Intended learning outcomes
- Recognize the studied concepts as generalizations of the notions previously covered in the study of real functions of real variable.
- To master the basics of limit, continuity and differentiability of scalar and vector fields, as well as their applications, namely, the location and evaluation of extrema.
- To master the calculation of multiple integrals, identifying the geometric representation of the domain and recognizing which ideal coordinates to use.
- To master the parametric representation of lines and surfaces and learn to use it in the calculation of line and surface integrals, and their applications such as, length of lines, area of surfaces, flux of vector fields, and work done by forces.
- To master the notions of continuity and differentiability of a complex variable function, as well as the calculation of integrals of complex variable functions.
- To use visual and spatial reasoning to analyze situations and solve real problems.
- To know how to mathematically formulate a problem and implement the strategies and appropriate tools to their analytical resolution.
- To be able to apply the key concepts and techniques of differential and integral calculus in IRn in the context of the several courses served by Mathematical Analysis II.
- To have skills for calculations, analysis and deductive reasoning.