This book presents the basic concepts of calculus and its relevance to real-world problems, covering the standard topics in their conventional order. By focusing on applications, it allows readers to view mathematics in a practical and relevant setting. Organized into 12 chapters, this book includes numerous interesting, relevant and up-to date applications that are drawn from the fields of business, economics, social and behavioural sciences, life sciences, physical sciences, and other fields of general interest. It also features MATLAB, which is used to solve a number of problems. The book is ideal as a first course in calculus for mathematics and engineering students. It is also useful for students of other sciences who are interested in learning calculus.
Calculus for Scientists and Engineers
Chapter 1. Functions and ModelsChapter 2. Limit and ContinuityChapter 3. DerivativesChapter 4. OptimizationChapter 5. Sequences and SeriesChapter 6. IntegrationChapter 7. Applications of IntegrationChapter 8. Functions of Several VariablesChapter 9. Vector CalculusChapter 10. Fourier Methods with ApplicationsChapter 11. Differential equationsChapter 12. Calculus with Matlab