Algebra I: Groups and Vector SpacesMath 122  Harvard University  Fall 2002 Tu Th 10:0011:30, Science Center 309 Course Assistants: Required Text: Artin, Algebra, , PrenticeHall 1991 Prerequisites: Math 21b and experience writing proofs (Math 101, 121, or the equivalent). Intended for undergraduate math majors. Topics. This course provides an introduction to groups, fields, vector spaces, and bilinear forms from the point of view of axiomatic algebra. The emphasis is on finite groups and groups of linear transformations. Topics will be taken from Artin, Chapters 17 and 10. Reading and Lectures. Please read the book before coming to class! Students are responsible for all topics covered in the readings and lectures. Lectures may go beyond the reading, and not every topic in the reading will be covered in class. Grades. Grades will be based on quizzes and weekly homework (40%), the midterm (20%) and the final (40%). Homework. Homework will be assigned every week. Late homework will not be accepted. Collaboration between students is encouraged, but you must write your own solutions, understand them and give credit to your collaborators. Calendar.
