The Numerical Methods course focuses on solving systems of linear equations. It covers direct methods like Gaussian elimination and LU factorization, as well as iterative methods such as Jacobi, Gauss-Seidel, and Successive Over-Relaxation (SOR). The course emphasizes both the theoretical and practical aspects of these techniques, teaching students how to apply them effectively. These methods are fundamental for solving real-world problems in numerical modeling and optimization.