This book is a part of the original book ‘‘A Textbook of Engineering Mathematics’’ by N.P Bali running into eighth edition and very well received by the students and teachers of all Indian Universities. The rapid sale of the eighth edition bears testimony to the overwhelming response. We thank them for the appreciation. Some new topics that are required according the syllabus are added. The present form of the book is divided into four modules containing six chapters and covers the entire portion in the B. tech. third semester Cochin University Engineering Mathematics-II syllabus. Problems taken from Cochin University question papers are included with solutions in each unit. There is no dearth of books on Engineering Mathematics but the students find it difficult to solve most of the problems in the exercise in the absence of adequate number of solved examples. An outstanding and distinguishing feature of the book is the large number of typical solved examples followed by well-graded problems. We have endeavoured to present the fundamental concepts in a comprehensive and lucid manner. We are indebted to all authors, Indian and Foreign, whose works we have frequently consulted. All efforts have been made to keep the book free from errors. Answers to all exercise have been rechecked. All suggestions for improvement will highly appreciated and gratefully acknowledged.