23MAT102 COMPLEX ANALYSIS AND LAPLACE TRANSFORMS

Complex Analysis is a branch of mathematics that deals with complex numbers and functions of a complex variable, focusing on concepts such as analytic functions, complex integration, and series expansions. It provides powerful techniques for solving problems in engineering, physics, and applied mathematics. The Laplace Transform is a mathematical method used to transform functions from the time domain into the complex frequency domain, making it easier to analyze and solve differential equations and linear systems. Together, complex analysis and Laplace transforms play an important role in electrical engineering, control systems, signal processing, and system analysis by simplifying complex calculations and providing efficient methods for solving dynamic system problems.