Knowledge and understanding.
At the end of the lectures, students should have acquired knowledge and understanding of the basic results of multivariable calculus, ordinary differential equations, curves in Euclidean n-dimensional spaces and of Peano-Jordan measure theory and integration.
Applying knowledge and understanding.
By means of the classroom exercises students learn how to apply the theoretical knowledges to solve concrete problems, such as optimization problems. models from the applied sciences which lead to solving ordinary differential equation or to solving particular integrals for functions of several variables.
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 and precise way mathematical statements in the field of study, also in a context broader than mere calculus. Through the front lectures and the assistance of the teacher, the students acquire the specific and appropriate scientific vocabulary.
The student, who has attended the course, is able to deepen autonomously his/her knowledge of multivariate calculus, of the measure theory and integration for multivariate functions, starting from the basic and fundamental knowledges provided by the course. He/She will be also able to consult specialized textbooks, even outside the topics illustrated during the lectures. This to facilitate the entry in the labour market as well as a second-level study in a field which requires good mathematical skills.