Algebra I: Groups and Vector Spaces

Math 122 - Harvard University - Fall 2002
Tu Th 10:00-11:30, Science Center 309
Instructor: Curtis T McMullen

Course Assistants:
Jayce Getz (
Peter Anderegg (

Required Text: Artin, Algebra, , Prentice-Hall 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 1-7 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.

17 Sep (Tu) First class
31 Oct (Th) Midterm (tentative)
28 Nov (Th) Thanksgiving
17 Dec (Tu) Last class
8-10 Jan (W-F) Take-home final
2-12 Jan (Th-Su) Reading period

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