mat312 - syllF10

### MAT 312/AMS 351 Applied Algebra Fall 2010

Index
Course Description
Syllabus and Schedule

## Syllabus, Schedule, Homework

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.

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 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. 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), 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*16are 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 Final Exam : Tuesday, Dec. 14, 2:15PM-4:45PM in Engineering 143 Through Homework 12b. Review sheet