The use of analytical methods, specifically the evaluation of integrals in solving various physical problems encountered in research, is often not feasible due to complexity or even the impossibility of the calculation. The situation rapidly worsens with the increasing complexity of the function or when the dimension of the space expands. Therefore, in most cases, evaluation or calculation is only possible through numerical methods. In this context, this course introduces different methods and algorithms across various topics in physics in general and mechanics in particular. The main task is to select the most suitable approach to meet the objective. This principle is quite general and applies to all numerical problems. Additionally, software tools are available that employ numerical or analytical methods to perform the necessary calculations in this field. Thus, familiarity with these methods is essential for selecting the most efficient way to solve a given numerical problem.