Drorbn - User contributions [en]

08-401/Homework Assignment 5

2008-02-07T17:56:53Z

Mctea: /* Doing */

{{08-401/Navigation}}

===Reading===
Read chapters 16 and 17 (to page 306) of Gallian's book ('''6th edition''') three times:
* First time as if you were reading a novel - quickly and without too much attention to detail, just to learn what the main keywords and concepts and goals are.
* Second time like you were studying for an exam on the subject - slowly and not skipping anything, verifying every little detail.
* And then a third time, again at a quicker pace, to remind yourself of the bigger picture all those little details are there to paint.

===Doing===
Solve problems S20, 22, 24, S27, S31, 32, 38, S39, 40, S45, 49 in Chapter 16 of Gallian's book ('''6th edition''') and problems 2, S4, 5 in Chapter 17 of the same book, but submit only the solutions of the problems marked with the letter "S".

 
=== Corresponding Questions for Gallian's 5th Edition ===
Chapter 16 - S20, 22, 24, S27, S31, 32, 38, S39, 40
 
S45: Let F be a field. Show that there exists a,b in F with property (x^2 + x + 1) divides (x^43 + ax + b)
 
49: Show that 1 is the only solution of x^25 - 1 = 0 in Z/37
 
Chapter 17 - 2, S4, 5

===Due Date===
This assignment is due in class on Wednesday February 13, 2008.

Talk:08-401

2008-02-06T22:03:42Z

Mctea: Textbook Edition

something i still unclear on ideal test..

since there are two conditons in ideal test
1. a-b in A whenever a, b in A
2.ra and ar are in A whenever a in A and r in A

i just wonder when i use the ideal test, i need to use both condtions together

or just use one of both , then i can conclude a nonempty subset of a ring R is an ideal of R

thx

I would think both need to be satisfied. [[User:Sorin.c|Sorin.c]]

thx so much

now, i have a tiny question, is the Z/n equal to Z_n? are they the same thing.

because the textbook give us the symbol " Z_n", and the lecture notes give us " Z/n"

there is any difference? BY the way, i just uploaded a picture , just follow the link please:

http://katlas.math.toronto.edu/drorbn/index.php?title=Image:08-401.jpg

There is no difference. [[User:Drorbn|Dror]] said he prefers writing <math>\mathbb Z/n</math> instead of <math>\mathbb Z_n</math>.
--[[User:Sorin.c|Sorin.c]] 15:28, 27 January 2008 (EST)

== Regarding Textbook ==
Hello! My name is Tim.
As I was about to do assignment 3 which was due yesterday...
I realized that my textbook was missing several pages...
obviously I couldn't do the assignment...
and it looks like i am missing almost entire chapter 15...
I didn't buy the textbook because a friend gave me a photocopied version...
If I had known that there are pages missing, I would've bought one...
I am wondering if anyone is willing to scan some pages for me...
The pages are... pages 262-265, 286-293, 302-305...
or, atleast please type up the questions that are due next week
so I can atleast try to do the assignment...
my email address is tim.shin@utoronto.ca
Thank you all!!!

== Textbook Edition ==

Is anyone else in the class using the 5th edition of the text?
 
Would it be helpful to post the actual questions up? (since the numberings may be different in the two texts)

08-401/Class Photo

2008-01-27T03:40:48Z

Mctea: /* Who We Are... */

{{08-401/Navigation}}

Our class on Janury 23, 2007:

[[Image:08-401 Class Photo.jpg|thumb|centre|500px|Class Photo: click to enlarge]]

Please identify yourself in this photo! There are two ways to do that:

* [[Special:Userlogin|Log in]] to this Wiki and edit this page. Put your name, userid, email address and location in the picture in the alphabetical list below.
* Send [[User:Drorbn|Dror]] an email message with this information.

The first option is more fun but less private.

If you are not in the photo, Dror can take your picture some other time and stitch you in.

