## Math 4108: Abstract Algebra II

### Spring 2012, Georgia Tech

Syllabus
Instructor: Josephine Yu (jyu@math.gatech.edu)
Lectures: MWF 2:05-2:55pm in Skiles 271
Office hours: MW 10-11 am and by appointment, in Skiles 223

Textbook: Topics in Algebra, 2nd edition, by I. N. Herstein
Topics: modules, fields, Galois theory, representation theory (if time permits).

Grading: Homework (20%), Exam 1 (20%), Exam 2 (20%), Final exam (40%).

### Homework Assignments

For extra credit, you can turn in solution to any starred problem from the book, from the sections we covered in class. You can do this any time before the due date of the last homework assignment.
• Homework 1 (Due: Jan 20)
• Homework 2 (Due: Feb 3). Section 5.1: 2,4,5,8,10,15. Section 5.2: 1,3,4.
• Homework 3 (Due: Feb 10). Section 5.3: 5,6,7,11,13. Section 5.4: 7,8,11.
Show that it is impossible to square a circle, i.e. given a circle of radius r, it is impossible to construct by straightedge and compass a square whose area is the same as that of the given circle. You may use the fact that pi is not algebraic.
• Exam Correction (Extra Credit) (Due: Feb 17). Turn in correct solutions for the exam problems that you missed, and you can get up to 1/3 of the points lost. This will be counted as exam points.
• Homework 4 (Due: March 2)
• Homework 5 (Due: Mar 14). Section 5.6: 2,4,5,6,8,9,12,13. Section 5.7: 2,5. Section 5.8: 4,5,7.
• Homework 6 (Due: March 30)
• Homework 7 (Due: April 20)
• Exam Correction for 1/3 credit like last time (Due: April 20). Please attach the original exams.
• Review Problems: Sheet 1, Sheet 2.

### Exams

• Exam 1 (Feb 10, 2012)
• Exam 2 (Apr 4, 2012)
• Final Exam (May 2, 2012. 11:30-2:20 pm)

### Announcements

• Welcome to Math 4108!
• Exam 2 is moved to April 4 (Wednesday).