Engineering Mathematics : Programs and Problems

The purpose of this book is to provide a complete year's course in mathematics for those studying in the engineering, technical and scientific fields. The material has been specially written for courses lead­ ing to (i) Part I of B. Sc. Engineering Degrees, (ii) Higher National Diploma and Higher National Certificate in techno­ logical subjects, and for other courses of a comparable level. While formal proofs are included where necessary to promote understanding, the emphasis throughout is on providing the student with sound mathematical skills and with a working knowledge and appreciation of the basic con­ cepts involved. The programmed structure ensures that the book is highly suited for general class use and for individual self-study, and also provides a ready means for remedial work or subsequent revision. The book is the outcome of some eight years' work undertaken in the development of programmed learning techniques in the Department of Mathematics at the Lanchester College of Technology, Coventry. For the J1ast four years, the whole of the mathematics of the first year of various Engineering Degree courses has been presented in programmed form, in conjunction with seminar and tutorial periods. The results obtained have proved to be highly satisfactory, and further extension and development of these learning techniques are being pursued. Each programme has been extensively validated before being produced in its final form and has consistently reached a success level above 80/80, i. e. Front Matter....Pages i-xix Complex Numbers Part 1....Pages 1-34 Complex Numbers Part 2....Pages 36-70 Hyperbolic Functions....Pages 72-99 Determinants....Pages 100-138 Matrices....Pages 140-186 Vectors....Pages 188-217 Differentiation....Pages 218-241 Differentiation Applications Part 1....Pages 242-268 Differentiation Applications Part 2....Pages 270-297 Partial Differentiation Part 1....Pages 298-322 Partial Differentiation Part 2....Pages 324-342 Curves and Curve Fitting....Pages 344-392 Series Part 1....Pages 394-423 Series Part 2....Pages 424-453 Integration Part 1....Pages 454-484 Integration Part 2....Pages 486-515 Reduction Formulae....Pages 516-530 Integration Applications Part 1....Pages 532-552 Integration Applications Part 2....Pages 554-578 Integration Applications Part 3....Pages 580-613 Approximate Integration....Pages 614-634 Polar Co-Ordinates System....Pages 636-660 Multiple Integrals....Pages 662-688 First Order Differential Equations....Pages 690-732 Second Order Differential Equations....Pages 734-764 Operator D Methods....Pages 766-802 Statistics....Pages 804-845 Probability....Pages 846-898 Back Matter....Pages 900-951