Knowledge and understanding.
Students must achive thorough conceptual understanding of the theoretical foundations of multivariable differential and integral calculus as well as computational fluency.
Applying knowledge and understanding.
Students must be able to apply the forementioned notions to solve medium level problems related to the field of study and to understand how the forementioned notions can be used for solving problems in a more applied context.
Students must be able to evaluate coherence and correctness of results obtained by themselves or by others.
Students must be able to communicate in a clear, precise and complete way mathematical statements in the field of study, also in a broader context than mere calculus.
Multivariable differential and integral calculus.
N. Fusco - P. Marcellini - C. Sbordone "Analisi matematica 2", Liguori, Napoli 2001
W. Fleming "Functions of several variables", Springer, New York 1977
W. Rudin "Principles of Mathematical Analysis", McGraw--Hill, New York 1976
J. L. Taylor "Foundations of analysis", American Mathematical Society, Providence RI 2012
Lectures in classroom and laboratory activities.
Exams test for thorough conceptual understanding of theoretical results and computational fluency. Consist of a written text followed by a colloquium.