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Colorado  CSCI 3656
 Colorado
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 Quick Reference for the Civil Engineering PE Exam, SixMinute Solutions for Structural I PE Exam Problems, Casenote Legal Briefs: Property  Keyed to Casner, Leach, French, Korngold & Vandervelde, Casenote Legal Briefs Taxation: Keyed to Burke and Friel, Quick Reference for the Civil Engineering PE Exam

ElementsOfMATLAB
School: Colorado
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Assignment12
School: Colorado
Course: Numerical Computation
Assignment 12 CSCI 3656 due April 21, 2011 1. (a) On your computer approximate the derivative of the function f (x) = 2.0/(x2 + 3.2) exp(1.2x) at the point x = 1.3 using a two point forward dierence formula. Use as denominators the values h = 2k for k =

Assignment11
School: Colorado
Course: Numerical Computation
Assignment 11 CSCI 3656 due April 14, 2011 1. The following set of simulated data gives the quantity of a decaying substance at various times. The substance is composed of three isotopes with decay rates 0.0, 0.8, and 0.9. If the initial quantities are de

Assignment10
School: Colorado
Course: Numerical Computation
Assignment 10 CSCI 3656 due April 7, 2011 1. Given data (xi , yi ) for i = 1, . . . , n, in order to compute the cubic spline coecients (bi , ci , di ), you must (i) set up the equations (3.30) on page 175, (ii) solve the tridiagonal system by Gaussian el

Assignment9
School: Colorado
Course: Numerical Computation
Assignment 9 CSCI 3656 due March 31, 2011 1. Suppose you constuct a polynomial approximation to the function f (x) = ln(x) on the interval [1,3]. If you use n equally spaced points, give an upper bound for the interpolation error using the error bound for

Assignment8
School: Colorado
Course: Numerical Computation
Assignment 8 CSCI 3656 due March 17, 2011 1. For the data (xi , yi ) = (0, 6.0) (1, 4.0) (2, 3.0), (4, 7.0), a) Write down the Lagrange form of the interpolating polynomial p(x). (There is no need to algebraically multiply out the polynomial. Leave it in

Assignment7
School: Colorado
Course: Numerical Computation
Assignment 7 CSCI 3656 due March 3, 2011 1. In Matlab the command A=hilb(10) will produce an 10 10 Hilbert matrix, i.e. A(i, j ) = 1/(i+j 1). Compute the right hand side vector b = Av , where v = [1, 2, 3, 4, 5, 1, 2, 3, 4, 5]T . (a) Solve the system Ax =

Assignment6
School: Colorado
Course: Numerical Computation
Assignment 6 CSCI 3656 due February 24, 2011 1. (a) By hand use Gaussian elimination with scaled partial pivoting to nd the P, L and U factors of the matrix A: 2 4 1 2 A= 4 4 12 10 ; 6 Verify that P A = LU (b) Now use P, L, and U to solve Ax = b, where 2

Assignment5
School: Colorado
Course: Numerical Computation
Assignment 5 CSCI 3656 due February 17, 2011 1. Solve the following system Ax = b by Gaussian elimination with partial pivoting. Use the partial pivoting rule described in class and in Section 2.4.1 of the text. Show all the steps. 4 A= 2 2 2 6 8 3 3 ; b

Assignment4
School: Colorado
Course: Numerical Computation
Assignment 4 CSCI 3656 due February 10, 2011 1. Given that the distance in meters fallen from rest by a skydiver is y (t) = ln(cosh(t g k )/k. compute the time taken to fall 85 meters using Newtons method. Here, gravitational acceleration g = 9.8065 m/s/s

Assignment3
School: Colorado
Course: Numerical Computation
Assignment 3 CSCI 3656 due February 3, 2011 1. Write a program to nd a root of a given equation f (x) = 0 by the method of bisection. Specications a) It should accept as input two starting points whose function values have opposite signs and a stopping to

Assignment2
School: Colorado
Course: Numerical Computation
Assignment 2 CSCI 3656 due January 27, 2011 1. Find a more accurate way to calculate each of the following quantities. a) (x + a)3 a3 ; x close to 0, a near 1. b) (x y ) 1/(x + 2y ) when x > y > 0 1/ c) 1 + 6h 1; h near 0. 2. The quantity Q may be compute

Assignment1
School: Colorado
Course: Numerical Computation
Assignment 1 CSCI 3656 due January 20, 2011 1. Express the following decimal quantities in binary: 26, 3/8, 91, 39/64. Now express each as rounded normalized machine numbers with base 2 and 4 bits of precision. 2. Consider a hypothetical computer using ba

MolecularDynamics
School: Colorado
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IEEEArithmetic
School: Colorado
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Review1
School: Colorado
February 4, 2009 3. Special matrices and what they do or what their advantages are (a) identity (b) elimination (type of elementary matrix) (c) permutation (d) tridiagonal (e) symmetric 4. P A = LU (a) Existence (can be computed for every matrix) (b

Assignment13
School: Colorado
Course: Numerical Computation
Last Assignment CSCI 3656 due April 28, 2011 1. Consider the initial value problem y (t) = 1.0/(1.0 + t2 ) 2.0[y (t)]2 . y (0) = 0 2 The exact solution is y (t) = t/(1.0 + t ). Write a program to solve this problem on the interval [0,5] using Eulers metho