MTHA 2001

This course introduces the basic theory of differential equations, considers various techniques for their solution, and looks at various applications. Topics include First Order Linear and Non-Linear differential equations; differential equations of higher order; Laplace Transforms; Series solutions; systems of equations; and Fourier Series. Topics from Linear Algebra are included as required to solve systems of differential equations, Linear Algebraic equations, matrices and vectors, eigenvalues and eigenvectors, and solutions to both homogeneous and nonhomogeneous systems.