GEOMETRY AND ALGEBRA
Academic year and teacher
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- Versione italiana
- Academic year
- 2022/2023
- Teacher
- MASSIMILIANO MELLA
- Credits
- 9
- Didactic period
- Primo semestre (primi anni)
- SSD
- MAT/03
Training objectives
- This is an introductory course in linear algebra and affine geometry.
The student will learn to:
- solve systems of linear equations;
- use vectors, arrays and linear maps;
- diagonalize maps and matrices;
-study linear spaces in the affine and Euclidean space. Prerequisites
- Basic Set Theory and Logic.
Course programme
- It is a 90h course together with exercise sessions.
The main topics are:
Introduction and applications (6 h);
Vector spaces (34 h);
Affine and Euclidean geometry of the space (25 h);
Special matrices and quadratic forms (25 h). Didactic methods
- Lectures and exercise sessions.
Check the GC for details on lectures
GC code: r2movdn Learning assessment procedures
- The exam lasts 1h and has 8 multiple choices questions (3 points each) and 1 open question (at most 9 points).
No penalities for wrong answers.
To pass the exam the student has to:
-answer correctly to at least 4 multiple choices
-score at least 4 in the open question
-gather an overall of at least 18 points.
To get a marking above 25 the student has to do an oral exam, based on exercises.
The teacher can ask for an oral exam. Reference texts
- Lecture notes
A good reference book is
Marco Abate Chiara De Fabritiis
"Geometria analitica con elementi di algebra lineare"
Mc Graw Hill Education
