Math 457: Abstract Algebra II, Fall 2009

 
     
 

Instructor: Erin McNicholas

Course Logistics

Room:  Ford 211 Room:  Ford 224
Phone:  503-370-6590 Time:  Tue Thurs 12:50-2:20 pm
Email:  emcnicho(at)willamette.edu Mailgroup:  math-457-01(at)willamette.edu
Homepage:  www.willamette.edu/~emcnicho Textbook:  Abstract Algebra, 2ed. by Hungerford
Office Hours:   Monday & Thursday, 3-4pm, Tuesday & Wednesday 9-10am

 

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

4-7 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