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Assignment 3

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Matrices, Non-linear equations, symbolic solutions and integration

Reading assignment and Matlab exercises - Read the following documents:

On Matrices and Linear Algebra - Scripts for matrix documents [Read these documents and try these exercises on your own]

  1. Creating matrices (see script on matrix creation - download scripts in the link immediately above)
  2. Chapter 4 (Matrices and Linear Algebra) in the Using Matlab guide
  3. Chapter 9 (Sparse Matrices) in the Using Matlab guide
  4. Example of characteristic polynomial for a 2x2 matrix - pdf file showing a hand-written example

On Symbolic Functions with Matlab

  1. Script for symbolic functions in Matlab

On Elementary numerical methods - [Read these documents and try these exercises on your own]

  1. Solution of non-linear equations - Scripts
  2. Chapter 7 (Functions) in the Using Matlab guide
    • Read pages 7-10 through 7-12 for finding zeros of equations
    • Read pages 7-14 through 7-16 for numerical integration
  3. Examples from hydraulics - click here to download zip file with documentation and scripts - Examples included:
    • pipe flow
    • Manning's equation
    • pipe-pump system
    • entrance from a reservoir into a channel.

Additional reading materials - optional reading

  1. Moler's book Ch. 2 - Linear Equations
  2. Moler's book Ch. 10 - Eigenvalues and Singular Values
  3. Moler's book Ch. 3 - Zeroes and Roots
  4. Moler's book Ch. 6 - Quadrature

Problems to solve

Click here to download a pdf document with the problems to solve

Copyright 2008, by the Contributing Authors. Cite/attribute Resource . admin. (2006, May 17). Assignment 3. Retrieved January 07, 2011, from Free Online Course Materials — USU OpenCourseWare Web site: http://ocw.usu.edu/Civil_and_Environmental_Engineering/Numerical_Methods_in_Civil_Engineering/assign3.htm. This work is licensed under a Creative Commons License Creative Commons License