The course aims at the study of fundamental aspects of mathematical analysis, not included in the previous courses and crucial for the study of the mathematical models typical of Engineering. The aims are: the deep and complete comprehension of the arguments of the course, the corresponding computational skills, the ability of recognize the right mathematical tools to solve engineering problems.
Course Prerequisites
The contents of Analisi Matematica and Geometria e Algebra are preparatory for the arguments of the course. In particular, students should have a good knowledge of: differential and integral calculus of vector and real valued functions of one or several variable, numerical series, complex number, linear algebra.
Teaching Methods
The course consists in 56 hours which include both the theoretical and the practical part (made of exercises). During the lectures, the arguments of the program are presented through definitions, theorems, examples, properties. Some proofs are also given, with the aim of helping the student to better understand the arguments and develop logical-deductive skills. Many notes and exercises are at disposal of the students in the corresponding page on the Moodle platform KIRO.
Assessment Methods
There will be a written exam for everybody and an optional oral exam. The written test consists of some exercises. During it, books, notes and any electronic devices are forbidden. The possible oral test is mainly aimed at further deepening the knowledge of the theory learned during the course. The final exam grade will be established taking into account the score obtained in the written test and the oral test, not necessarily reduced to an arithmetic mean. The final grade will be determined by considering the overall breadth and depth of learning, as well as the clarity of presentation and the problem-solving skills demonstrated.
Texts
N. Fusco, P. Marcellini, C. Sbordone Lezioni di Analisi Matematica 2, Zanichelli M. Bramanti, C.D. Pagani, S. Salsa Analisi Matematica 2, Zanichelli
Contents
Ordinary differential equations. Fourier series . Calculus of variations. Theory of distributions.
Course Language
Italian
More information
For students included in the categories of the project "didattica innovativa" (new methods for teaching) office hours even at evening.
