The Finite Element Method (FEM) is a powerful numerical technique used to solve partial differential equations (PDEs) governing physical phenomena across various engineering and scientific disciplines. This course provides a comprehensive introduction to the theory, implementation, and applications of the Finite Element Method. Topics covered include finite element discretization, interpolation functions, assembly of element equations, solution techniques, error estimation, and practical considerations in FEM analysis. Through theoretical lectures, hands-on programming exercises, and real-world applications, students will develop a solid understanding of FEM principles and gain proficiency in applying FEM to solve complex engineering problems.