Contents: Introduction to Differential Equations; Differential Equations and solutions. Separable Equations; Linear Equations. Exact Differential Equations ; Autonomous Equations. Modeling and Applications; Euler’s Method. Vectors and Matrices; Systems of Linear Equations; Bases and Subspaces. Matricies. Determinants; An Introduction to Systems; Linear System with Constant Coefficients; Second – order Equations; Laplace Transforms;