Synopsis :
This is an introductory course on differential equations. Topics include first-order ordinary differential equations (ODEs), linear second-order ODEs with constant coefficients up to fourth order, the method of Laplace transforms, Fourier series, and partial differential equations (PDEs).
Objectives:
On completing the course, students should be able to:
- Execute appropriate techniques to solve first, second, and higher-order ordinary differential equations.
- Identify and apply the Laplace transform and its inverses for real-valued functions and extend the knowledge to solve various types of systems of differential equations using Laplace transforms.
- Determinethe Fourier series of given periodic functions.
- Execute suitable methods of solving partial differential equations.
