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MAT 312/AMS 351 Applied Algebra
Spring 2012
Index Course Description Syllabus and Homework
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MAT 312/AMS 351 Applied Algebra
|
Index Course Description Syllabus and Homework |
Be aware that some important dates appear on the university's Spring 2012 academic calendar.
Page references are to Humphreys/Prest Numbers, Groups & Codes, 2nd Edition.
| Dates | Sections covered | Homework |
| Jan 23 & Jan 27 | 1.1 | 1, 2, 3, 4, 5, 6, 7 |
| Jan 30 & Feb 3 |
1.2 1.3 |
3, 7, 8, 10 2, 6, 7, 8 |
| Feb 6 & Feb 10 |
1.4 1.5 |
2, 3, 5, 6, 7 1, 2, 4 |
| Feb 13 & Feb 17 | 1.6 | 1, 2, 3, 5, 7, 12, 13 (due 2/27) |
| Feb 20 & Feb 24 |
Review Midterm I (2/24) |
Review sheet for Midterm 1 Solutions to Midterm 1 |
| Feb 27 & Mar 2 |
4.1 4.3 |
1, 2, 3, 4 p. 158 1, 2, 3, 4 p. 183 |
| Mar 5 & Mar 9 |
4.1 4.2 |
5, 6 1, 2, 3, 4, 5, 7 |
| Mar 12 & Mar 16 |
4.3 5.1 |
5, 6, 7, 8, 9 and show that G =
GL(2, Z
2) is isomorphic to S(3), the permutation group on
3 elements. Hint: let G act on the column vectors (0,1),
(1,0), (1,1) by matrix-vector multiplication. 3, 8, 9, 10 |
| Mar 19 & Mar 23 |
5.2 5.3 |
1, 2, 3, 5 1, 3, 4, 7 |
| Mar 26 & Mar 30 |
5.4 Notes on binary codes |
Exercises 1, 2, 3, in Notes, due April 16. |
| Apr 9 and Apr 13 |
Review Midterm II (4/13) |
Review sheet for Midterm II covers 1.6, 4.1-4.3, 5.1-5.3 Solutions to Midterm II |
| Apr 16 & Apr 20 |
6.1 6.2 6.3 |
1, 2, 3 1, 2, 3 2, 3, 5 |
| Apr 23 & Apr 27 |
6.4 6.5 |
1, 2, 3
1 |
| Apr 30 & May 4 |
6.5 Review |
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Review for Final | ||