Math 511H Abstract Algebra I

Instructor: Ralf Schiffler
Office: LGRT 1342
Phone: (413) 545-2871
E-mail: schiffler at math dot umass dot edu
Office Hours: TuTh 10:30 - 11:30 or by appointment

Schedule: TuTh 2:30 - 3:45 in LGRT 1234
Text: Algebra: Pure and Applied, Aigli Papantonopoulou, Prentice-Hall, Inc. 2002.
Syllabus (in PDF)
Make-up policy for exams

Exams

Midterm 1: Tuesday, October 16, 2:30 - 3:45, in LGRT 1234 solutions

Midterm 2: Tuesday, November 20, 2:30 - 3:45, in LGRT 1234 an old exam... ... and its solution

Final exam: Take Home, Due on Dec 19

Final exam: You can either print this pdf-file or get a final exam in my office. The exam is due on Dec 19. If you cannot give your copy directly to me, you can slide it under my door into my office.

The class on Thursday Dec 13 is canceled since the University is closed. I wanted to use this class to discuss the problems on the final exam. Therefore I will hold supplementary office hours Fri 10 - 12 and Mon 10 - 12. Contact me by email to set up other appointments if you can't come during office hours.

Grading: Course Grade = Homework (30%) + Midterm 1 (20%) + Midterm 2 (20%) + Final (30%)

Homework

Homework #1: (due Tue, Sep 18)
Section 1.1: # 5, 7, 18, 19, 28
Bonus: section 1.1: # 29 [Hint: Show first that in the group of #28, we have aa=1 if and only if a=1 or a=p-1]
Read sections 1.2 - 1.3

Homework #2: (due Tue, Sep 25)
Section 1.2: # 7, 14, 20, 28, 30, 32
Read sections 1.3 - 1.4

Homework #3: (due Tue, Oct 2)
Section 1.3: # 1, 4, 14, 18
Section 1.4: # 10, 12
Read sections 1.4 - 2.1

Homework #4: (due Th, Oct 11) Note that on Tuesday, Oct 9 we have no class.
Section 1.4: # 15, 17, 31, 37
Section 2.1: # 7, 17
Read sections 2.2 - 2.3

Homework #5: (due Tu, Oct 23)
Section 2.1: # 26, 31
Section 2.2: # 5, 8, 19, 48

Homework #6: (due Tu, Oct 30)
Section 2.3: # 12, 13, 19, 24
Section 2.4: # 11, Construct the group table for D₄ / < rho²>
Read Sections 2.4 - 2.5

Homework #7: (due Tu, Nov 6)
Section 2.4: # 16, 22, 23
Section 2.5: # 4, 8
Read Sections 3.1 - 3.2

Homework #8: (due Tu, Nov 13)
Section 2.5: # 9, 11, 22
Section 3.1: # 4, 7
Bonus: Section 2.4: # 34

Homework #9: (due Tu, Nov 20)
Section 3.2: # 6, 15
Section 3.3: # 8
Section 3.4: # 10, 16

Homework #10: (due Thu, Dec 6)
Section 4.1: # 10, 11, 12
Section 4.2: # 4, 5, 10,