Science and Mathematics for Engineering

Preface. SECTION I APPLIED MATHEMATICS. 1. Basic arithmetic. 2. Fractions, decimals and percentages. 3. Indices, units, prefixes and engineering notation. 4. Calculations and evaluation of formulae. 5. Basic algebra. 6. Solving simple equations. 7. Transposing formulae. 8. Solving simultaneous equations. 9. Straight line graphs. 10. Introduction to trigonometry. 11. Area of common shapes. 12. The circle. 13. Volumes of common solids. SECTION II MECHANICAL APPLICATIONS. 14. SI units and density. 15. Atomic structure of matter. 16. Speed and velocity. 17. Acceleration. 18. Force, mass and acceleration. 19. Forces acting at a point. 20. Work, energy and power. 21. Simply supported beams. 22. Linear and angular motion. 23. Friction. 24. Simple machines. 25. The effects of forces on materials. 26. Linear momentum and impulse. 27. Torque. 28. Pressure in fluids. 29. Heat energy and transfer. 30. Thermal expansion. 31. Ideal gas laws. 32. The measurement of temperature. Revision Test 12: Thermal expansion, ideal gas laws and temperature measurement. SECTION III ELECTRICAL APPLICATIONS. 33. An introduction to electric circuits. 34. Resistance variation. 35. Batteries and alternative sources of energy. 36. Series and parallel networks. 37. Kirchhoff’s laws. 38. Magnetism and electromagnetism. 39. Electromagnetic induction. 40. Alternating voltages and currents. 41. Capacitors and inductors. 42. Electrical measuring instruments and measurements. 43. Ways of generating electricity – the present and the future. SECTION IV ENGINEERING SYSTEMS. 44. Introduction to engineering systems. List of formulae for science and engineering. Answers to Practice Exercises. Glossary of terms. Index.