Differential equations are the fundamental tools that modern science and engineering use to model physical reality. The importance of differential equations to these disciplines cannot be overemphasized. A distinct subject in its own right, linear algebra is a part of mathematics concerned with the structure inherent in mathematical systems.
Linear algebra is essential to the theory of differential equations.
The course covers material in Chapters 1-9 of the text. The topics are listed below with corresponding chapter and a rough estimate of class time. Mathematical Modeling and Numerical Methods. Linear Systems and Matrices. Vectors Spaces, Sections 4.1-4.4.