Dror Bar-Natan: Classes: 2002-03: Math 157 - Analysis I: | (159) |
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Assigned Tuesday January 14; due Friday January 24, 2PM at SS 1071

this document in PDF: HW15.pdf

All of Spivak Chapter 15.

From Spivak Chapter 15: 2 (even parts), 4 (even parts), 9, 15, 18.

From Spivak Chapter 15: 2 (odd parts), 4 (odd parts), 7, 14, 27.

drorbn@coxeter:~/classes/157AnalysisI:1 math Mathematica 4.1 for IBM AIX Copyright 1988-2000 Wolfram Research, Inc. In[1]:= n = 1000; t[i_] := -1. + 2i/1000; f[x_] := Sqrt[1 - x^2] In[2]:= 2 * Sum[f[t[i]]*(t[i] - t[i - 1]), {i, 1, 1000}] Out[2]= 3.14149

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Dror Bar-Natan 2003-01-14