This book is an introduction to standard topics in differential equations for the average sophomore engineering or science student. The fundamental equations, including a brief view of 2�2 systems via elimination. The chapters that follow give mutually independent treatments of systems (linear and nonlinear), the Laplace transform, power series solutions, numerical methods, and Fourier series methods for partial differential equations. With an appropriate choice of topics, this book can serve as the basis for various courses to follow a two-or three-semester calculus sequence; the possibilities range from an integrated introduction to linear differential equations and systems that incorporates the rudiments of linear algebra(without assuming previous exposure to determinants, matrices or vectors)