For combined differential equations and linear algebra courses teaching students who have successfully completed three semesters of calculus. This complete introduction to both differential equations and linear algebra presents a carefully balanced and sound integration of the two topics. It promotes in-depth understanding rather than rote memorization, enabling students to fully comprehend abstract concepts and leave the course with a solid foundation in linear algebra. Flexible in format, it explains concepts clearly and logically with an abundance of examples and illustrations, without sacrificing level or rigor. A vast array of problems supports the material, with varying levels from which students/instructors can choose. * A better integration of DE and Linear Algebra than other texts on the market. * One of the most lucid and clearly written narratives on the subject, with material that is accessible to the average student yet challenging to all students. * Highly flexible organization - Enablesinstructors to tailor the course to meet their needs. * A greater emphasis on geometry - Helps students better visualize the abstract concepts. * An ample number of worked examples to illustrate concepts. * Boxed and/or shaded definitions for greater emphasis. * Several application problems introduced in the first section of the text - Subsequently uses them throughout the following chapters to help motivate students.