MATH 3158

Rings and Fields [Honours]

Winter 2007

Instructor: Dr. Inna Bumagin

Contact: Office: 4370 HP, Phone: (613)520 -2600, ext. 2165, Email: inna_bumagin@carleton.ca

Website: http://math.carleton.ca/~bumagin/

Office hours: Tuesday 10:00 – 11:00, Thursday 15:00– 16:00. If the hours are inconvenient, please email me to schedule an appointment.

Text: Introduction to Abstract Algebra (2^nd Edition), by W.Keith Nicholson.

Approximate Course Description: Rings, Polynomials, Euclidean domains, Gaussian integers, Fields.

The course will cover sections 3.1-3.4, 4.1-4.3 and 6.1-6.5

Prerequisites: MATH 2100 or permission of the School. MATH 3106 is strongly recommended.

Lectures: Tuesday and Thursday 11:30 - 13:00, room 406 SA. Lectures start on January 4 (Thursday) and end on April 3 (Tuesday).

Tutorials: Wednesday, 13:30 - 14:30, room 403 SA, begin on January 17.  Tutorials are mandatory.

TA: TBA

Evaluation: Your final grade for the course will consist of
(1) Term Mark 40% (30% for tests, 10% for homework and participation)
(2) Final Examination 60%.

Tests
There will be two 50-minute tests written during tutorials. They are tentatively set for Wednesday February 7 and Wednesday March 14. There are no make-up tests. In case when a student misses a test due to illness (supported by a doctor note), jury duty or extreme personal misfortune, the term mark may be pro-rated. Please see me should such a case arise.

Homework

There will be up to seven assignments due at the beginning of tutorials. Occasionally, in class and in tutorials there will be short quizzes. Marks for both assignments and quizzes count towards the final mark.

Final Examination
This is a 3- hour exam scheduled by the University. The exam is taking place during the period of April 9 - 28, 2006. It is your responsibility to be available at the time of the examination. It is your responsibility to find out the correct date and time of the exam and the room where it takes place. Students are allowed to see their exam papers before May 31, only.

Note: you must obtain at least 50% of total and at least 40% of the final exam mark to pass the course.

Withdrawal
The last day for withdrawal from the course is March 9, 2006.

Academic accommodations: Students with disabilities requiring academic accommodations in this course are encouraged to contact the Paul Menton Centre (500 University Centre, phone 520-6608) to complete the necessary forms. Please note that the deadline for submitting completed forms to the Centre is March 9, 2006. Students who would like to request academic accommodations due to disabilities, religious obligations or pregnancy should inform the instructor as soon as possible.

Notes: The field of fractions and the prime subfield of a field

Finite Abelian Groups