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MAT 312/AMS 351 Applied Algebra
Fall 2010
Index Course Description Syllabus and Schedule
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MAT 312/AMS 351 Applied Algebra
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Index Course Description Syllabus and Schedule |
Be aware that some important dates appear on the university's Fall 2010 academic calendar.
Page references are to Irwin Kra, Abstract Algebra With Applications.
We will not be emphasizing the Maple/Mathematica worksheets this term; students interested in computer algebra projects should speak to an instructor.
| Dates | Sections covered | Homework |
| Aug 31 & Sep 2 | 1.1-1.3 |
HW 1; due: Sep 7 p. 12, (1), (2) p. 13 Show equivalence of the 2 forms of induction. p. 14 (1), (2), (4) p. 28 (1adf), (2), (5a), (6), (10) |
| Sep 7 |
HW 2; due: Sep 14 Go over exercises from last week and re-submit if necessary. |
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| Sep 14 & Sep 16 | 1.4, 1.5 |
HW 3; due: Sep 21
Homework 3 (PDF file) |
| Sep 21 & Sep 23 | 1.6 |
HW 4 ; due: Sep 28 Homework 4 (PDF file) |
| Sep 28 & Sep 30 |
1.7 Review for Midterm |
HW 5; due: Oct 5
Homework 5 (PDF file). |
| October 5, Tuesday, 11:20am - 12:40pm:
Midterm I Through Homework 4. Review sheet | ||
| Oct 5 & 7 | 1.8 (through p.51) |
HW 6; due: Oct 12
Homework 6 (PDF file). |
| Oct 12 & 14 | 1.8 (end) |
HW 7; due: Oct 19
Homework 7 (PDF file). |
| Oct 19 & Oct 21 | 1.9, 3.1 |
HW 8; due: Oct 26
Homework 8 (PDF file). |
| Oct 26 & Oct 28 |
3.2 (through Remark 3.25) Review for midterm |
Calculator program for remainders |
| November 2, Tuesday, 11:20am - 12:40pm:
Midterm II Through Homework 8. Review sheet | ||
| Nov 2 & Nov 4 |
HW 9, Due: Nov 9 Homework 9 (PDF file), |
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| Nov 9 & Nov 11 |
Notes and Exercises
on permutations and matrices 4.1 |
HW 10; due: Nov 16 Exercises from "Notes ... and (8) Note that φ(24) = φ(16) = 8. Prove that Z*24 and Z*16 are really different groups (hint: check orders of elements). |
| Nov 16 & Nov 18 | 4.2 |
HW 11; due: Nov 30 but start it now. Homework 11 (PDF file). |
| Nov 23 | 4.5 Notes and exercises on normal subgroups and quotient groups |
HW 12a; due: Dec 7 Exercises in notes plus (see below) Note that Nov 23 is academically a Thursday! |
| Nov 30 & Dec 2 | 6.2 |
HW 12b; due: Dec 7 Homework 12b (PDF file). |
| Dec 7 & Dec 9 |
Notes on Hamming Codes(Revised 12/08/10). Review for Final |
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Final Exam : Tuesday, Dec. 14, 2:15PM-4:45PM in Engineering 143 | ||