Calculus for Engineering Students: Fundamentals, Real Problems, and Computers

Calculus for Engineering Students: Fundamentals, Real Problems, and Computers insists that mathematics cannot be separated from chemistry, mechanics, electricity, electronics, automation, and other disciplines. It emphasizes interdisciplinary problems as a way to show the importance of calculus in engineering tasks and problems. While concentrating on actual problems instead of theory, the book uses Computer Algebra Systems (CAS) to help students incorporate lessons into their own studies. Assuming a working familiarity with calculus concepts, the book provides a hands-on opportunity for students to increase their calculus and mathematics skills while also learning about engineering applications.

Organized around project-based rather than traditional homework-based learningReviews basic mathematics and theory while also introducing applicationsEmploys uniform chapter sections that encourage the comparison and contrast of different areas of engineering

1. Real functions and limits (one and multiple variables)
2. Differentiation (one and multiple variables)
3. Complex numbers and functions
4. Real and complex sequences and series
5. Function series (including Taylor and Fourier series)
6. Applications of integrals (one variable)
7. Double and multiple integrals
8. Nonlinear equations (and systems of nonlinear equations)
9. Linear optimization and the simplex method
10. Nonlinear optimization
11. First-order and systems of first-order differential equations
12. Higher-order and systems of higher-order ordinary differential equations
13. Partial differential equations
14. Laplace and z transforms