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:
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.
Calendar.
| 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 |