Engineering Mathematics, (Volume - I)

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This book presents the fundamental concepts of vector calculus which forms part of Engineering Mathematics — a core paper for all first-year engineering undergraduate students. The book is specifically designed according to the Gujarat Technological University (GTU) B.Tech. (I Semester) syllabus on Engineering Mathematics. The book covers such topics as limit, mean value theorem, Riemann sum and Riemann integral, double and triple integrals and many others. It gives geometrical as well as physical interpretations besides employing the algorithmic approach to make the students comprehend the concepts and problems with ease. Each chapter is self-contained and the concepts are illustrated with problems. Key Features Explains most concepts with supporting illustrations. Gives 312 worked-out examples and 427 problems. Provides end-of-section exercises to drill the students in self-study. Includes two Model Question Papers. Besides being a text for GTU students, the book will be useful for the engineering students of MS University, Baroda; SVNIT, Surat, as well as for other engineering colleges and institutes in India. About The Author J. P. SHARMA D.Phil., has been the Director of Atmiya Institute of Technology and Science, Rajkot and the Principal of Hasmukh Goswami College of Engineering, Ahmedabad. A gold medalist in M.Sc., he has taught mathematics in several engineering colleges for more than 38 years. Dr. Sharma is a life member of the Indian Society for Technical Education (ISTE), the Computer Society of India (CSI) and Gujarat Ganit Mandal. He has also served as a member of the American Mathematical Society and a reviewer of Mathematical Reviews. His research works include convergence and approximation problems of general orthogonal expansion. MAHESH A. YEOLEKAR is Assistant Professor of Mathematics and Head of the Department at Hasmukh Goswami College of Engineering, Ahmedabad. He has more than five years of teaching experience Table Of Contents Preface PART I: UNIVARIATE CALCULUS 1. Review of Limit, Continuity and Differentiability 2. Mean Value Theorems, Maxima and Minima 3. Riemann Integral 4. Sequence and Series PART II: MULTIVARIATE CALCULUS 5. Partial Derivative 6. Double and Triple Integrals 7. Vector Calculus Appendix I Some Important Formulae Appendix II Model Paper Index