The aim of this Book is to present elements of Mathematics as applied to Scientific and Engineering students whose main Interest in the subject lie in finding the particular solution so rather than the General theory the book has been designed to source as the textbook of formal courses in Engineering Mathematics of B.Tech. students of all Indian Universities. The subject matter has been discussed in a systematic way starting from basic concepts, keeping in mind the actual difficulties of students. Considerable more number of worked examples has been included in the text against each topic in all the chapters to make it more flexible.