Knowledge and understanding:
At the end of this course the student should know the essential definitions and results of the analysis in more variables, and he should be able to grasp how these enter in the solution to 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 will be used in a more applied context.
The student should be able to evaluate coherence and correctness of the results obtained by himself or offered him.
The student should be able to communicate in a clear and precise way, also in a context broader than mere calculus.