189-457B: Honors Algebra 4
-------------- Course blog --------- Assignments ----------------
Professor: Henri Darmon
Marker:
Classes: MWF 9:35-10:25 AM, in BH 920
Office Hours: MW 10:30-11:30 or by appointment, in Burnside Hall 1111.
Tutorials:
There will be no tutorials for this
course. However, there is a
Math Help Desk in BH911
operating
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
encouraged to make use of it.
Main text:
Although my course notes may occasionally deviate somewhat from these,
I recommend the following as good secondary references for the course:
Optional Textbooks:
As for honors algebra 3, the classic
textbook by
Dummit and Foote comes highly recommended, if you do not balk at the
hefty price tag.
In a more challenging vein, I also
highly recommend the textbook
Eléments
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
taking concurrently.
It is beautifully written and belongs on the bookshelf of any
mathematics student who is passionate about the subject.
Syllabus:
Rudiments of the theory of modules over a ring.
Finitely generated modules over a PID.
Introduction to Galois theory.
Assignments:
Assignments
are to be turned in on Wednesdays and
will be returned, graded, the following Monday. There will be around
6 assignments in
all during the semester, which will be assigned every two weeks.
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.
Midterm Exam:. The midterm exam will be held, in class,
on Friday, March 10 at the usual time (9:30-10:30).
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
information).
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
to change.