Instructor: Brian HarbourneClass Room: Oldfather Hall 304Office: 331 Avery HallTime: 11:30 -- 12:20pm MWFTel.: 402-472-4476Web: http://www.math.unl.edu/~bharbour/Office Hours: 12:30-1:20 MWF, and other times by appointment, but feel free to drop by my office anytime. If I'm busy, we can make an arrangement for later.Text: Algebra (revised 3rd ed.), by S. Lang. (Other books are also useful, for example, Hungerford's Algebra, Jacobson's Basic Algebra I and II, Dummit and Foote's Abstract Algebra, etc. It's good to look at various authors' approach to the notions we'll study.)

**Prerequisites**: Math 817-818 or permission of the instructor.**Content**: Some category theory, some group theory, some field and Galois theory, possibly others as time permits. Topics and focus can be adjusted, depending on the background of the class.**Goals**: To help you be prepared for the comprehensive exam in algebra, and to know the foundations in algebra needed to prepare for a research career in mathematics.**Grades**: There will be two exams, plus a final exam. There will also be regular homework assignments. Depending on the interest of the class, we could have extra credit opportunities for up to 5% involving class presentations (if so the 5% would come out of the final exam).two exams 20% each final exam 30% (10:00 to 12:00 noon, Thursday, Dec. 15) Homework average 30% ___ Total 100%

**Departmental Grading Appeals Policy**: Students who believe their academic evaluation has been prejudiced or capricious have recourse for appeals to (in order) the instructor, the departmental chair, the departmental appeals committee, and the college appeals committee.