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Differential equations arise in a variety of contexts, some purely theoretical and some of practical interest. As you read this textbook, you will find that the qualitative and quantitative study of differential equations incorporates an elegant blend of linear algebra and advanced calculus. This book is intended for an advanced undergraduate course in differential equations. The reader should have already completed courses in linear algebra, multivariable calculus, and introductory differential equations.
Virginia Commonwealth University Mathematics
differential equations, linear and nonlinear systems, Fourier series
School of Arts and Sciences
Cain, John W., and Angela M. Reynolds. Ordinary and Partial Differential Equations: An Introduction to Dynamical Systems. Richmond, VA: Virginia Commonwealth University Mathematics, 2010.