According to Gujarat Technological University Syllabus) This volume is primarily intended to serve as a basic text for students following introductory courses in all the branches of engineering. It will also be useful, as a reference text in applied mathematics, to engineers and scientists. This well-organized and comprehensive text covers the complete syllabus of Gujarat Technological University (GTU), Ahmedabad. The subject matter of the book is organized in two parts : Part I (For B.E., First semester students) Part II (For B.E., Second semester students) Part I deals with the applications of differential calculus and partial differentiation, vector calculus and infinite series. Part II provides discussion on the concepts of vector spaces, homogeneous system of equations, Cramer’s rule, orthogonality and orthonormal bases, and eigenvalues of a linear operator. KEY FEATURES 1 Numerous illustrative examples covering important models. 2 Unsolved problems for practice at the end of each section. 3 Answers to all exercises. 4 Question bank at the end of chapters