Using a unique, student-friendly approach to teaching differential equations, this text encourages students to think both quantitatively and qualitatively when approaching differential equations. Before finding the analytical solution of a differential equation, the text presents the qualitative aspects of the problem—the directional field, the bounded solutions, their range, the presence of constant solutions and so on—to help students use linear algebra to think about the physical systems being modeled. In addition, this text features a fluid integration of linear algebra therefore emphasizing the inter-relatedness of differential equations and linear algebra.