MS-C1001 - Shapes in Action, Lecture, 6.9.2024-11.10.2024

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

Students will learn to recognize and analyze symmetric patterns and structures observed in our environment and in their own professional surroundings. Mathematically rigorous treatment is used to illuminate elegant structures and shapes from an intuitive perspective and to provide the students with a widened scope of possibilities especially within practices involving modular repetition. By the end of the course, the students will be able to detect aspects of their own profession that can be presented, investigated, and developed using the language of modern mathematics.

Credits: 5

Schedule: 06.09.2024 - 11.10.2024

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:

    Topics discussed include planar, spherical and hyperbolic 2D symmetries, Kleinian groups, conformal dynamics, 3D geometries, manifolds, orbifolds and fractals. This course provides views on research level differential geometry to a broad audience. During the course, we will consider methods offered by various fields of mathematics that meet needs in art and architecture. Through concrete projects, we will encounter different kinds of phenomena and interpretations of these phenomena provided by both classical and modern mathematics.

Assessment Methods and Criteria

  • valid for whole curriculum period:

    Students must participate in 80% of the contact teaching. Exercises, workshops, learning diary.

Workload

  • valid for whole curriculum period:

    Contact teaching: 6h/week x 6 weeks=36h

    Individual/group work: 87h

DETAILS

Study Material

  • valid for whole curriculum period:

    To be determined at the beginning of the course.

Substitutes for Courses
Prerequisites

FURTHER INFORMATION

Further Information

  • valid for whole curriculum period:

    Teaching Language: English

    Teaching Period: 2024-2025 Autumn I
    2025-2026 No teaching

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