DIFFERENTIAL EQUATIONS (4 Credits)

Learning Outcomes:

On successful completion of this course, student will be able to: LO1 – Recognize the appropriate method to solve an ordinary differential equation related to application problems; LO2 – Solve an ordinary differential equation system related to application problems; LO3 – Construct the analytical solution of a simple partial differential equation by the separation variable method; LO4 – Build the numerical solution of a simple partial differential equation by the finite difference method.

Topics:

1. Laplace Transform;
2. Introduction to PDE;
3. Higher Order ODE;
4. Finite Difference Method;
5. ODE system;
6. System of ODE;
7. First order ODE;
8. Heat Equation: Separation of Variables Method;
9. Laplace Transform for ODE;
10. Nonomogeneous ODE;
11. Heat and Wave Equation;
12. Wave Equation: Finite Difference Method;
13. Wave Equation: Separation of Variables Method;
14. Homogeneous ODE;
15. Simple PDE;
16. Application of ODE;
17. Method of Separation Variable;
18. Heat Equation: Finite Difference Method;
19. First Order ODE.