07-401/Homework Assignment 4 - Revision history

Drorbn at 14:37, 14 March 2007

2007-03-14T14:37:09Z

← Older revision		Revision as of 10:37, 14 March 2007
Line 5:		Line 5:
	* 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.		* 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.		* 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 ~~what~~ bigger all those little details are there to paint.		* 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===		===Doing===

Sidhubik: /* Doing */

2007-02-21T21:52:28Z

Doing

← Older revision		Revision as of 17:52, 21 February 2007
Line 9:		Line 9:
	===Doing===		===Doing===
	Solve problems 53, 54 and 62# in Chapter 15 of Gallian's book and problems 1, 2, 3#, 9, 10, 11, 12#, 13#, 15, 30 and 45# in Chapter 16 of the same book, but submit only the solutions the problems marked with a sharp (#).		Solve problems 53, 54 and 62# in Chapter 15 of Gallian's book and problems 1, 2, 3#, 9, 10, 11, 12#, 13#, 15, 30 and 45# in Chapter 16 of the same book, but submit only the solutions the problems marked with a sharp (#).

			[[Media:07-401-HW4.pdf\|Solutions]]

	===Due Date===		===Due Date===

Drorbn at 13:56, 1 February 2007

2007-02-01T13:56:26Z

← Older revision		Revision as of 09:56, 1 February 2007
Line 1:		Line 1:
	{{07-401/Navigation}}		{{07-401/Navigation}}
	{{In Preparation}}

	===Reading===		===Reading===
Line 9:		Line 8:

	===Doing===		===Doing===
	Solve problems 53 and 54 in Chapter 15 of Gallian's book and problems 1, 2, 3#, 9, 10, 11, 12#, 13#, 15~~, 20, 22#, 24, 27#~~, 30~~, 31#, 40~~ and 45 in Chapter 16 of the same book, but submit only the solutions the problems marked with a sharp (#).		Solve problems 53, 54 and 62# in Chapter 15 of Gallian's book and problems 1, 2, 3#, 9, 10, 11, 12#, 13#, 15, 30 and 45# in Chapter 16 of the same book, but submit only the solutions the problems marked with a sharp (#).

	===Due Date===		===Due Date===

Drorbn at 21:58, 31 January 2007

2007-01-31T21:58:20Z

← Older revision		Revision as of 17:58, 31 January 2007
Line 9:		Line 9:

	===Doing===		===Doing===
	Solve problems ~~???~~ in Chapter 15 of Gallian's book and problems 1, 2, 3#, 9, 10, 11, 12# and ~~???~~ in Chapter 16 of the same book, but submit only the solutions the problems marked with a sharp (#).		Solve problems 53 and 54 in Chapter 15 of Gallian's book and problems 1, 2, 3#, 9, 10, 11, 12#, 13#, 15, 20, 22#, 24, 27#, 30, 31#, 40 and 45 in Chapter 16 of the same book, but submit only the solutions the problems marked with a sharp (#).

	===Due Date===		===Due Date===

Drorbn at 21:41, 31 January 2007

2007-01-31T21:41:24Z

← Older revision		Revision as of 17:41, 31 January 2007
Line 16:		Line 16:
	===Just for Fun===		===Just for Fun===
	{\|		{\|
			\|- valign=top
	\|-
	\|		\|
	* Take a large integer and write it in base 10. Cut away the "singles" digit, double it and subtract the result from the remaining digits. Repeat the process until the number you have left is small. Prove that the number you started from is divisible by 7 iff the resulting number is divisible by 7. Thus the example on the right shows that 86415 is divisible by 7 as 0 is divisible by 7. (I learned this trick a few months ago from [http://www.math.toronto.edu/hovinen/ Bradford Hovinen]).		* Take a large integer and write it in base 10. Cut away the "singles" digit, double it and subtract the result from the remaining digits. Repeat the process until the number you have left is small. Prove that the number you started from is divisible by 7 iff the resulting number is divisible by 7. Thus the example on the right shows that 86415 is divisible by 7 as 0 is divisible by 7. (I learned this trick a few months ago from [http://www.math.toronto.edu/hovinen/ Bradford Hovinen]).
	* Find a similar criterion for divisibility by 17 and for all other divisibilities and indivisibilities.		* Find a similar criterion for divisibility by 17 and for all other divisibilities and indivisibilities.
	* Note that the word "indivisibilities" has the largest number of repetitions of a single letter among all words in the English language (7 i's). I've known this fact for years but this is the first time that I'm finding a semi-legitimate use for that word! (It is tied with the word honorificabilitudinitatibus for seven 'i's. You can read more about it here: http://en.wikipedia.org/wiki/Honorificabilitudinitatibus)		* Note that the word "indivisibilities" has the largest number of repetitions of a single letter among all words in the English language (7 i's). I've known this fact for years but this exercise is the first time that I'm finding a semi-legitimate use for that word! (It is tied with the word honorificabilitudinitatibus for seven 'i's. You can read more about it here: http://en.wikipedia.org/wiki/Honorificabilitudinitatibus)
	\|		\|
	8641<s>5</s>		8641<s>5</s>

Drorbn at 21:38, 31 January 2007

2007-01-31T21:38:22Z

@@ Line 9: / Line 9: @@
 ===Doing===
-Solve problems ??? in Chapter 15 of Gallian's book and problems 1, 2, #3, 9, 10, 11, #12 and ??? in Chapter 16 of the same book, but submit only the solutions the problems marked with a sharp (#).
+Solve problems ??? in Chapter 15 of Gallian's book and problems 1, 2, 3#, 9, 10, 11, 12# and ??? in Chapter 16 of the same book, but submit only the solutions the problems marked with a sharp (#).
 ===Due Date===
 This assignment is due in class on Wednesday February 7, 2007.

Drorbn at 13:55, 25 January 2007

2007-01-25T13:55:31Z

New page

{{07-401/Navigation}}
{{In Preparation}}

===Reading===
Read chapters 15 and 16 of Gallian's book 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 what bigger all those little details are there to paint.

===Doing===
Solve problems ??? in Chapter 15 of Gallian's book and problems 1, 2, #3, 9, 10, 11, #12 and ??? in Chapter 16 of the same book, but submit only the solutions the problems marked with a sharp (#).

===Due Date===
This assignment is due in class on Wednesday February 7, 2007.