ITA | ENG
B015801 - GEOMETRY
Main information
Teaching Language
Course Content
Suggested readings
Learning Objectives
Prerequisites
Teaching Methods
Further information
Type of Assessment
Course program
Academic Year 2015-16
Course year
First year - First Semester
Belonging Department
Industrial Engineering (DIEF)
Course Type
Single education field course
Scientific Area
MAT/03 - GEOMETRY
Credits
6
Teaching Hours
54
Teaching Term
21/09/2015 ⇒ 18/12/2015
Attendance required
No
Type of Evaluation
Final Grade
Course Content
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Course program
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Lectureship
- Last names A-L PAOLETTI RAFFAELLA
- Last names M-Z VEZZOSI GABRIELE
Teaching Language - Last names A-L
Italian
Course Content - Last names A-L
Elementary geometry in the plane and in the space.
Suggested readings - Last names A-L (Search our library's catalogue)
"Algebra lineare e geometria analitica" - G.Anichini e G.Conti, Ed. Pearson
"Algebra lineare e geometria analitica - Eserciziario" -
G.Anichini, G.Conti e R.Paoletti, Ed. Pearson
"Algebra lineare e geometria analitica - Eserciziario" -
G.Anichini, G.Conti e R.Paoletti, Ed. Pearson
Learning Objectives - Last names A-L
Basic notions about analytic geometry (geometric interpretation of equations) and linear algebre (linear sistems, linearity, eigenvectors).
Prerequisites - Last names A-L
Elementary geometry in the plane and n the space. Algebraic calculus.
Teaching Methods - Last names A-L
Class teaching (lessons and exercises) according to the given timetable.
Further information - Last names A-L
See the personal web page.
Type of Assessment - Last names A-L
Written test and eventually oral examination.
Course program - Last names A-L
Free and applied vectors. Sum, multiplication with numbers and related
properties. Linear dependence, parallelism and complanarity. Generated
subspaces and bases. Scalar, wedge and mixed products. Ortogonal
projections.
The vector spaces R^2, R^3, R^n.
Matrices: elementary operations and their properties. Vector space of
matrices.
Special matrices. Determinant and invertible matrices.
Linear systems: generality, structure of the space of solutions. Gauss
elimination method.
Analytic geometry on the plane and in the space: straight lines and planes;
parallelism and orthogonality conditions; relative positions. Distances.
Linear applications: definition, kernel and image; associated matrix.
Eigenvalues and eigenvectors. Diagonalization of linear applications.
Conics and quadrics.
properties. Linear dependence, parallelism and complanarity. Generated
subspaces and bases. Scalar, wedge and mixed products. Ortogonal
projections.
The vector spaces R^2, R^3, R^n.
Matrices: elementary operations and their properties. Vector space of
matrices.
Special matrices. Determinant and invertible matrices.
Linear systems: generality, structure of the space of solutions. Gauss
elimination method.
Analytic geometry on the plane and in the space: straight lines and planes;
parallelism and orthogonality conditions; relative positions. Distances.
Linear applications: definition, kernel and image; associated matrix.
Eigenvalues and eigenvectors. Diagonalization of linear applications.
Conics and quadrics.