Week 1: Review of linear algebra. Groups. Examples of groups.
Basic properties and constructions.
This video:
Administrative notes; Generalities on groups; Symmetric groups on n letters; A stabilizer subgroup; The subgroups of Z; Cyclic subgroups gen by element
Notes for this lecture: http://www.extension.harvard.edu/sites/default/files/openlearning/math222/files/notes/L2-N.pdf
These lectures are from the Harvard Faculty of Arts and Sciences course Mathematics 122, which was offered as an online course at the Extension School.
View Complete course (Syllabus, Notes, Problem Sets, etc) at: http://www.extension.harvard.edu/open-learning-initiative/abstract-algebra