Complex Analysis: Line Integrals, Residual Theorem, Laurent Series

This lecture covers complex analysis topics such as line integrals, the residual theorem, Laurent series, Laplace transform, Fourier series, and their applications in solving ODEs and PDEs. It also delves into vector calculus, surface integrals, Gauss and Green theorems, and Stokes theorem. The instructor demonstrates the solution of boundary value problems using Laplace transform and Fourier series, emphasizing the importance of understanding Poisson problems over intervals with zero-order terms and Dirichlet boundary conditions.