Knowledge and understanding: At the end of this course the student should know the essential definitions and results of analysis in several variables, and he should be able to grasp how these enter in the solution of problems.
Applying knowledge and understanding: The student should be able to apply the forementioned notions to solve medium level problems, and to understand how they relate to concepts seen in different courses.
Making judgements: The student should be able to evaluate coherence and correctness of the proofs he gives during the written test.
Communication skills: The student should be able to communicate in a clear and precise way, suitable for a scientist-to-be in an intermediate stage of his formation.
Lerning skills: The student should be able to link the content of the course with what he learned in the first year.