The aim of the course is to provide the basic elements of differential calculus for functions of one variable.
The course provides some basic concepts of mathematical analysis and the first elements of differential calculus for functions of one variable.
The main expected learning outcomes are
Numerical sets, equations and inequalities, analytical geometry, trigonometry.
Lecture classes and exercise classes.
Students having disabilities or Specific Learning Disorders can request suitable aids for the examinations. Such aids will be defined according to specific needs, together with the Referent for the Polytechnic School of the Committe for the inclusion of Students with Disabilites and with SLD. Students in such conditions are invited to get in touch (via e-mail) with the Teacher a sufficient time before the examination, inserting in copy the Referent for the Polytechninc School (https://unige.it/en/commissioni/comitatoperlinclusionedeglistudenticondisabilita.html), without sending any document about their disabilites.
Real numbers, the oriented real line. The Cartesian plane, graphs of elementary functions. Operations on functions and their graphical interpretation. Monotonicity. Composition and inversion. Powers, exponentials and logarithms. Supremum and infimum. Numerical sequences: the basic notions and examples. Limits of functions. Infinitesimal and infinite functions. Continuous functions and their local and global properties. Derivatives and derivation rules. Derivatives of elementary functions. Sign of derivatives in the study of monotonicity and convexity. The classical theorems of Rolle, Cauchy, Lagrange and de l'Hôpital. Study of the graph of functions. Taylor expansions and their applications.
Ricevimento: Students may contact the professor by e-mail
CLAUDIO ESTATICO (President)
MARCO BARONTI (President Substitute)
ANDREA BRUNO CARBONARO (President Substitute)
SIMONE DI MARINO (President Substitute)
ULDERICO FUGACCI (President Substitute)
EDOARDO MAININI (President Substitute)
Class schedule at https://corsi.unige.it/corsi/8716/studenti-orario
The exam consists of
To enroll the exam, you must register by the deadline on the website
https://servizionline.unige.it/studenti/esami/prenotazione
Multiple choice tests. It is aimed to verify the student's ability to manage mathematical notation and to carry out simple computations and simple deductive reasoning. It is necessary to be successful in the multiple choice test in order to access the written exam.
Written exam. This part includes open questions and exercises. It is aimed to verify the knowledge of the main tools of differential calculus. The written exam consists of exercises with several questions of different difficulty. The student must be able to solve the exercises correctly and to justify the necessary steps to obtain the final result, and to use the correct formalism.
Ask the professor for other information not included in the teaching schedule
