Hjem

The book is written for the course Advanced Engineering Mathematics 2 at the Technical University of Denmark. Longer proofs are placed in an Appendix, so the book can be used as well in a practically oriented course as in a more theoretically oriented course. The presentation requires a solid knowledge of calculus, linear algebra, and differential equations of first- and second order. 
The main topics are: • Differential equations of nth order;  • Systems of differential equations of first order;  • Transfer functions;  • Stability;  • Nonlinear differential equations;  • Infinite series with constant terms;  • Infinite series with variable terms;  • Power series; • Fourier series;  • Solution of differential equations using power series;  • Solution of differential equations using Fourier series;  • The Fourier transform.  
The book also contains a large collection of exercises and an appendix with Maple commands.