If the size of your HW file is more than 1MB, you must upload the file on Collab (the current plan is to use the FileDrop tool, but this may be changed later). FILEDROP UVA PDFHomework should be submitted as a SINGLE PDF file.Homework will be assigned weekly and will usually be due on a fixed day of the week (TBD later). In case of a take-home exam date means the due date. The dates of the midterm exams are tentative at this point and may be slightly changed. The time and date for the final exam are determined by the registrar and cannot be changed. Final exam: Tue, December 8th, 9am-12pm.Second midterm exam: Thu, November 5th.First midterm exam: Tue, September 29th.The format of the exams has not been finalized yet, but the current plan is that the first midterm will be 50% in class and 50% take-home, the second midterm will be 100% take-home and the final will be 50% take-home and 50% oral. If you feel that your linear algebra preparation is not sufficient, you are strongly encouraged to attend MATH 4651 Advanced Linear Algebra (which meets MWF 1-1:50pm) and/or review the main linear algebra topics during the first half of the semester.Įxams and homework: There will be weekly homework and three exams (two midterms and the final). A linear algebra assessment exam will be posted during the week before the fall semester and will be due on Thu, Aug 27. Linear algebra material will not be seriously used until the last third of the course. Prerequisites: Undergraduate courses in linear algebra and abstract algebraĬomparable in level to UVA 46, respectively. I do not plan to follow a specific book for the representation theory part, but a good reference which does not assume advanced algebra background is Representation Theory of Finite Groups: An Introductory Approach by Benjamin Steinberg. We will very briefly review Chapters 1-3 (which mostly contain standard undergraduate material) and then cover selected topics from Chapters 4-6. If we go substantially slower than expected in the first 2 parts, I may replace representation theory by another topic.įor the ring theory part, I plan to cover the majority of topics in Chapters 7-9 of Dummit and Foote (DF). I plan to spend approximately equal amounts of time on each of the 3 parts. We will study primarily ring theory, group theory and group representation theory (in this order). Course content: Math 7751 is the first half of the standard graduate algebra sequence Office hours: 2 hrs 30 min TBA and by APPOINTMENTĪbstract Algebra, David Dummit and Richard Foote, 3rd edition.
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