Engineering Mathematics

Preface Section 1: Number and Algebra 1. Revision of fractions, decimals and percentages 2. Indices, standard form and engineering notation 3. Binary, octal and hexadecimal numbers 4. Calculations and evaluation of formulae Revision Test 1 5. Algebra 6. Further algebra 7. Partial fractions 8. Solving simple equations Revision Test 2 9. Transposition of formulae 10. Solving simultaneous equations 11. Solving quadratic equations 12. Inequalities 13. Logarithms Revision Test 3 14. Exponential functions 15. Number sequences 16. The binomial series 17. Solving equations by iterative methods Revision Test 4 Section 2: Areas and volumes 18. Areas of common shapes 19. The circle and its properties 20. Volumes and surface areas of common solids 21. Irregular areas and volumes and mean values of waveforms Revision Test 5 Section 3: Trigonometry 22. Introduction to trigonometry 23. Trigonometric waveforms 24. Cartesian and polar co-ordinates Revision Test 6 25. Triangles and some practical applications 26. Trigonometric identities and equations 27. Compound angles Revision Test 7 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 Revision Test 8 Section 5: Complex numbers 33. Complex numbers 34. De Moivre's theorem Section 6: Vectors 35. Vectors 36. Methods of adding alternating waveforms Revision Test 9 Section 7: Statistics 37. Presentation of statistical data 38. Mean, median, mode and standard deviation 39. Probability Revision Test 10 40. The binomial and Poisson distribution 41. The normal distribution Revision Test 11 42. Linear correlation 43. Linear regression 44. Sampling and estimation theories Revision Test 12 Section 8: Differential Calculus 45. Introduction to differentiation 46. Methods of differentiation 47. Some applications of differentiation 48. Maclaurin's series Revision Test 13 49. Differentiation of parametric equations 50. Differentiation of implicit functions 51. Logarithmic differentiation Revision Test 14 Section 9: Integral calculus 52. Standard integration 53. Integration using algebraic substitutions 54. Integration using trigonometric substitutions Revision Test 15 55. Integration using partial fractions 56. The t = tan /2 substitution 57. Integration by parts 58. Numerical integration Revision Test 16 59. Areas under and between curves 60. Mean and root mean square values 61. Volumes and solids of revolution 62. Centroids of simple shapes 63. Second moments of area Revision Test 17 Section 10: Differential equations 64. Introduction to differential equations Revision Test 18 Section 11: Further Number and algebra 65. Boolean algebra and logic circuits 66. The theory of matrices and determinants 67. The solution of simultaneous equations by matrices and determinants Revision Test 19 List of essential formulae Answers to Practice Questions Answers to multiple choice questions Index

9781138673595

8