Studying at the University of Verona
Here you can find information on the organisational aspects of the Programme, lecture timetables, learning activities and useful contact details for your time at the University, from enrolment to graduation.
Study Plan
The Study Plan includes all modules, teaching and learning activities that each student will need to undertake during their time at the University.
Please select your Study Plan based on your enrollment year.
1° Year
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2° Year activated in the A.Y. 2023/2024
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3° Year activated in the A.Y. 2024/2025
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Legend | Type of training activity (TTA)
TAF (Type of Educational Activity) All courses and activities are classified into different types of educational activities, indicated by a letter.
Geometry (2023/2024)
Teaching code
4S00247
Teacher
Coordinator
Credits
6
Language
Italian
Scientific Disciplinary Sector (SSD)
MAT/03 - GEOMETRY
Period
Semester 1 dal Oct 2, 2023 al Jan 26, 2024.
Courses Single
Authorized
Learning objectives
The course aims to provide students with the basic concepts of the general topology and the basics of differential geometry of curves and surfaces embedded in an Euclidean space. At the end of the course, the student has a general and complete vision of topological properties in a wider context than that of real Euclidean spaces. He/She be able to recognize and compute the main geometrical characteristics of a curve and of a surface (Frenet frames, curvatures, fundamental quadratic forms ...). He/She also be able to produce rigorous arguments and proofs on these topics and he/she can read papers and advanced texts on Topology and Differential Geometry.
Prerequisites and basic notions
Linear algebra, affine and projective geometry. Differential calculus in one and more variables.
Program
General Topology
Differential geometry of curves
Differential geometry of surfaces
Bibliography
Didactic methods
Lectures and exercise sessions.
Learning assessment procedures
Written test, compulsory, 150min
Oral test, optional or upon request of the teacher
Evaluation criteria
To pass the exam, students must demonstrate that they:
- know and have understood the fundamental concepts of general topology ;
- know and have understood the fundamental concepts of the local theory of curves and surfaces;
- have adequate analysis and synthesis skills and abstraction;
- knowing how to apply this knowledge to solve problems and exercises, knowing how to argue their reasoning with mathematical rigor.
Criteria for the composition of the final grade
Written test maximum score 30/30. The oral test, if passed, can add up to 3 points.
Exam language
Italiano