MS-C1530 - Curves and Surfaces, Lecture, 14.9.2021-22.10.2021

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Please note! Course description is confirmed for two academic years, which means that in general, e.g. Learning outcomes, assessment methods and key content stays unchanged. However, via course syllabus, it is possible to specify or change the course execution in each realization of the course, such as how the contact sessions are organized, assessment methods weighted or materials used.

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
Prerequisites

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.

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Aalto University Code of Academic Integrity and Handling Violations Thereof