Course Details for A.Y. 2018/2019
Name:
Metodi analitici applicati alla geometria / Analytic methods applied to geometry
Basic information
Credits:
: Bachelor Degree in Mathematics 6 CFU (b)
Degree(s):
Bachelor Degree in Mathematics 3^{rd} anno curriculum Generale Elective
Language:
Italian
Course Objectives
We foresee that the student will be able to deal with topology basic notions, that are necessary
during the B.D. in mathematics.
Moreover, after having learned a bunch of notions about curves and surfaces from
the intrinsic and extrinsic viewpoint, the student will be able to solve problems about
these topics.
Learning Outcomes (Dublin Descriptors)
On successful completion of this course, the student should

The student should have deep knowledge of the theory of curve and surfaces
immersed in R3 and good knowledge of the basic notions of intrinsic geometry of surfaces.
Moreover the student should acquire a sound knowledge of all basic notions and concepts of general topology.

The student should be able to solve problems about the theory of curves and surfaces immersed in R3 and some problem about intrinsic geometry of surfaces
Moreover the student should be able to recognize when the acquired notions of general topology are necessary to the comprehension of other
topics.

The student should be able to understand problems of curves and surfaces theory and topology and recognize the best method to solve them.

The student should be able to explain the statements and the proof s of the theorems about curves, surfaces and topology

The student should have acquired the ability of reading and understanding more advanced intrinsic theory of surfaces and topology.
Prerequisites and Learning Activities
first year courses of B.D. in mathematics
Assessment Methods and Criteria
The exam is as follows: first a written exam and,
if it is good, the student is allowed to participate to an oral exam.
Course page updates
This course page is available (with possible updates) also for the following academic years:
To read the current information on this course, if it is still available, go to the university course catalogue .
Course information last updated on: 23 settembre 2018, 17:34