Syllabus

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: 05.09.2023 - 20.10.2023

Teacher in charge (valid for whole curriculum period):

Teacher in charge (applies in this implementation): Kirsi Peltonen

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:

  Substitutes for Courses

Prerequisites

• valid for whole curriculum period:

  Prerequisites

FURTHER INFORMATION

Further Information

• valid for whole curriculum period:

  Teaching Language : English

  Teaching Period : 2022-2023 No teaching
  2023-2024 Autumn I

  Enrollment :

  Registration takes place in Sisu (sisu.aalto.fi).

Description