Week 2: Permutations. Cosets, Z/nZ. Topics in this video: Review, kernels, normality; Examples; Centers and inner autos
Algebra is the language of modern mathematics. This course introduces students to that language through a study of groups, group actions, vector spaces, linear algebra, and the theory of fields. The recorded lectures are from the Harvard Faculty of Arts and Sciences course Mathematics 122, which was offered as an online course at the Extension School (E-222).