The Numerical Methods course aims to provide the basic principles of numerical solutions without abandoning the analytical proof scheme. Understanding numerical solutions includes the concept of error including sources and ways to prevent them, approximation of the roots of nonlinear equations including solution methods and analytical proof schemes, interpolation including data approximation and smoothing, as well as numerical differentiation and integration with analytical proof schemes. Learning is carried out by applying a combination of problem-based learning approaches and collaborative learning based on problems determined based on echo-techno-entrepreneur-maths. 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.