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: 06.09.2022 - 14.10.2022
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
Substitutes for Courses
valid for whole curriculum period:
Prerequisites
valid for whole curriculum period:
FURTHER INFORMATION
Further Information
valid for whole curriculum period:
Teaching Language : English
Teaching Period : 2022-2023 Autumn I
2023-2024 No teachingEnrollment :
Registration takes place in Sisu (sisu.aalto.fi).