Basic Course Information
Abstract algebra is one of the cornerstones of modern mathematics. It has enjoyed wide-ranging applications to both pure and applied sciences : people have found extensive use of abstract algebra in number theory, geometry (which led to modern algebraic geometry), topology (which led to algebraic topology), and of course, theoretical and mathematical physics. On more practical side, abstract algebra has become an indispensable tool for many computer scientists.
The biggest thesis in undergraduate abstract algebra is the following :
Not all zeros of every quintic real polynomial can be expressed in terms of radicals.
To prove this theorem, one has to understand various concepts that go into a proof of this theorem such as : groups (normal subgroups, factor groups, abelian and simple groups), rings (ideals, Euclidean rings, and unique factorization rings), and fields (algebraic extensions, finite fields). We studied groups in Abstract Algebra I. In this course we will learn more about groups and move on to rings and fields. Subsequent concepts and the proof of the theorem will be covered in a graduate course in algebra.
Abstract Algebra, 2nd Edition by John A. Beachy & William D. Blair
Homework 20%
Midterm 1 25%
Midterm 2 25%
Final 30%
Homework will be collected every Wednesday unless told otherwise in
class. The assignments will be posted on the web. I encourage
you to work with other students in the class when solving the homework
problems, but you should write them up on your own. To receive credit
for homework, it must be handed in on time. In case of a legitimate
conflict that you know of before hand, you may see the instructor to
make appropriate arrangements. No late homework will be accepted.
The last day to withdraw from this class is March 10.
Final exam is on May 10, 10 - 11:50AM.
Academic honesty and mutual respect (student with student and instructor with student) are expected in this course. Mutual respect means being on time for class and not leaving early, being prepared to give full attention to class work, not reading newspapers or other material in class, not using cell phones or pagers during class time, and not looking at another student's work during exams. Academic misconduct, as defined by the Student Judicial Code, will not be treated lightly.
If you have specific physical, psychiatirc, or learning disabilities and require accomodations, please let your instructor know early in the semester so thatyour learning needs may be appropriately met. You will need to provide documentation of your disability to the CAAR (Center for Access Ability Resources) Office located in the Health Services Building, 4th floor.