189-235A: Algebra 1
Course blog ---------
Sample midterm ---------
Professor: Henri Darmon
Classes: MWF 11:35-12:25. in McDonald-Harrington G-10
Dylan Atwell-Duval. F 13:05-14:25 in TBA.
Bahare Mirza. W 13:05-14:25 in TBA.
Jason Polak. Th 14:35-15:55 in TBA.
Darmon F 12:35-2:25, in Burnside Hall 1111,
or by appointment.
See also the
Math Help Desk in BH911
Mondays to Fridays from noon to 5:00pm.
This is a valuable ressource if you need extra
help on the material or assignments, and you are strongly
encouraged to make use of it.
I will be following the excellent (and free!)
class notes that Eyal Goren has
developped for this course in 2009.
If you feel the need for a more formal textbook,
the textbook by
Dummit and Foote is highly recommended,
as well as the somewhat more advanced text by
Michael Artin; but be warned that both will set you back by over 100$.
In a more challenging vein, I also
highly recommend the first 60 pages of the textbook
d'analyse et d'algèbre (et de théorie des nombres) by Pierre Colmez.
It covers a lot more ground than we will in this course,
and would be equally appropriate for the analysis courses that you might be
It is beautifully written and belongs on the bookshelf of any
mathematics student who is serious about her or his subject (and not
afraid of reading about math in French...)
This course will cover the basics of Abstract Algebra;
the guiding theme is the notion of abstract algebraic structures
and the morphisms between them,
of which rings and groups
(together with the underlying notions of homomorphisms)
are the simplest prototypes.
Key topics to be covered will include:
the basic properties of the integers,
group actions on sets,
will be handed out every other Monday, so there will be a total of
6 assignments in the semester.
Grading Scheme : There will be
two possible schemes,
and I will take the maximum of those.
1. 20% Weekly assignments, 30% Midterm, 50% Final.
2. 20% Weekly assignments, 80% Final.
In particular, not handing in assignments and going for 100% final
is not an option.
The midterm exam will be held, in class,
on Wednesday, October 16 at the usual time (11:35-12:25).
Here is a copy of the midterm exam.
The average mark on the midterm was
77%, counting those who did not write the
exam and were assigned a mark of 0.
The obligatory statements
McGill University values academic integrity. Therefore, all students
must understand the meaning and consequences of cheating, plagiarism and
other academic offences under the Code of Student Conduct and
Disciplinary Procedures (see www.mcgill.ca/integrity for more
In accord with McGill University's Charter of
Students' Rights, students in this course have the right to
submit in English or in French any written work that is to be graded.
In the event of extraordinary circumstances beyond the University's
control, the content and/or evaluation scheme in this course is subject