Assignment 3

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