Calculus with Applications

Contents 1 Functions and Models 2 Limit and Continuity 3 Derivatives 4 Optimization 5 Sequences and Series 6 Integration 7 Applications of Integration 8 Functions of Several Variables 9 Vector Calculus 10 Fourier Methods with Applications 11 Calculus with Matlab 12 Solutions of Exercise 13 Appendices Bibliography IndexThe book explains the basic concepts of calculus with their relevance to the real world problems It focuses on applications with rigorous emphasis on analysis Plenty of solved examples are given to clarify techniques related to a particular theme The text is application oriented Many interesting relevant and up-to-date applications are drawn from the fields of business economics social and behavioural sciences life sciences physical sciences and other fields of general interest Applications are found in the main body of the text as well as in the exercise sets In fact it includes at least one real-life application in each section wherever possible Appendices discuss concepts and themes regarded as prerequisites like the number system trigonometric functions and analytic geometry Proofs of many important theorems are also included This book is meant to be used for a first course in calculus addressed to students of science and engineering 608 pp.…