Unit MATHEMATICAL ANALYSIS 2
- Course
- Building engineering and architecture
- Study-unit Code
- GP004883
- Curriculum
- In all curricula
- Teacher
- Carlo Bardaro
- Teachers
-
- Carlo Bardaro
- Carlo Bardaro
- Loris Faina (Codocenza)
- Loris Faina
- Ilaria Mantellini
- Hours
- 40 ore - Carlo Bardaro
- 5 ore - Carlo Bardaro
- 5 ore (Codocenza) - Loris Faina
- 5 ore - Loris Faina
- 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 several real variables, multiple integrals, vector firlds, linear differential equations and applications
- Reference texts
- Book: C. Bardaro, Elementi di Analisi Matematica 2, COM Editore, Roma, 3a Edizione, 2015
For practical exercises and further developments:
Book: C. Vinti "Lezioni di Analisi Matematica vol.2", Galeno Ed. - Educational objectives
- Students acquire the basic mathematical knowledge to face the science subjects taught in the graduate program . In particular students, besides the basic theoretical knowledges (mathematicalconcepts, theorems, etc), will be able to model from a mathematical point of view the problems that arise within the professional subjects : for example optimization methods in several variables , calculation of areas and volumes, applications in engineering problems concerning engineering sciences (stability of the beams , etc .. ) , physical applications, etc ...
- Prerequisites
- Students should have well understood the arguments developed during Mathematical Analysis 1 and , although not mandatory, the topics covered in the course of geometry .
- Teaching methods
- Theoretical lessons, in which the basic topics of the course are developed, along with practical exsercises, that are important in order to develop methods of calculation and also to check the practical ability in calculations .
- Learning verification modality
- The examination involves the carrying out of 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 implementation of the theoretical and skill attained 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. Indeed, this examination can be given only if the writen test has been passed
- Extended program
- Euclidean spaces, vectors, vector valued functions and space curves. Functions of several real variables: differentiability, continuity,
optimization. Double and triple integrals and calculus of volumes, baricenter, moments. Line integrals, differential forms: applications
to conservative fileds, potentials; divergence theorem and the curl of a vector field.
Linear differential equations: some applications to various problems in the scientific world.