The Numerical Analysis course aims to study synthesis-based analysis of the application of the numerical paradigm in systems of linear equations (SPL), the ill-conditioned nature of SPL, and several iterative methods in increasing the accuracy of numerical solutions of SPL. Understanding the numerical paradigm is also applied to determine numerical solutions for GDP with single steps and multi-steps. The discussion also discusses pictorial methods for determining numerical solutions of partial differential equations (PDP) by focusing on three types: elliptic, parabolic, and hyperbolic. Matlab-based analytical proof and simulative illustrations are discussed for a solution model for a problem designed based on techno-echo-entrepreneur-maths. Learning is carried out by applying a combination of problem-based learning, discussion and conventional direct learning approaches. Learning activities are also intended to improve skills through group presentations on specified topics. The assessment is determined with proportional weights and is carried out during the learning process with active interactive participation, presentations, assignments and mid-semester exams, as well as final semester exams.