===Who We Are...===

{| align=center border=1
|-
!First name
!Last name
!UserID
!Email
!In the photo
!Comments

{{Photo Entry|last=Bar-Natan|first=Dror|userid=Drorbn|email=drorbn @ math.toronto.edu|location=facing everybody, as the photographer|comments=Take this entry as a model and leave it first. Otherwise alphabetize by last name. Feel free to leave some fields blank}}
{{Photo Entry|last=Constantinescu|first=Sorin|userid=Sorin.c|email=first_name.last_name @ utoronto.ca|location=Sixth person from the right, blue striped dress shirt.|comments=If my shirt was red, I would look like Spiderman (sorta).}}
{{Photo Entry|last=Gershon|first=Amir|userid=LeoDaVinci|email=amir.gershon @ utoronto.ca|location='''Really''' tall bearded guy, back row, fourth from the right in the bright red shirt.|comments=<math>N=q^{\alpha} p_1^{2e_1} \ldots p_k^{2e_k}, </math> <math>{\alpha} \equiv 1 \pmod 4</math>}}
{{Photo Entry|last=Lan|first=Kemei|userid=Lankemei2002|email=lankemei2002@yahoo.com|location=2nd from the left with black short hair|comments= this is fun!}}
{{Photo Entry|last=Sansern|first=Oak|userid=Hamlet|email=oak.sansern @ utoronto.ca|location=front row, 1st from the projector in white--looking too tired for eve class|comments=seriously? maybe later =)}}
{{Photo Entry|last=Lee|first=Lori|userid=leelorik|email=leelorik@gmail.com|location=6th from the left, in the front row|comments=2 + 2 = 4}}
{{Photo Entry|last=Yiu|first=Tony|userid=Tonytastic|email=tony.yiu @ utoronto.ca|location=Asian guy, left of the middle wearing blue|comments=Chuck Norris can divide by zero}}
{{Photo Entry|last=Anwar|first=Farheen|userid=Farheen|email=farheen.anwar@utoronto.ca|location= Only girl with head scarf, 4th from the right|comments=}}
{{Photo Entry|last=Cao|first=Ying|userid=McTea|email= y.cao[at]utoronto.ca|location= third from right, in front, blue scarf|comments= ^^}}

|}

08-401/Class Photo

2008-01-27T03:38:09Z

Mctea: /* Who We Are... */

{{08-401/Navigation}}

Our class on Janury 23, 2007:

[[Image:08-401 Class Photo.jpg|thumb|centre|500px|Class Photo: click to enlarge]]

Please identify yourself in this photo! There are two ways to do that:

* [[Special:Userlogin|Log in]] to this Wiki and edit this page. Put your name, userid, email address and location in the picture in the alphabetical list below.
* Send [[User:Drorbn|Dror]] an email message with this information.

The first option is more fun but less private.

If you are not in the photo, Dror can take your picture some other time and stitch you in.

===Who We Are...===

{| align=center border=1
|-
!First name
!Last name
!UserID
!Email
!In the photo
!Comments

{{Photo Entry|last=Bar-Natan|first=Dror|userid=Drorbn|email=drorbn @ math.toronto.edu|location=facing everybody, as the photographer|comments=Take this entry as a model and leave it first. Otherwise alphabetize by last name. Feel free to leave some fields blank}}
{{Photo Entry|last=Constantinescu|first=Sorin|userid=Sorin.c|email=first_name.last_name @ utoronto.ca|location=Sixth person from the right, blue striped dress shirt.|comments=If my shirt was red, I would look like Spiderman (sorta).}}
{{Photo Entry|last=Gershon|first=Amir|userid=LeoDaVinci|email=amir.gershon @ utoronto.ca|location='''Really''' tall bearded guy, back row, fourth from the right in the bright red shirt.|comments=<math>N=q^{\alpha} p_1^{2e_1} \ldots p_k^{2e_k}, </math> <math>{\alpha} \equiv 1 \pmod 4</math>}}
{{Photo Entry|last=Lan|first=Kemei|userid=Lankemei2002|email=lankemei2002@yahoo.com|location=2nd from the left with black short hair|comments= this is fun!}}
{{Photo Entry|last=Sansern|first=Oak|userid=Hamlet|email=oak.sansern @ utoronto.ca|location=front row, 1st from the projector in white--looking too tired for eve class|comments=seriously? maybe later =)}}
{{Photo Entry|last=Lee|first=Lori|userid=leelorik|email=leelorik@gmail.com|location=6th from the left, in the front row|comments=2 + 2 = 4}}
{{Photo Entry|last=Yiu|first=Tony|userid=Tonytastic|email=tony.yiu @ utoronto.ca|location=Asian guy, left of the middle wearing blue|comments=Chuck Norris can divide by zero}}
{{Photo Entry|last=Anwar|first=Farheen|userid=Farheen|email=farheen.anwar@utoronto.ca|location= Only girl with head scarf, 4th from the right|comments=}}
{{Photo Entry|last=Cao|first=Ying|userid=McTea|email=y.cao@utoronto.ca|location= third from right, in front, blue scarf|comments= ^^}}

|}