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115-2010-HW1

# 115-2010-HW1 - Please provide a copy of the double...

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University of California, Davis Department of Applied Science Fall 2010 David M. Rocke Numerical Methods EAD 115 September 29, 2010 Homework Assignment 1 Due October 6, 2010 1. Determine machine epsilon in both double and single precision for Excel Visual Basic. Here is a program to do this in single precision: Option Explicit Function MachEps() As Single Dim eps As Single, eps1 As Single, eps2 As Single eps = 1 Do eps1 = 1 + eps eps2 = eps1 - 1 If (eps2 <= 0) Then Exit Do End If eps = eps / 2 Loop MachEps = eps End Function
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Unformatted text preview: Please provide a copy of the double precision code, and the two machine epsilon values for single and double precision. 2. Do the following problems from the text: 4.3, 4.4, 4.12, 4.19 on pages 105–106. For problem 4.19, compute the derivatives for-2 . 00 ,-1 . 75 ,-1 . 50 , . . . , 2 . 00 using an Excel spreadsheet. Graph the exact derivative and each of the three approximations for the ±rst derivative on one graph, then do the same for the second derivative....
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