Limits and differential calculus for functions of several real variables.
Implicitly defined functions.
Curvilinear integrals and differential forms
LEARNING OUTCOMES: mastering Calculus for functions of more than one variable
KNOWLEDGE AND UNDERSTANDING: understanding the differences and similarities with one-dimensional calculus
APPLYING KNOWLEDGE AND UNDERSTANDING: solution of calculus problems in several dimensions
MAKING JUDGEMENTS: understanding when it is not possible to go back to simple one-dimensional calculus problems and it is necessary to use multidimensional concepts
COMMUNICATION SKILLS: developing the terminology proper to the topic and explaining the new concepts in terms of more basic calculus