MATH 431-01 Applied Algebra II (Ellis) Spring 2009

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The Math 430 Applied Algebra Fall 2008 coursepage is here.
Instructor: Robert Ellis Office: E1 Bldg, Rm 105C Email:

Lectures

MW 3:15-4:30pm E1 Bldg. 121

Office Hours

walk-in; TRF best times Office phone 567-5336
Appointments and emailed questions are welcome

Textbooks 

Gallian, Contemporary Abstract Algebra, 6th edition, Houghton Mifflin
Huffman and Pless, Fundamentals of Error-Correcting Codes, Cambridge University Press, 2003 (see Books 24/7 at Galvin Library)

First day handout (pdf) (course contract & exam schedule)

Exams
Exam 1 Exam 2 Final    
Wed. Feb. 25
Exam Key
Wed. Apr. 15
(Happy Tax Day!)
TUES May 12
2:00PM to 4:00PM
   
Practice Exams (guide to structure, not material)
Term Exam 1 Exam 2 Exam 3 Final
Fall `08 430 exam, key exam, key final, key
Fall `06 430 exam, key key exam, key exam, key

Resources tailored for the textbook

 

Daily Class Activities
Date Overheads/Handouts Group Activities3
W 5/6 Reading Quiz 31
Chapter 31 notes were updated
 
M 5/4 Chapter 31 notes  
W 4/29 Chapter 22 overview  
M 4/27 Reading Quiz 21A
Chapter 21 Theorems
 
W 4/22 Reading Quiz 20C
Chapter 20 overview
 
M 4/20 Menger Day Menger Day
W 4/15 Exam 2 Exam 2
M 4/13 Reading Quiz 20B
Chapter 20 Theorems were updated
 
W 4/8 Reading Quiz 20A
Chapter 20 Theorems
Chapter 20: Extension Fields
M 4/6 Reading Quiz 19 Chapter 19: Vector Spaces
W 4/1 Reading Quiz 18B
Chapter 18 Theorems
 
M 3/31 Reading Quiz 18A Chapter 18A: Divisibility in Integral Domains
W 3/25 Reading Quiz 17B
Chapter 18 Theorems
Chapter 17C: Factoring Polynomials
M 3/23   Chapter 17B: Factoring Polynomials
W 3/11 Reading Quiz 17A Chapter 17A: Factoring Polynomials
M 3/9 Reading Quiz 16B
Chapter 16 Theorems
Chapter 16B: Polynomial Rings
W 3/4 Reading Quiz 16A
Chapter 15 Theorems
Chapter 15B/16A: Ring Homomorphisms/Polynomial Rings
M 2/23 Reading Quiz 15B
Chapter 14 Theorems (updated 2/24)
Chapter 15A: Ring Homomorphisms
W 2/18 Reading Quiz 15A Chapter 14B: Ideals and Factor Rings
M 2/16 Reading Quiz 14A Chapter 14A: Ideals and Factor Rings
W 2/11   Chapter 13B: Integral Domains
M 2/9 Reading Quiz 13A
Chapter 13 Theorems
Chapter 13A: Integral Domains
W 2/4 Reading Quiz 12A Chapter 12A: Intro to Rings
M 2/2 Reading Quiz 11B Algorithm for and structure of Fundamental Theorem
W 1/28 Reading Quiz 11A Chapter 11 groups for classification
M 1/26 Chapter 10B Theorems  
W 1/21 Chapter 10A Reading Quiz
Chapter 10 Theorems (not same file as fall)
Chapter 10B: Homomorphisms
Date Overheads/Handouts Group Activities3
Daily Class Activities
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Homework Due Dates

