First cycle
degree courses
Second cycle
degree courses
Single cycle
degree courses
School of Science
MATHEMATICS
Course unit
GEOMETRY 1
SC01122868, A.A. 2018/19

Information concerning the students who enrolled in A.Y. 2018/19

Information on the course unit
Degree course First cycle degree in
MATHEMATICS
SC1159, Degree course structure A.Y. 2008/09, A.Y. 2018/19
N0
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Number of ECTS credits allocated 14.0
Type of assessment Mark
Course unit English denomination GEOMETRY 1
Website of the academic structure http://matematica.scienze.unipd.it/2018/laurea
Department of reference Department of Mathematics
Mandatory attendance No
Language of instruction Italian
Branch PADOVA
Single Course unit The Course unit can be attended under the option Single Course unit attendance
Optional Course unit The Course unit can be chosen as Optional Course unit

Lecturers
Teacher in charge MAURIZIO CANDILERA MAT/03
Other lecturers LUISA FIOROT MAT/03

ECTS: details
Type Scientific-Disciplinary Sector Credits allocated
Basic courses MAT/03 Geometry 14.0

Course unit organization
Period Annual
Year 1st Year
Teaching method frontal

Type of hours Credits Teaching
hours
Hours of
Individual study
Shifts
Practice 6.0 60 90.0 No turn
Lecture 8.0 64 136.0 No turn

Calendar
Start of activities 01/10/2018
End of activities 28/06/2019

Examination board
Examination board not defined

Syllabus
Prerequisites: None
Target skills and knowledge: Fundamental notions of linear algebra and their applications to geometry, with particular attention to the study of vector spaces and linear functions.
Solving linear systems, application of determinants and determination of the Jordan form for the matrix of an endomorphism.
Linear subvarieties and their properties in affine and euclidean spaces.
Volume of simplices in euclidean space.
Spectral theorem (for symmetric and normal operators) and its applications.
Euler' classification of isometries in the plane and in tridimensional space.
Examination methods: Written test consisting in resolution of exercises and easy problems, followed by an oral assessment.
Course unit contents: Introduction to linear algebra and its applications to the geometry of finite dimensional affine and euclidean spaces.
Textbooks (and optional supplementary readings)
  • Bertapelle A, Candilera M, Algebra lineare e primi elementi di Geometria. Milano: McGraw-Hill, 2011. Cerca nel catalogo
  • Kostrikin A I, Manin Yu I, Linear Algebra and Geometry. Moscow, London, New York: Gordon and Breach, 1989. Cerca nel catalogo
  • Hoffmann K, Kunze R, Linear Algebra (2nd Edition). --: Prentice Hall, 1971. (la parte di Geometria รจ carente)

Innovative teaching methods: Teaching and learning strategies
  • Problem based learning