Vector Calculus and Dynamics of Physical Systems

3 units

This course will explore fundamental concepts in vector calculus and partial differential equations with a focus on their practical applications and conceptual understanding. We will derive the Laplace, diffusion, and wave equations and explore their solutions in different coordinate systems. The course will emphasize computational solutions and data visualization in case studies involving applications to areas such as electrostatics, heat conduction in solids , transmission lines, antennas, and wave propagation, providing hands-on experience in solving partial differential equations in real-world scenarios.