
MAT 312/AMS 351 Applied Algebra

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  1.11.3 
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 resubmit 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*_{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 

Final Exam : Tuesday, Dec. 14, 2:15PM4:45PM in Engineering 143 