Abstract Algebra

 

·        Syllabus

·        Notation

·        Recommendations for Writing Mathematics

 

 

 

·        Assignment 1 (Due 9/2): 1.1# 6, 15, 19; 1.2# 6, 10, 14; 1.4# 7, 9, 27.

·        Assignment 2 (Due 9/14): 2.1# 8*, 9*, 10*, 11, 12*, 14, 20 (Friday); 2.2# 2, 9, 11, 12* (Wednesday); 2.3# 4, 5*, 8, 13, 15 (Friday).

·        Assignment 3 (Due 9/21): 3.1# 2, 5*, 8, 9*, 15*, 16*, 22*, 23*, 24 (Wednesday); 3.2# 2*, 6, 7*, 8*, 11, 13*, 19, 24* (Friday); 3.2# 20, 21, 22 (Monday).

·        Assignment 4 (Due 9/25): 3.3# 4*, 14*, 15, 16, 17, 18* (Wednesday); 3.4# 2, 6*, 10*, 11*, 13*, 18*, 19*, 21 (Friday).

·        Assignment 5 (Due 10/12): 3.4# 26*, 27*, 28* (Friday); 3.5# 2, 3*, 10*, 11*, 12*, 14*, 16, 20 (Monday); 3.6# 2, 4*, 6*, 7, 10, 13* (Wednesday); 3.6# 16, 17*, 19*, 20*, 21, 25*, 26, 27* (Friday).

·        Assignment 6 (Due 10/21): 3.7# 4*, 6, 7*, 8, 9*, 10 (Monday); 3.7# 11, 14*, 15*, 16, 18*, 20 (Wednesday); 3.8#1*, 2*, 4, 5*, 6*, 7, 8*, 9, 10* (Friday)  3.8# 12*, 13*, 16, 18, 21*, 22*, 23  (Monday); 3.8# 26, 27, 28 (Wednesday).

·        Assignment 7 (Due 11/2): 7.1 #6, 10*, 11*, 12* (Monday); 7.2# 1, 3, 4*, 6*, 9, 15* (Wednesday); 7.3#: 2, 3, 4*, 5*, 6*, 10, 11*, 13*.

·        Assignment 8 (Due 11/16) 1.1 #7, 8, 9; 4.1 #1, 2*, 5, 6*, 7*, 11, 13*, 14*, 16*; 5.1 #2, 4*, 7, 16, 17*, 18*, 20*.

·        Assignment 9 (Due 11/25) 4.2 #2, 9, 11, 14*, 16*, 17*, 19* (Wednesday); 4.3 #2*, 6, 10*, 12*, 13, 14*, 18*, 20*, 22, 24* (Friday); 4.4 #2*, 4, 8, 10*, 14, 16, 17*, 18*, 19* (Monday).

·        Assignment 10 (Due 12/4) 5.1 #8*, 13; 5.2 #1*, 3, 7, 8*, 12*, 14; 5.3 #2, 4*, 7*, 11*, 12*, 13*, 14*, 16*, 18, 23, 25*, 26*; 5.4 #4, 5, 13, 14*.

 

 

 

 

Remarks:

 

1.     Justify all answers.

2.     I am also including problems (marked with (*)) which are not to be turned in, but may show up on a test. (e.g. you are only required to do problems 11, 14 and 20 in section 2.1, but you should consider problems 8, 9, 10 and 12 when preparing for your midterm!)

3.     Starting with assignment 2, you are expected to read the relevant section and do (or at least attempt) all problems by the day indicated in parentheses.

4.     Here are some homework solutions for your enjoyment: 1, 2, 3, 4, 5, 6, 7.