The aim of the course is the knowledge and understanding of basic concepts of complex analysis, Fourier series and Distributions.
Learning outcomes (declined compared with respect to the Dublin descriptors)
Knowledge and understanding. Knowledge of the differential and integral calculus for functions of a complex variable, Fourier series. The student will be able to state the basic definitions and to state and prove basic theorems.
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 manage complex functions, to solve integration problems, to discuss the behavior of Fourier series.
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.