Analytical and numerical methods with mechatronics applications. Complex numbers, partial differential equations, analytic functions, elementary functions, mappings, integrals, series, residues and poles, integral formulas. Statistical tests. Numerical integration and differentiation, solution methods of boundary value problems. Use of programming languages to implement numerical methods. Critical-thinking applied to problems related to mechatronics systems. Formulation, methodologies, and techniques for numerical solutions of engineering issues, particularly those arising within the field of mechatronics.