Unit MATHEMATICAL ANALYSIS 1
- Course
- Building engineering and architecture
- Study-unit Code
- GP004882
- Curriculum
- In all curricula
- Teacher
- Carlo Bardaro
- Teachers
-
- Carlo Bardaro
- Carlo Bardaro
- Ilaria Mantellini (Codocenza)
- Ilaria Mantellini
- Hours
- 40 ore - Carlo Bardaro
- 5 ore - Carlo Bardaro
- 5 ore (Codocenza) - Ilaria Mantellini
- 5 ore - Ilaria Mantellini
- CFU
- 5
- Course Regulation
- Coorte 2020
- Offered
- 2020/21
- Learning activities
- Base
- Area
- Discipline matematiche per l'architettura
- Academic discipline
- MAT/05
- Type of study-unit
- Obbligatorio (Required)
- Type of learning activities
- Attività formativa monodisciplinare
- Language of instruction
- Italian
- Contents
- Functions of a real variable, derivatives, integration, numerical series. Some practical applications.
- Reference texts
- Book: Marcellini - Sbordone "Elementi di Analisi Matematica Uno", versione semplificata per i nuovi corsi di laurea, Liguori Editore, 2002.
For exercises and related topics:
Book: C. Vinti "Lezioni di Analisi Matematica Vol. I", Galeno Ed. - Educational objectives
- Students acquire the basic mathematical knowledge to face the science subjects taught in the graduate program . In particular students, besides a basic theoretical knowledges (mathematical concepts, theorems, etc) will be able to model from a mathematical point of view the problems that arise within the professional subjects : for example, methods of optimization, calculation of areas, applications of physical type , etc
- Prerequisites
- Elementary mathematics: elementary functions, elementary set theory, algebra (equations, inequalities).
These are basic knowledges - Teaching methods
- Theoretical lessons, in which the basic topics of the course are developed, along with practical exercises that are important in order to develop methods of calculation, given according to a suitable calendar .
- Other information
- Students are strongly advised to follow the introductory courses prepared by the Department of Civil and Environmental Engineering
The course will be accompanied by a few hours ( 10 ) dedicated to the exercises , which will be discussed in the applications of the theory . - Learning verification modality
- The examination involves an individual written test lasting three hours and an individual oral examination lasting an average of half an hour . The written test is aimed at verifying the correct application of the rules and all theoretical skills reached by the student in manipulating the calculation methods . The oral test is instead aimed at the verification of theoretical knowledge and the awareness acquired by the student in dealing with the topics of study , in addition to the establishment of presentation skills and language reached . The written test is prevalent with respect to the oral examination, since this examination can be taken only if the written test has been passed.
- Extended program
- Topology on the real axis, limits and continuity. Differentiation and qualitative study of a real functions.
Applications to optimization problems in R; Taylor formula and approximation.
Riemann integration and in generalized sense; calculus of an area,. Numerical series and Taylor series.