Algebra I, MATH 235
Instructor: Prof. Eyal Goren
Office: Burnside Hall 1108
Office hours: MWF, 14:30 - 15:30
Lecture hours: MWF, 13:35 - 14:25, Maass 112
TA Office hours and tutorial sessions:
THIS PAGE WILL NOT BE UPDATED ANYMORE.
REFER TO MYCOURSES FOR NEW ASSIGNMENTS, SOLUTIONS TO ASSIGNMENTS
AND OTHER POSTS. AS WELL AS FOR THE LATEST VERSION OF THE NOTES.
- Bruno Joyal, Monday 15:00 - 16:00, Friday, 11:00 to 12:00 (in
BH 1031). Tutorial held on Friday, BURN 1B36, 11:35-12:55.
- Jason Polak, Thursday 1:30 - 2:30, Friday 3:30 - 4:30 (in
BURN 1019) Toutorial held Thursday, BURN 1B36,
- Alice Pozzi, Tuesday, 10:30-11:30 and Friday, 11:30-12:30 (in
BH 1008). Toutorial held Tuesday, BURN 1B36, 11:35-12:55
This page only gives the very basic information concerning the
course. Discussion threads, corrections to assignments and
clarifications for lectures will be posted on MyCourses.
Syllabus (calendar description): Sets, functions and
relations. Methods of proof. Complex numbers. Divisibility theory
for integers and modular arithmetic. Divisibility theory for
polynomials. Rings, ideals and quotient rings. Fields and
construction of fields from polynomial rings. Groups, subgroups and
cosets; group actions on sets.
Prerequisites: MATH 133 or equivalent.
Text book: The official textbook for the course are my course
notes (free :-) ). They will be updated and expanded during the term
(but not in any substantial way; essentially adding examples,
updates, perhaps some material here and there, correcting typos and
so on). Updated versions appear on mycourses. There are scores of
various textbooks in the library that you can use, but that
shouldn't be necessary and you should be aware that there could be
some differences in terminology, or the logical dependency of
topics, and the course notes are considered the official version. I
will follow my course notes closely (what's the point, otherwise?!)
Assignments:Weekly assignments. Published every Monday and
handed in every Monday by 16:00 (with some exceptions). For a total
of about 10 assignments.
Midterm: October 27, 18:00 - 19:30 in ADAMS AUD and MNI
TIMMINS. The scope of the material will be determined later.
Final: Date to be determined.
Calculation of final grade: The better of two options. Option
1: 10% assignments, 20% midterm, 70% final exam. Option 2: 100%
final exam. You will automatically get the better of the two.
Advice: Although in theory you can dispense with handing in
assignments and writing the midterm and still get 100% for the
course based on the final exam only, it is not a good strategy. In
almost every case students that handed in good course-work and had
studied well for the midterm got a higher grade using Option 1 than
using Option 2. This was true for the very good students, often
giving them an A instead of a lower grade, as well as for the weaker
students - in many cases granting a passing grade instead of failing
The assignments are the only way to make sure you
understand the material at the level that we expect of you and to
make sure you are not falling behind. Copying solutions of
assignments from friends, webpages and text books, is not only
considered cheating, but is depriving you of the best method to
check your understanding and discover your gaps and misconception
(yes, by getting a lower grade).
Studying: I recommend finding a partner to study with. It's
important to find a suitable partner based on being of equal
strength. Discussing math as equals is not only the best way to
understand the material, it's also fun! I also recommend making full
use of the resources offered to you: a course blog hosted on
mycourses, my and the TAs' office hours, the course notes and
additional textbooks that you find useful, the math help center on
the 9th floor.
Academic integrity: 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).
Submitting work: 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
Syllabus and Grade Calculation: In the event of extraordinary
circumstances beyond the University's control, the content and/or
evaluation scheme in this course is subject to change.