Natural Science 0213 - Symmetries of Nature: An Introduction to Group Theory

Nature seems abundant in symmetry, manifesting not only in spatial symmetries of living beings, but also in visual art, music, and even social interactions (do to others as you would.). In an intuitive, hands-on approach this course will introduce and develop the key ideas of group theory, a branch of mathematics used for the study of symmetry. It will cover the core definitions (subgroups, quotient groups, cosets, isomorphisms, and homomorphisms), and a detailed study of certain types of groups (finite groups, cyclic groups, permutation groups, and abelian groups). Interweaving theory and application, we will understand the value of group theory in the fields of chemistry, physics, and biology, as well as its place in music and art. The course is suited both to students with concentrations in math and physical sciences, and to those who want to understand symmetry and its applications in an accessible, yet formal way. Key words: math, symmetry, science

This course includes both in person and remote elements but can accommodate fully remote students. Students should generally expect to spend 6-8 hours a week on work outside of class time.