Unit GEOMETRY

Course
Primary teacher education
Study-unit Code
A000641
Curriculum
In all curricula
Teacher
Daniele Bartoli
CFU
7
Course Regulation
Coorte 2019
Offered
2022/23
Type of study-unit
Obbligatorio (Required)
Type of learning activities
Attività formativa integrata

GEOMETRY

Code A000643
CFU 6
Teacher Daniele Bartoli
Teachers
  • Daniele Bartoli
Hours
  • 36 ore - Daniele Bartoli
Learning activities Caratterizzante
Area Discipline matematiche
Academic discipline MAT/03
Type of study-unit Obbligatorio (Required)
Language of instruction Italian
Contents Hilbert's approach to Geometry. Resolution of basic exercises.
Reference texts David Hilbert,
Fondamenti della Geometria.
Franco Angeli Editore.
Educational objectives The course aims to provide an adequate theoretical background in geometry and also to solve basic exercises.
Prerequisites Mastery of the basic tools of logic and mathematics including:
- elementary algebraic calculation: powers, absolute value, polynomials, equations and inequalities of 1st and 2nd degree;
- basic notions of set theory
Teaching methods Face-to-faace lessons.
Other information Contact directly the teacher for specific questions.
Learning verification modality The verification method consists of an exam (written /oral) with a score of thirty and possible laude.

The test consists of two parts: first the theoretical background is checked and further basic numerical exercises must be solved by the students.
Extended program Axioms of Hilbertian geometry
- axioms of connection
-Ordering axioms
- axioms of congruence
- axiom of parallels
- axioms of continuity
Notes on non-contradictory and independence of axioms
Congruence and similitude theorems
Pascal's theorem
Desargues theorem
Equivalence of plane figures and area calculation
Geometric constructions with ruler and compass
Basics of solid geometry

GEOMETRY LAB

Code A000642
CFU 1
Teacher Daniele Bartoli
Teachers
  • Daniele Bartoli
Hours
  • 15 ore - Daniele Bartoli
Learning activities Caratterizzante
Area Discipline matematiche
Academic discipline MAT/03
Type of study-unit Obbligatorio (Required)
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