Homework
Note: Please use Latex to write your homework
Homework 1
Due on 08/30/2017
1.1, 1.2, 1.4, 1.5
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Homework 2
Due on 09/06/2017
hw2.pdf
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Homework 3
Due on 09/13/2017
1.26, 1.31, 1.32
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Homework 4
Due on 09/20/2017
2.2 (a),(d). Run Bisection, Newton's method, and the Secant method to .nd solutions to the following equations. Create a table showing the iteration number i, the iterate x_i , an error estimate, and an estimate of the order of convergence for each of the methods. Also, plot convergence of the error estimate.
2.12
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Homework 5
Due on 09/27/2017
2.21, 2.24, 2.28, 2.48, 2.50, 2.51
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Homework 6
Due on 10/04/2017
3.1, 3.6, 3.8, 3.21,3.24
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Homework 7
Due on 10/11/2017
1. 3.28, 3.29, 3.38
2. For n = 1, . . . , 10, generate the Newton divided difference polynomials that interpolates cos(x) for x ∈ [0, 2π], at n equally spaced points. Create an error table.
3. For n = 1, . . . , 5, construct Hermite interpolant that interpolates cos(x) for x ∈ [0, 2π], at n equally spaced points. Create an error table.
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Homework 8
Due on 10/18/2017
1. 3.42,3.43
2. Consider approximating f(x) = exp^(sin(x)) on [0, 2pi], using the triogometric interpolation Pn(t). Create an maximum error table for n=1,...,n.
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Homework 9
Due on 10/27/2017
4.1, 4.5, 4.6,4.10,4.12
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Homework 10
Due on 11/03/2017
4.16, 4.18, 4.21,4.23
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Homework 11
Due on 11/10/2017
4.30, 4.31, 4.34,4.37
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Homework 12
Due on 11/17/2017
5.1,5.2,5.3,5,9,5.10
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Homework 13
Due on 11/29/2017
5.14,5.15,5.17,5,19
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Homework 14
Due on 12/06/2017
5.23,5.31,5.37,5,40