Designed for a one semester course in differential equations, the book spans a variety of topics in the basic
theory as well as applications of differential equations. Presentation is comprehensive and user friendly. The
text includes partial differential equations and early coverage of numerical techniques, procedure boxes to highlight
and summarize steps for problem solving, and unique chapter projects at end of chapters. New material includes
coverage of chaos, group projects, technical writing exercises, and integration of mathematical modeling throughout.
Table of Contents
Chapter 1: Introduction
Chapter 2: First Order Differential Equations
Chapter 3: Mathematical Models and Numerical Methods Involving First Order Equations
Chapter 4: Linear Second Order Equations
Chapter 5: Applications and Numerical Methods for Second Order Equations and Systems
Chapter 6: Theory of Higher-Order Linear Differential Equations
Chapter 7: Laplace Transforms
Chapter 8: Series Solution of Differential Equations
Chapter 9: Matrix Methods for Linear Systems
Chapter 10: Partial Differential Equations
Chapter 11:Eigenvalue Problems and Sturm-Liouville Equations