HOMEWORK PROBLEMS for MATH 494
SET 7: Homework Problems (DUE Tuesday 04/26/05)
5.1 # 5.1.3, 5.1.6, 5.1.11
5.2 # 5.2.2, 5.2.3, 5.2.4, 5.2.16
5.3 # 5.3.2 (Shannon sampling theorem!), 5.3.4, 5.3.5, 5.3.10
5.4 # 5.4.2, 5.4.3, 5.4.11, 5.4.17, 5.4.18
5.5 # 5.5.7
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SET 6: Homework Problems (DUE Thursday 03/31/05)
4.3 # 4.3.2, 4.3.3, 4.3.4, 4.3.7 and bonus: 4.3.16
4.4 # 4.4.3, 4.4.6, 4.4.8(ii,iv,vii)
4.5 # 4.5.5
Also click here
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SET 5: Homework Problems (DUE 02/10 /05 - before spring break!)
3.3 # 3.3.4 (Haar filters), 3.3.5 (D4 filters)
4.1 # 4.1.8 (norm convergence vs. pointwise convergence),
4.1.9 (is this sequence Cauchy? Read the remark afterwards,
this example should make things more clear about
"convergent sequences vs. Cauchy sequences"
and complete spaces)
4.2 #4.2.4, 4.2.5, 4.2.6 (these are more proof-oriented
problems)
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SET 4: Homework Problems (DUE Tuesday 02/22/05)
BONUS! (toward homework):
plan on coming to the general lecture on PDE
on Monday 3:40-4:40pm in PSF 101
there are refreshments before at 3pm in PSA 203 (lounge)
Info:
Distinguished Lecture
3.1 #3.1.1 (iii,iv), 3.1.2, 3.1.10
3.2 #3.2.1, 3.2.2, 3.2.8
Solutions: pdf file
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SET 3: Homework Problems (DUE Tuesday 02/08/05)
2.1 # 2.1.6, 2.1.13, 2.1.17(ii - if needed, assume part i and 2.1.15, 2.1.16)
2.2 # 2.2.1, 2.2.3, 2.2.4, 2.2.7, 2.2.9, 2.2.10, 2.2.11(iv), 2.2.17
2.3 # 2.3.1, 2.3.3, 2.3.5, 2.3.6
Solutions: pdf file
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SET 2: Homework Problems (DUE Thursday 01/27/05)
1.5 # 1.5.4, 1.5.5, 1.5.6, 1.5.8, 1.5.9, 1.5.11
1.6 # 1.6.6, 1.6.19
Solutions: pdf file
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SET 1: Review problems (don't need to submit,
just make sure you know how to do them)
1.1 # 1.1.6
1.2 # 1.2.11 (i,iii,v,vi), 1.2.12 (i,ii,iii), 1.2.13, 1.2.15
1.3 # 1.3.9
1.4 # 1.4.5, 1.4.7, 1.4.13
Solutions: pdf file
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