Difference between revisions of "10-327/Homework Assignment 5"

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{{In Preparation}}
 
 
 
===Reading===
 
===Reading===
Read sections 26 and 27 in Munkres' textbook (Topology, 2nd edition). Remember that reading math isn't like reading a novel! If you read a novel and miss a few details most likely you'll still understand the novel. But if you miss a few details in a math text, often you'll miss everything that follows. So reading math takes reading and rereading and rerereading and a lot of thought about what you've read. Also, '''preread''' sections 28 and 29, just to get a feel for the future.
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'''Read''' sections 26 and 27 in Munkres' textbook (Topology, 2nd edition). Remember that reading math isn't like reading a novel! If you read a novel and miss a few details most likely you'll still understand the novel. But if you miss a few details in a math text, often you'll miss everything that follows. So reading math takes reading and rereading and rerereading and a lot of thought about what you've read. Also, '''preread''' sections 28 and 29, just to get a feel for the future.
  
 
===Doing===
 
===Doing===
Solve the following problems from Munkres' book, though submit only the <u>underlined</u> ones: Problems ?? on page ???, and problems ?? on pages ???.
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Solve the following problems from Munkres' book, though submit only the <u>underlined</u> ones: Problems 1, <u>4</u>, <u>5</u>, 6, <u>7</u>, 8, <u>9</u>, 12 on pages 170-172, and problem <u>2</u> on page 177. (For the last, recall that <math>d(x,A):=\mbox{inf}_{a\in A}d(x,a)</math>).
  
 
===Due date===
 
===Due date===
This assignment is due at the end of class on Thursday, November 4, 2010.
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This assignment is due at the end of class on Thursday, November 11, 2010.
  
 
{{Template:10-327:Dror/Students Divider}}
 
{{Template:10-327:Dror/Students Divider}}
  
* Hi Dror if it is due on Nov.4th how come it is still not assigned yet? we have only 4 days to complete it? -Kai[[User:Xwbdsb|Xwbdsb]] 01:34, 30 October 2010 (EDT)
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*Question. In 4. By bounded metric space you mean there exists a point and an epsilon where this epsilon nbd contains everything in the metric space? -Kai
** It still says "in preparation" and it's a bit early to ask about this assignment.
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** Indeed so, though usually when talking about boundedness, people use the letter <math>M</math> and not the letter <math>\epsilon</math>. It makes no difference, of course.

Latest revision as of 22:54, 10 December 2010

Reading

Read sections 26 and 27 in Munkres' textbook (Topology, 2nd edition). Remember that reading math isn't like reading a novel! If you read a novel and miss a few details most likely you'll still understand the novel. But if you miss a few details in a math text, often you'll miss everything that follows. So reading math takes reading and rereading and rerereading and a lot of thought about what you've read. Also, preread sections 28 and 29, just to get a feel for the future.

Doing

Solve the following problems from Munkres' book, though submit only the underlined ones: Problems 1, 4, 5, 6, 7, 8, 9, 12 on pages 170-172, and problem 2 on page 177. (For the last, recall that d(x,A):=\mbox{inf}_{a\in A}d(x,a)).

Due date

This assignment is due at the end of class on Thursday, November 11, 2010.

Dror's notes above / Student's notes below
  • Question. In 4. By bounded metric space you mean there exists a point and an epsilon where this epsilon nbd contains everything in the metric space? -Kai
    • Indeed so, though usually when talking about boundedness, people use the letter M and not the letter \epsilon. It makes no difference, of course.