MT312 Spring 2011
Homework Assignments (from Topics in Algebra, by I. N. Herstein).
Note: Assignments due dates are arranged to give you adequate study
time prior to the examinations. Assignments are due in class on
the day shown. Late papers are graded at the instructor's
prerogative
and may not be awarded credit.
Please note: You are expected to show your work on all
problems.
All HW
answers have been removed from the website as the course is over.
Due Date 

Assignment 1 Wednesday, January 26, 2011

Section 4.1, Numbers 3, 6, 8, 9,
12. Extra Credit: Number 10. 
Assignment
2 Wednesday, February 2, 2011 
Section 4.2, Numbers 2, 4, 6, 7, 8, 10, 17. 
Assignment
3 Wednesday, February 9, 2011 
Section 4.3, Numbers 1, 2, 6, 7, 11 Section 4.4, Number 2 
Assignment
4 Wednesday, February 16, 2011 
Section 4.4, Numbers 3, 4, 5, 8, 11,
12 Section 4.5, Numbers 4, 5 [Number 5 asks you to prove that a module homomorphism T from M to N is onetoone if and only if Ker(T)=(0)]. 
Assignment 5 Friday, March 4, 2011 
Section
3.9, Numbers 2ac, 4a [ignore the word "directly"], 7 Section 3.10, Numbers 2, 3 Section 5.1, Numbers 2, 3a, 4, 8, 9. Note: one of these problems requires a main theorem from group theory. 
Assignment 6 Monday, March 21, 2011 
Section 5.3, Numbers 5, 6a, 6c,
7, 10ab, 11, 12, 13. [Note: 6a and 6c will be graded as separate
problems.] 
Assignment
7 Wednesday, March 30, 2011 
Section 3.10, Number 4 Section 5.4, Number 7c Section 5.5, Numbers 2, 5, 6 [short assignment due to examination on April 4] 
Assignment
8 Friday, April 15, 2011 
Section 7.1, Numbers 2, 5 Section 5.6, Numbers 2, 4, 5, 8a, 9a, 12, 13c 
Assignment 9 Monday, May 2, 2011 
Section 5.6, Number 14b Section 5.7, Number 3 Section 5.8, Numbers 5ab, 6ab 