"Technician Mathematics 2" is the second in a series which deal with the fundamental mathematics essential in the development of technicians and engineers. The material for the third edition of this textbook has been updated and expanded to cover (together with Technician Mathematics 3) the main areas of the Business and Technology Education Council's "Mathematics for Engineers" module for National Certificate and Diploma courses likely to be studied in a Mathematics lesson. The definition and solution of engineering problems relies on the ability to represent systems and their behaviour in mathematical terms, which in turn, depends on the use of various mathematical tools. This textbook deals with some of those mathematical skills and concepts relevant to effective performance in engineering employment at technician level. The aim of this book is to model simple engineering systems, to generate numerical values for system parameters, to manipulate data to determine system response in defined conditions, to evaluate the effects on systems of changes in variable sand to communicate ideas mathematically.
Each topic considered in the text is presented in a way that assumes in the reader only the knowledge attained in Technician Mathematics 1. This practical mathematics book contains over 250 detailed worked problems, followed by some 800 further problems with answers. Although specifically written for the early stages of BTEC National Certificate and Diploma Mathematics, the book will also be suitable for NVQ and gNVQ studies and for students studying A level Mathematics.
Table of Contents
Preface 1. Evaluation and transposition of formulae 2. Indices and logarithms 3. Continued fractions 4. Analytical solution of quadratic equations 5. Straight line graphs 6. Graphical solution of equations 7. Reduction of equations of the form y = ax n to linear form 8. Exponential growth and decay 9. Curve sketching and the determination of law 10. The notation of second order matrices and determinants 11. The solution of simultaneous equations having two unknowns using determinants and matrices 12. The circle 13. Trigonometric ratios of any angle 14. Some properties of trigonometric problems 15. The solution and areas of triangles 16. Practical trigonometric problems 17. Areas and volumes 18. Irregular areas and volumes 19. Further areas and volumes 20. Mensuration assignments 21. Introduction to differentiation 22. Differentiation of algebraic and trigonometric functions 23. Introduction to integration 24. Measures of central tendency 25. Standard deviation Index