This book has been written as a comprehensive text to satisfy the requirement of the new scheme in “Advanced Mathematics (14ELD11)” for the first semester M. Tech. (Electronics Board) students of Visvesvaraya Technological University, Belagavi. The concepts and fundamental procedures have been explained in a lucid manner and a wide variety of completely solved problems have been included, many problems are included along with their solutions. The other important features of this textbook are a list of formulae and previous year examination paper placed in appropriate section. I am sure that the students and faculty of M. Tech. will find this book as a “good learning material”.