1. First-order differential equations. 2. Second-order linear differential equations. 3. Higher order linear differential equations. 4. Systems of differential equations. 5. Power series solutions of linear differential equations, Sturm-Liouville problems. 6. Laplace transforms. 7. Existence and uniqueness theorem of first-order differential equations. 8. Simple modeling problems.

CILO-1: Formulate and solve some ordinary differential equations by using methods such as separating variables and integrating factor. CILO-2: Illustrate and solve higher order linear ordinary differential equations. CILO-3: Apply series method to solve ordinary differential equations. CILO-4: Apply Laplace transform to solve Initial value problems.