A proposal for an instructional methodological class on iterative numerical methods for Systems of Linear Equations

Introduction: The methodological work aimed to enhance teachers' pedagogical preparation to optimize the teaching-learning process, focusing on improving Curriculum E of Computer Science, specifically in the Numerical Mathematics course. Methods: An instructional methodological class was designed based on previous research conducted at the Faculty of Mathematics and Computing at the University of Havana, addressing the numerical solution of systems of linear equations through iterative methods. Documentary analysis, observation, and inductive-deductive methods were used, integrating theoretical foundations, efficient algorithms, and practical exercises. The class followed an introduction, development, and conclusions structure. Results: The proposal combined a theoretical summary, practical exercises, and comparative approaches, providing a structured pedagogical resource to facilitate conceptual understanding and the application of numerical techniques. Conclusions: The initiative offers an effective methodological guide for teachers, strengthening the teaching of Numerical Mathematics and promoting significant transformations in the educational process.