General Information
Place and time:TuTh 11:30am-12:50pm, Physics P130
Professor: Alexander Kirillov, <kirillov at math.stonybrook.edu>
Office hours: Th 2-3:30; Wed 9-10:30 am, in Math 5-107
Grader: Runjie Hu
Course description (from the graduate bulletin)):
- Groups: normal subgroups, quotient groups,
Lagrange's theorem, class formula, finite p-groups and solvable groups, Sylow's theorems,
finitely generated abelian groups.
- Rings and modules: subrings, fields, prime and maximal ideals,
quotient rings, ID's, PID's, UFD's, polynomial rings, field of fractions, the Wedderburn theorem,
Hilbert basis theorem, finitely generated modules over a PID.
- Vector spaces: basis, linear maps and matrices, dual spaces,
determinants, eigenvalues and eigenvectors, inner products, spectral theorem for normal operators.
Textbook: David S. Dummitt and Richard M. Foote, Abstract algebra,
3rd ed. available at Shop Red West or
amazon.com. A copy of the textbook
will be on reserve in the Mathematics, Physics and Astronomy Library.
Please be aware that there is a number of misprints in the book; you can find the errata here
Additional references:
- A. Knapp, Basic Algebra, Birkhauser, 2006.
- M. Artin, Algebra, Prentice Hall, 1991.
- S. Lang, Algebra, 3rd ed., Addison-Wesley, 1993.
- Jacobson, Basic Algebra, 2nd ed, W.H. Freeman, New York, 1985, 1989.
- Rotman, Introduction to the Theory of Groups, Springer Verlag.
Exams, homeworks, and grading.
There will be weekly homeworks, a midterm, and the final exam. Your final grade will
be determined by the weighted average of the grades, using the following scheme:
Homeworks: 35%
Midterm: 25%
Final Exam: 40%
Disability Support Services
If you have a physical, psychological, medical, or learning disability that may
impact your course work, please contact the Student Accessibility Support Center,
Stony Brook Union Suite 107, (631) 632-6748, or at sasc@stonybrook.edu. They
will determine with you what accommodations are necessary and appropriate.
All information and documentation is confidential. Students who require
assistance during emergency evacuation are encouraged to discuss their needs
with their professors and the Student Accessibility Support Center.
For procedures and information go to the following website:
https://ehs.stonybrook.edu//programs/fire-safety/emergency-evacuation/evacuation-guide-disabilities
and search Fire Safety and Evacuation and Disabilities.
Academic Integrity
Each student must pursue his or her academic goals honestly and be personally
accountable for all submitted work. Representing another person's work as your
own is always wrong. Faculty is required to report any suspected instances
of academic dishonesty to the Academic Judiciary. Faculty in the Health Sciences
Center (School of Health Technology & Management, Nursing, Social Welfare,
Dental Medicine) and School of Medicine are required to follow their
school-specific procedures. For more comprehensive information on academic
integrity, including categories of academic dishonesty please refer to the
academic judiciary website at http://www.stonybrook.edu/commcms/academic_integrity/index.html
Critical Incident Management
Stony Brook University expects students to respect the rights, privileges,
and property of other people. Faculty are required to report to the Office of
Student Conduct and Community Standards any disruptive behavior that interrupts
their ability to teach, compromises the safety of the learning environment, or
inhibits students' ability to learn. Faculty in the HSC Schools and the School
of Medicine are required to follow their school-specific procedures.
Further information about most academic matters can be found in the
Undergraduate Bulletin, the Undergraduate Class Schedule, and the Faculty-Employee Handbook.
|
