential Calculus**

42. Introduction to differentiation

43. Methods of differentiation

44. Some applications of differentiation

45. Differentiation of parametric equations

46. Differentiation of implicit functions

47. Logarithmic differentiation

**Section 9: Integral Calculus**

48. Standard integration

49. Integration using algebraic substitutions

50. Integration using trigonometric substitutions

51. Integration using partial fractions

52. The t =tan θ/2 substitution

53. Integration by parts

54. Numerical integration

55. Areas under and between curves

56. Mean and root mean square values

57. Volumes of solids of revolution

58. Centroids of simple shapes

59. Second moments of area

**Section 10: Further Number and Algebra**

60. Boolean algebra and logic circuits

61. The theory of matrices and determinants

62. The solution of simultaneous equations by matrices and determinants

**Section 11: Differential Equations**

63. Introduction to differential equations

Revision Test 18

Multiple choice questions on Chapters 42–63

Answers to multiple choice questions

Index

**Author Details**

**"John Bird"**BSc(Hons), CEng, CSci, CMath, FIET, MIEE, FIIE, FIMA, FCollT

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