LEARNING OUTCOMES
After passing the course the student will be able to
- recognize the need of basic geometric concepts on their own field of expertise
- distinguish between internal and external properties of geometric objects
- share basic skills for calculating local geometric quantities
- deduce global conclusions from local quantities
Credits: 5
Schedule: 14.09.2021 - 22.10.2021
Teacher in charge (valid for whole curriculum period):
Teacher in charge (applies in this implementation): Kirsi Peltonen, Kim Myyryläinen
Contact information for the course (applies in this implementation):
CEFR level (valid for whole curriculum period):
Language of instruction and studies (applies in this implementation):
Teaching language: English. Languages of study attainment: English
CONTENT, ASSESSMENT AND WORKLOAD
Content
valid for whole curriculum period:
Curves in the plane and space, curvature and torsion of a curve, global theory of curves. Surfaces in the Euclidean space, first and second fundamental form, curvature of a surface, Gauss map. Gauss-Bonnet theorem for surfaces.
Assessment Methods and Criteria
valid for whole curriculum period:
Lectures, exercises.
Workload
valid for whole curriculum period:
24+12 (4+2).
DETAILS
Substitutes for Courses
valid for whole curriculum period:
Prerequisites
valid for whole curriculum period:
FURTHER INFORMATION
Further Information
valid for whole curriculum period:
Teaching Period:
(2020, 2021) - No teaching
2021-2022 Autumn I
Course Homepage: https://mycourses.aalto.fi/course/search.php?search=MS-C1530
Registration for Courses: In the academic year 2021-2022, registration for courses will take place on Sisu (sisu.aalto.fi) instead of WebOodi.