1617-257/Homework Assignment 8: Difference between revisions
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{{In Preparation}} |
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==Reading== |
==Reading== |
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Read, reread and rereread your notes to this point, and make sure that you really, really really, really really really understand everything in them. Do the same every week! Also, read, reread and rereread sections 11-12 of Munkres' book to the same standard of understanding. 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 section 13, just to get a feel for the future. |
Read, reread and rereread your notes to this point, and make sure that you really, really really, really really really understand everything in them. Do the same every week! Also, read, reread and rereread sections 11-12 of Munkres' book to the same standard of understanding. 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 section 13, just to get a feel for the future. |
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'''Solve''' ''all'' the problems in section 12, but submit only your solutions of problem 3. In addition, solve and submit your solution of the following problem: |
'''Solve''' ''all'' the problems in section 12, but submit only your solutions of problem 3. In addition, solve and submit your solution of the following problem: |
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<u>'''Problem A.'''</u> Let <math>Q=[0,1]^3</math> and let <math>f\colon Q\to{\mathbb R}</math> be given by <math>f(x,y,z)=1</math> if <math>x<y<z</math>, and <math>f(x,y,z)=0</math> otherwise. Compute <math>\int_Qf</math>. (You may assume without proof that <math>f</math> |
<u>'''Problem A.'''</u> Let <math>Q=[0,1]^3</math> and let <math>f\colon Q\to{\mathbb R}</math> be given by <math>f(x,y,z)=1</math> if <math>x<y<z</math>, and <math>f(x,y,z)=0</math> otherwise. Compute <math>\int_Qf</math>. (This problem is merely about computations. You may assume without proof that <math>f</math> and all other functions you may encounter along the computation are integrable). |
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==Submission== |
==Submission== |
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Latest revision as of 15:55, 22 November 2016
Reading
Read, reread and rereread your notes to this point, and make sure that you really, really really, really really really understand everything in them. Do the same every week! Also, read, reread and rereread sections 11-12 of Munkres' book to the same standard of understanding. 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 section 13, just to get a feel for the future.
Doing
Solve all the problems in section 12, but submit only your solutions of problem 3. In addition, solve and submit your solution of the following problem:
Problem A. Let and let be given by if , and otherwise. Compute . (This problem is merely about computations. You may assume without proof that and all other functions you may encounter along the computation are integrable).
![{\displaystyle Q=[0,1]^{3}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/185a3872cd502e733135b57f23d0d45eed50ceb6)
Submission
Here and everywhere, neatness counts!! You may be brilliant and you may mean just the right things, but if the teaching assistants will be having hard time deciphering your work they will give up and assume it is wrong.
This assignment is due in class on Wednesday November 23 by 2:10PM.
Important
Please write on your assignment the day of the tutorial when you'd like to pick it up once it is marked (Wednesday or Thursday).
