About the Vikas-WBUT Students Series: Books in this series have been specially designed to meet the requirements of a large spectrum of engineering students of WBUT—those who find learning the concepts difficult and want to study through solved examples, and those who wish to study the traditional way. A large number of solved examples are the backbone of this series and are aimed at instilling confidence in the students to take on the examinations. Engineering Mathematics—Volume 1 has been written for the first year Engineering students of WBUT. Starting with the basic notions of set theory and an introduction to symbolism in modern mathematics the entire book has been developed with an eye on the physical interpretations of concepts, application of the notions in engineering and technology and precision through its solved examples. Authors’ long experience of teaching various grades of students has played an instrumental role towards this end. An emphasis on various techniques of solving difficult problems would be of immense help to the students. SALIENT FEATURES Brief but just discussion of theory Techniques of solving difficult questions Examination oriented approach A large number of MCQs with answers Large number of solved examples University question papers with answers

Table of Contents:
• Sequence and Series • Limit, Continuity and Differentiability of a Function • Successive Differentiation • Indeterminate Forms: L´Hospital´s Rule • Mean Value Theorems • Functions of Several Variables • Extrema of Functions • Integration • Rectification • Evaluation of Area • Line, Double and Multiple Integrals • Solids of Revolution • Applications of Integration—Moment of Inertia and Centre of Gravity • Vector Algebra • Gradient, Divergence and Curl • Vector Integration • Analytic Solid Geometry • Short Questions with Answers • University Question Papers with Answers