Description:   This is the first semester of our two semester graduate algebra sequence. Algebra is one of fundamental disciplines of mathematics and an algebraic way of thinking is pervasive in much of mathematics. There are numerous applications of algebra; for example coding, computer graphics, mathematical biology (using algebraic geometry). The goal of this course is to introduce the basic concepts and facts of modern algebra. This should prepare the student to be able to manipulate and understand fairly abstract concepts, and provide the necessary background for further graduate courses.

In the first semester, we will concentrate on properties of basic algebraic structures: groups, rings, and modules. The first semester will tentatively cover chapters 1-9 of our textbook.

The second semester will concentrate on modules, fields, galois theory, commutative algebra, and more advanced topics; approximatively chapters 10, 12-19 of our textbook.

Syllabus, lecture notes, and homework:     Please login into sakai at URI

Textbook:     D. Dummit, R. Foote, Abstract Algebra, 3rd edition, Wiley 2003, ISBN-10: 0-471-43334-9, ISBN-13: 978-0-471-43334-7
                      (errata from Prof. Foote's webpage)

Additional texts:
      J. S. Milne, Group theory, lecture notes
      T. Hungerford, Algebra, Graduate Texts in Mathematics v. 73 (v. 73), Springer 2003, ISBN-10: 0387905189, ISBN-13: 978-0387905181
      S. Lang, Algebra, Springer 2005, 3rd edition, ISBN-10: 038795385X, ISBN-13: 978-0387953854

Prerequisites: Mathematical maturity and a basic knowledge of groups and rings on the level of MTH316.

Illness due to flu: The H1N1 Flu Pandemic may impact classes this semester. If any of us develop flu-like symptoms, we are being advised to stay home until the fever has subsided for 24 hours. So, if you exhibit such symptoms, please do not come to class. Notify me at 874-4451 or via email of your status, and we will work together to ensure that course instruction and work is completed for the semester.
The Centers for Disease Control and Prevention have posted simple methods to avoid transmission of illness. These include: covering your mouth and nose with a tissue when coughing or sneezing; frequently washing your hands to protect from germs; avoiding touching your eyes, nose and mouth; and staying home when you are sick. For more information, please view http://www.cdc.gov/flu/protect/habits.htm. URI information on the H1N1 will be posted on the URI website at www.uri.edu/news/h1n1, with links to the http://www.cdc.gov site.

Accommodations: Any student with a documented disability is welcome to contact me as early in the semester as possible so that we may arrange reasonable accommodations. As part of this process, please be in touch with Disability Services for Students Office at 330 Memorial Union, 401-874-2098.