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.
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
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.
Differential calculus for functions of one and two variables. Integration of the functions of one variable. Plane analytic geometry, linear algebra.
60h of distance lectures ( Analysis)
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.
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
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
DANILO PERCIVALE (President)
ALESSIO CAMINATA
ANNA ONETO
ELEONORA ANNA ROMANO
FABIO TANTURRI (President Substitute)
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
