Math 457: Abstract Algebra II, Fall 2009 


Course Objectives / Big Questions:
Is there an abstraction of the ideas running through a number of disparate areas of mathematics which, when accurately defined, gives greater insight into these individual areas? Does this abstraction allow for discoveries which apply to the whole without consideration of the characteristics which distinguish the parts? By reaching the level of abstraction which Modern Algebra provides, we'll explore some of the most beautiful and unifying results in mathematics.
Objectives:
Master the abstraction necessary for working with groups, rings, and fields
Strengthen our understanding by exploring concrete instances of abstract ideas
Gain an appreciation for the power of abstract algebra
Build upon our logic, presentation, and proof writing skills
Course Information & Handouts
Useful Websites
Just for Fun
Ch.
Homework & Suggested Problems
47 Prepare review lectures 8 8.2/3, 21, 23 8.3/9, 12, 14, 25
8.4/ 6, 17, 22, 23, 24
8.5/ 6, 7, 12, 16
9 9.2/ 10, 12, 25, 30, 32, 36 Group Exam Solutions