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