|MAT 535 Spring 2010 Problem Sets||MAT 535 Spring 2010 Syllabus||MAT 535 Spring 2010 Exams|
MAT 535 Course Webpage
Course Announcements Announcements about the course will be posted here. Please check the site regularly for announcements (which will also be given in lecture and/or in recitation).
Course Description The description in the graduate bulletin: Vector spaces: Cayley-Hamilton Theorem, Jordan normal form, bilinear forms, signature, tensor products, symmetric and exterior algebras. Homological algebra: categories and functors, universal and free objects, exact sequences, extensions. Representation theory for finite groups: irreducible representations and Schur's Lemma, characters, orthogonality. Galois theory: splitting fields, finite fields, extension fields of various types, Galois polynomial and group, fundamental theorem of Galois theory, symmetric functions.
Prerequisites For graduate students in the mathematics Ph.D. program, there is no prerequisite. All other students should consult with the instructor regarding prerequisites.
The instructor for this course is
All instruction will occur in lectures. There are assigned
readings in the syllabus
which are to be completed before lecture. During lecture the
instructor and the students will discuss the material in those
readings, there will be exercises to practice the material, etc. For
the lectures to be effective, you must complete the assigned reading
from the syllabus before lecture.
Lecture is held Tuesdays and Thursdays, 11:20 12:40AM in Melville Library N3085. Melville Library is in the bottom left corner of D4 in the online campus map.
Office hours are Tuesday 9 10am and Thursday 9 10am, 1 2pm in the advising office in Math Tower P-143.
|40% (= 10% x 4)|
|25% (= 5% x 5)|
Graded problem sets and exams will be handed back in lecture. If you cannot attend the lecture in which a problem set or exam is handed back, it is your responsibility to contact your instructor and arrange a time to pick up the work (typically in office hours).
You are responsible for collecting any graded work by the end of the semester. After the end of the semester, the instructor is no longer responsible for returning your graded work.
Every student will give an oral presentation of approximately 20 minutes during office hours in the last few weeks of the semester. The topic of the presentation is to be determined by the student and instructor jointly. It may be on anything related to the course but not directly covered during lecture or on problem sets, e.g., a skipped section of the textbook, an interesting sequence of (unassigned) textbook problems, related material from another algebra textbook, etc. The topic should be discussed with the instructor and approved no later than April 15th.
Disability Support Services If you have a physical, psychological, medical or learning disability that may impact your course work, please contact Disability Support Services, 128 ECC Building (631) 632-6748. 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 Disability Support Services. For procedures and information go to the following web site: http://www.ehs.sunysb.edu 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 are required to report any suspected instance of academic dishonesty to the Academic Judiciary. For more comprehensive information on academic integrity, including categories of academic dishonesty, please refer to the academic judiciary website at http://www.stonybrook.edu/uaa/academicjudiciary/.
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 Judicial Affairs any disruptive behavior that interrupts their ability to teach, compromises the safety of the learning environment, and/or inhibits students' ability to learn.