The Course |
|||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|
|
|||||||||||
TextbookGroups and Symmetry, by M.A. Armstrong. |
Grades
|
||||||||||
Honor CodeAll students of the University of Colorado at Boulder are responsible for
knowing and adhering to the academic integrity policy of this institution.
Violations of this policy may include: cheating, plagiarism, aid of academic
dishonesty, fabrication, lying, bribery, and threatening behavior. All
incidents of academic misconduct shall be reported to the Honor Code Council
(honor@colorado.edu; 303-725-2273). Students who are found to be in violation
of the academic integrity policy will be subject to both academic sanctions
from the faculty member and non-academic sanctions (including but not limited
to university probation, suspension, or expulsion). Other information on the
Honor Code can be found at |
|||||||||||
(Very) Tentative ScheduleWeek 1 (August 22 - August 26). Introduction and the basic axioms Week 2 (August 29 - September 2). Examples and relations Week 3 (September 7 - September 9). Generators and the symmetric group Week 4 (September 12 - September 16). The symmetric group and isomorphisms Week 5 (September 19 - September 23). Cayley's Theorem and Products Week 6 (September 26 - September 30). Cayley's Theorem and Midterm 1 Week 7 (October 3 - October 7). Matrix groups,. Project 1 due. Week 8 (October 10 - October 14). Lagrange's Theorem, Partitions, and Conjugacy Week 9 (October 17 - October 21). Conjugacy, Cauchy's Theorem, and homomorphisms Week 10 (October 24 - October 28). Quotients groups and homomorphisms Week 11 (October 31- November 4). Isomorphism Theorems. Week 12 (November 7 - November 11). Group actions. Project 2 due. Week 13 (November 14 - November 18). Sylow Theory. Midterm 2 due. Week -- (November 21 - November 25). Fall break Week 14 (November 28 - December 2). Sylow Theory. Week 15 (December 5 - December 9). Applications. Project 3 due. Finals Week (December 10 - December 15). Final Dec 14, 1:30-4pm |