Modeling and analysis with emphasis on solution techniques of dynamic problems arising in electrical engineering applications. Problem formulation and solution of first and second order ordinary differential equations (ODEs). Use of Laplace Transform and numerical solution methods to solve initial and boundary value problems. Systems of ODEs. Vectors and matrices. Linear equations and inverse matrices. Vector spaces, Eigenvalues and Eigenvectors. First and second order partial differential equations (PDEs). Solutions to boundary value problems for Laplace's equation and other PDEs. Prerequisite: MATH 2326 and an academic history that includes a Linear Algebra and Matrix Theory Course or consent of the instructor.