Abstract Algebra
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Syllabus
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Notation
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Recommendations for
Writing Mathematics
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Assignment 1 (Due
9/2): 1.1# 6, 15, 19; 1.2# 6, 10, 14; 1.4# 7, 9, 27.
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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).
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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).
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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).
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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).
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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).
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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*.
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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*.
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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).
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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.