**Math 251 Syllabus (Abstract Algebra I) Fall 2017**

**MWF 2:20-3:10pm in 107 Perkins**

Office hours:

Or send me your question by email. No question is too small!

Reach me at:

Course website: http://www.cems.uvm.edu.~sands/m251f17/index.htm

**Goals:** Can we identify certain powerful algebraic principles that
pervade
higher mathematics? Can we hone our skills at using
these
general principles so as to become better analytical thinkers and
problem-solvers?
Absolutely! That is just what we aim to do in this course, emphasizing
the basic concepts of abstract algebra as presented in chapters 1-5 and
7 in our textbook.

Prerequisites: Students are expected to have a solid knowledge of linear algebra and experience in writing proofs.

**Text:** *Abstract Algebra, Third Edition,* By Dummit and
Foote. The library has many good supplementary texts (see Resources).

**Homework:** I will assign weekly
homework
for your fun and profit. Problem sets will
normally be due on Wednesday at the beginning of class. Your solutions
should be complete, concise, grammatical, logical, written on your own,
and in your own words. Use of help sites or solutions written by others is not allowed, and is a violation of academic integrity.
Consultation with other students or the instructor is allowed after
attempting the problems on your own, but writing of solutions should
always be done individually. Give proper credit when using the ideas of
others. Homework assignments will include some extra problems to be
done by those taking the course for graduate credit.

**Quizzes: **To help you learn the material effectively, an
online multiple choice quiz will be posted on Blackboard after Wednesday's
class and after Friday's class, covering the material presented in
class since the previous quiz and due before the
next class.

**Tests: **There will be tests in class on Wednesday October
4 (chapters 0 and 1) , Wednesday November 1 (chapters 2 and 3),
and Wednesday November 29 (chapters 4 and 5) . Please warn me at least
one week in
advance
if you must miss a test.

**Final Exam:** Comprehensive exam, on Monday, December 11 at 4:30-7:15pm in 107 Perkins.

**Course Grades:** Each of the 3 tests will be worth 12% of your
grade and the final exam will be worth 24%. Online quizzes will count for
10%. The remaining 30% of your grade will be based on
your
homework. Letter grades will be assigned in accordance with the
traditional
standards for this course. In particular, a numerical grade of 88% will
translate into at least an A-, 76% will translate into at least a B-,
64%
will translate into at least a C-, etc.

**Expectations:** Students are expected to spend at least 6 hours per week on coursework outside of class. The UVM Code of Academic Integrity and Classroom Code of Conduct
is in effect, as always. In particular, always be sure to
give proper attribution for work or ideas that are not your own. All coursework should be presented clearly and
completely. Expectations
for homework are spelled out in detail on the homework web page.
Students must respect the thoughts and ideas of both the
instructor and the other students. Such respect calls for good
attendance, promptness, and making every effort to avoid interrupting
class time. Please turn off all personal communication and media
devices during the class.

**Special Needs:** If you are eligible and need an accomodation,
please inform me and provide appropriate documentation during the first
two weeks of class so that this can be implemented.