804295

Differential equations are fundamental tools that scientists and engineers use to model physical reality. Linear algebra is concerned with structure inherent in mathematical systems. Students will see that solutions of certain differential equations form a vector space, and techniques from linear algebra allow us to solve systems of linear differential equations. Topics covered include first order differential equations, differential models, linear systems and matrices including solving systems of equations by Gaussian elimination, matrix operations, determinants, vector spaces, higher order linear differential equations, exponential methods with matrices, and nonlinear systems.