ENGINEERING MATHEMATICS I (4 Credits)

Learning Outcomes:

On successful completion of this course, student will be able to: Explain basic concepts of ordinary differential equations; Solve first order, second order, and higher order linear ordinary differential equations; Apply first and second order ordinary differential equation to solve mathematical modelling in real problems; Use systems of ODEs as models in engineering applications.

Topics:

1. Introduction;
2. First Order Ordinary Differential Equations;
3. Application of First Order Ordinary Differential Equations;
4. Second Order of Homogeneous Linear Ordinary Differential Equation;
5. Second Order of Nonhomogeneous Linear Ordinary Differential Equations;
6. Higher Order Linear Ordinary Differential Equations;
7. Application of Second Order Linear Differential Equations;
8. Systems Of First Order Linear Equations;
9. Applications of Systems of Linear Differential Equations.