The purpose of the course is to provide the students with the necessary background of differential and integral calculus for functions of several variables, and of differential equations. A further aim is to apply analytical techniques in other scientific disciplines.
Learning outcomes (declined compared with respect to the Dublin descriptors)
Knowledge and understanding. Knowledge of the differential and integral calculus for functions of several variables. The student will be able to state and prove basic theorems of Mathematical Analysis.
Applying knowledge and understanding. The ability to understand the problems proposed during the course, the ability concerning a correct application of the theoretical knowledge. The student will be able to study functions, to solve integration problems, to solve differential equations of first and second order, to discuss the behavior of series of functions.
Making judgments. Develop the ability to critically evaluate the problems and propose the most appropriate approach
Communication skills. Ability to report and present the results with a logical-deductive and synthetic exposition. He must be able to explain (even to non-expert people) the power of some applications of the mathematical tools described in the course, in the field of Engineering.
Ability to learn.
Ability to develop, outline, summarize the contents from several sources, in order to achieve a broad overview of the problems connected to the topics discussed in the course. The student will also develop the skill of learning more advances techniques of Mathematical Analysis.