Homework cover sheet (use this for each homework or hand-write something similar).
Due Date Reading1 Group Homework2
F 5/6
5pm in mailbox
  Chapter 21: 6, 8, 10, 20
Chapter 22: 4, 6, 8, 24
W 5/6 Chapter 31  
W 4/29   Chapter 20: 2, 4, 8, 10, 14 (ask me for a hint if necessary), 22, 26, 30, 32
M 4/27 Chapter 21 Individual Homework: Exam 2 rewrite of missed problems (staple separate solutions to original test)
W 4/22 Chapter 20, all pages Chapter 19: 2 (give details), 10, 22 (prove it), 26
Also: A 250-500 word summary of Prof. Durret's Menger Day talk. Describe interesting examples, solved problems, open questions, things that particularly interested you or need more investigation. This is a group assignment.
M 4/20 Instead of lecture, we will attend Prof. Durret's Menger Day talk, MTCC Ballroom 4:30pm 250-500 word preparatory description for Prof. Durrett's Menger Day Lecture. Write down definitions of the examples or terms mentioned in the abstract. Submission must be as an email in normal text form by 3:15 Monday 4/20. This is an individual assignment.
W 4/15   Exam 2 on Chapter 12 through material returned by Monday 4/13, and through Chapter 18 group activities
M 4/13 Chapter 20, all pages  
W 4/8 Chapter 20, through page 360
Chapter 18: 2, 4, 8 (see p.329), 10, 12 (see the Lemma on p. 327), 22, 30,
Computer Exercise: 1
M 4/6 Chapter 19  
W 4/1 Chapter 18, all pages
Also, (1) on GA 18A
Chapter 17: 2, 4, 6, 10 (give justification), 16, 18, 24, 34
Computer Exercise: 2
M 3/30 Chapter 18, pages 320-326
F 3/27
E1 210 mailbox
3pm
  Chapter 16: 8, 12, 18, 20 (quote 19 or prove from scratch), 24, 28, 40, 42
W 3/25 Chapter 17, all pages
 
M 3/23 No Reading  
W 3/11 Chapter 17, page 303-307 Chapter 15: 6, 10, 12, 18 (assume 8), 30, 36 (image of Z?), 50, 60
M 3/9 Chapter 16, especially 2nd half Rewrite of solutions for Exam 1 due
W 3/4 Chapter 16, all pages Chapter 14: 6, 8, 10, 12, 26, 30, 36, 56; Computer Exercise: 2
M 3/2 No reading  
W 2/25   Exam 1 on material through homework returned by 2/23
M 2/23 Chapter 15 all pages
 
W 2/18 Chapter 15 through p.282
Chapter 13: 6, 8, 10, 14 (see definition in 13), 20, 22, 24 (directly or using 23), 44, 48, 54
Ch 13 Computer Exercise: 3, 6
(Note: it is immediate that the nonzero elements of a field form a group under multiplication. See Chapter 2 to compare the definition of a group to what is true about these elements.)
M 2/16 Chapter 14 all pages
 
W 2/11  
Chapter 12: 4, 6, 8, 18, 22, 26, 46
Ch 12 Computer Exercise: 4 (Clearly state answers in generally the same order of the questions)
M 2/9 Chapter 13 all pages
 
W 2/4 Chapter 12
Chapter 11: 6, 10, 20, 28
Classify the group on page 4 of Chapter 11 groups for classification with some explanatory description (as addressing a student who knows Chapter 11 but not this group)
Challenge (not for submission)) Chapter 11: 34, 36
M 2/2 Chapter 11 all pages
 
W 1/28 Chapter 11 pp.217-222
Chapter 10: 6, 10, 12, 18, 24, 34, 48, 54
Challenge (not for submission)): 39, 40
M 1/26 Chapter 10  
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1. Each day starting 8/26 except for exam days the quiz dice will be rolled. On a 2, 3, 4, or 5, a quiz will be given covering the reading due that day.

2. See the first day handout for instructions on working and submitting group homework.

3. Group activity worksheets are not to be turned in. Send email or stop by to ask questions about these.


page maintained by Robert Ellis / http://math.iit.edu/~rellis/