First cycle
degree courses
Second cycle
degree courses
Single cycle
degree courses
School of Engineering
TECHNIQUES AND MANAGEMENT OF BUILDING AND LAND
Course unit
ALGEBRA AND GEOMETRY
INP8083358, A.A. 2019/20

Information concerning the students who enrolled in A.Y. 2019/20

Information on the course unit
Degree course First cycle degree in
TECHNIQUES AND MANAGEMENT OF BUILDING AND LAND
IN2452, Degree course structure A.Y. 2018/19, A.Y. 2019/20
N0
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Number of ECTS credits allocated 6.0
Type of assessment Mark
Course unit English denomination ALGEBRA AND GEOMETRY
Department of reference Department of Civil, Environmental and Architectural Engineering
E-Learning website https://elearning.unipd.it/dicea/course/view.php?idnumber=2019-IN2452-000ZZ-2019-INP8083358-N0
Mandatory attendance No
Language of instruction Italian
Branch PADOVA
Single Course unit The Course unit CANNOT 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 VALENTINA GRAZIAN

ECTS: details
Type Scientific-Disciplinary Sector Credits allocated
Basic courses MAT/03 Geometry 6.0

Course unit organization
Period First semester
Year 1st Year
Teaching method frontal

Type of hours Credits Teaching
hours
Hours of
Individual study
Shifts
Lecture 6.0 48 102.0 No turn

Calendar
Start of activities 30/09/2019
End of activities 18/01/2020
Show course schedule 2019/20 Reg.2018 course timetable

Examination board
Board From To Members of the board
1 2018 01/10/2018 30/11/2019 BONATTO MARCO (Presidente)
BENVEGNU' ALBERTO (Membro Effettivo)

Syllabus
Prerequisites: High School level Mathematical skills.
Target skills and knowledge: The student will learn new techniques in linear algebra and geometry, that will be essential for future academic studies. The topics covered in this course will give the tools to solve algebraic and geometric problems that can be described by linear models (in particular the solution of linear systems using the associated matrix and problems on linear subvarieties in the Euclidean space).
Examination methods: Written exam.
Assessment criteria: Correctness of the solution presented. Sufficient motivation of the solutions presented. Clarity.
Course unit contents: Introduction to Linear algebra and its principal application to analytic geometry.

Extended Program:

Vector spaces: subspaces, linear combination, basis and dimension. Grasmann formula.

Matrices and linear systems: matrix computation, rank of a matrix, linear systems, Capelli's Theorem, Gauss' Algorithm.

Linear maps: linear maps and matrices, kernel and Dimension Theorem, eigenvalues and eigenvectors, diagonalization.

Metric structures: scalar and cross product, orthogonality, distance and Euclidean norm, linear subvarieties of R^3.
Planned learning activities and teaching methods: Frontal lecture. The students will be given exercises to practice.
Additional notes about suggested reading: The students will find the lecture notes, proposed exercises for self evaluation and exams examples in the moodle of the module.
Textbooks (and optional supplementary readings)
  • Novelli, Carla, Esercizi di algebra lineare e geometria. Bologna: Esculapio, 2016. Cerca nel catalogo

Innovative teaching methods: Teaching and learning strategies
  • Lecturing
  • Problem based learning
  • Problem solving
  • Loading of files and pages (web pages, Moodle, ...)

Innovative teaching methods: Software or applications used
  • Moodle (files, quizzes, workshops, ...)
  • One Note (digital ink)