The revised edition covers the course of Engineering Examinations conducted by Boards of Technical Education Maharastra, Madhya Pradesh, Delhi etc. In most of the chapters, the contents have been rearranged, and many more problems have been added to make the book up to date. The authors are thankful to Prof. J.C. Bhatia Ph.D., D.Sc., Prof. & Head of Maths. Deptt., Delhi College of Engineering, Delhi for his continued guidance and encouragement. The authors are also thankful to their colleagues for their valuable help. We would also, like to thank, the Publishers and the printers for their courtesy and co-operation in bringing out the book in the present form. We shall be happy to entertain further suggestions from various quarters for the improvement of this book.