Differential Equation & Linear Algebra

This course covers matrix algebra, transposition, and inversion. Solving systems of linear equations with matrices. The definition, properties, and applications of determinants are studied. Vectors in n-dimensional space are analyzed. Eigenvalues and eigenvectors are discussed thoroughly. Techniques for solving fist order and higher order differential equations are studied in detail. Systems of differential equations are solved using eigenvalues and eigenvectors. Applications of differential equations are discussed.