MATHEMATICAL ANALYSIS II AND GEOMETRY 2

MATHEMATICAL ANALYSIS II AND GEOMETRY 2

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Last update 01/07/2020 20:17
Code
86966
ACADEMIC YEAR
2020/2021
CREDITS
9 credits during the 2nd year of 8722 Naval Architecture and Marine Engineering (L-9) GENOVA

6 credits during the 2nd year of 8716 Electrical Engineering (L-9) GENOVA

SCIENTIFIC DISCIPLINARY SECTOR
MAT/05
LANGUAGE
Italian
TEACHING LOCATION
GENOVA (Naval Architecture and Marine Engineering)
semester
Annual
Prerequisites
Prerequisites
Prerequisites (for future units)
Teaching materials
AULAWEB

OVERVIEW

 

The course is aimed at second year students who have acquired the fundamental knowledge related to the functions of one and two variables, to plane analytical geometry and linear algebra.

AIMS AND CONTENT

LEARNING OUTCOMES

The course aims to provide the basics on  Integration of functions of multiple variables, Integration on curves and surfaces, Vector fields. Provide algebraic calculation tools and knowledge of 3D analytical geometry

AIMS AND LEARNING OUTCOMES

Geometry-The course aims to provide skills in linear algebra on Euclidean spaces and in geometry on the study of plane curves and surfaces with the first bases of analytical and differential geometry

Analysis-  The student will have to know the tools for the calculation of double, triple, curvilinear and surface integrals and the fundamental properties of vector fields in view of the applications.

PREREQUISITES

Differential calculus for functions of one and two variables. Integration of the functions of one variable.

Plane analytic geometry,  linear algebra.

Teaching methods

60h of distance lectures ( Analysis)

SYLLABUS/CONTENT

Analysis- Double and triple integrals, Curves in R^n, Parametric surfaces, Integral on surfaces, Vector fields, Functions of complex variables

 

GEOMETRY Quadratic forms, Euclidean spaces and orthogonality, spectral theorem, changes of coordinates. Conics,  rotating surfaces, quadrics. Curvilinear abscissa, straight and tangent planes, curvature.

RECOMMENDED READING/BIBLIOGRAPHY

ANALYSIS

Bertsch M., Dal Passo R., Giacomelli L.

Analisi Matematica

Mc Graw Hill

GEOMETRY

- Silvio Greco, Paolo Valabrega – GEOMETRIA ANALITICA – Levrotto e Bella SBN: 9788882181376  ISBN 10: 8882181375

- Silvana Abeasis - ALGEBRA LINEARE E GEOMETRIA - ZANICHELLI (Varie versioni, vanno tutte bene) 

- Odetti-Raimondo- ELEMENTI DI ALGEBRA LINEARE E GEOMETRIA ANALITICA –ECIG ZANICHELLI

- AulaWeb – APPUNTI Teoria - APPUNTI Coniche - APPUNTI Quadriche

 

TEACHERS AND EXAM BOARD

Danilo Percivale

Ricevimento:   Until the end of the health emergency, a special Teams channel will be set up and students can post their requests. Periodically the teacher will post the answers on Stream

Fabio Tanturri

Exam Board

DANILO PERCIVALE (President)

ELEONORA ANNA ROMANO

ALESSIO CAMINATA

ANNA ONETO

FABIO TANTURRI (President Substitute)

LESSONS

Teaching methods

60h of distance lectures ( Analysis)

ORARI

L'orario di tutti gli insegnamenti è consultabile su EasyAcademy.

EXAMS

Exam description

 

MATHEMATICAL ANALYSIS: Written followed by oral or written confirmation test chosen by the student. (online until the end of the health emergency)

GEOMETRY: Written exam followed by an oral exam