Clinical Engineering

The goals consist of a good knowledge of the terminology adopted in the context of Mathematical Analysis. It is expected that the students will be familiar with the proof techniques, they will have a knowledge of the fundamentals about sequences and serie of functions, Taylor Series, Fourier Series, functions of n real variables, integrals in R^2, R^3, curve, line integrals. differential forms, vector fields, surfaces and integration, complex functions, holomorphy, integration in C, antiderivatives, analytic functions, zeroes and singularities. Laurent series, Laplace Transform. Crucial achievements are the ability in applying theorems and concepts learned during the course, in developing strategies and methods to solve problems. It is expected to be able to share and communicate information about the topics of the course with a correct formal language, dominating the contents, computing integrals in R^2, R^3, along curves, in the complex plane, along surfaces; making estimates in term of series, detecting critical points of functions of n real variables, expanding regular functions in power series, and periodic ones in Fourier series, solving improper integrals by means of residues, compute Laplace transform and its inverse in basic cases. It is important to detect the more effective and efficient method for problem solving, also in a way to apply the knowledge to different frameworks than the pure mathematical one. The learners are expected also to be able to deepen the contents, consulting and using materials other than those offered during the course. It is important the adoption a scientific approach based on the formal evidence and rigorous proofs, devoted to clarify questions also in order to improve general understanding of phenomena.