Differential equations and infinite Series

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