Course description

Advanced Differential Equations is a field of mathematics focused on solving complex differential equations that arise in various scientific and engineering contexts. It involves the study of both ordinary and partial differential equations, often requiring advanced techniques like Fourier analysis, Laplace transforms, and numerical methods. Topics include stability analysis, nonlinear systems, and boundary value problems. The subject finds applications in fields such as physics, biology, finance, and fluid dynamics.

What will i learn?

• Solve wave equation and understand significance of transverse waves.
• Identify classes of non-linear ordinary differential equations.
• Apply an appropriate method for the solution of non-linear ordinary differential equations.
• Competence in solving applied problems which are linear and nonlinear form, Solve Laplace equation, Diffusion equation, heat equation.