Differential Equations: Introduction to Differential Equations; Linear Differential Equations; Simultaneous Differential Equations; Differential Equations of Other Types; Applications of Differential Equations to Engineering Problems; Series Solutions and Special Functions: Series Solutions of Second Order Differential Equations; Legendre Polynomials; Bessel's Functions; Laplace Transform: The Laplace Transform; The Inverse Laplace Transform; Applications of Laplace Transform; Fourier Series: Fourier Series; Partial Differential Equations: Introduction to Partial Differential Equations; Linear Partial Differential Equations with Constant Coefficients; Classification of Linear Partial Differential Equations of Second Order; Applications of Partial Differential Equations