The Space of Equation Sets
Reference Ayyub and McCuen Chapter 5
1
Types of Equations
There are three types of equation sets that can arise in engineering: Underdetermined Determined Overdetermined
2
Underdetermined
more unknowns than equations n<m Solut
LU Decomposition
The solution of linear equations How to find [L] and [U]
2002
1
The basic questions of: [A]cfw_x=cfw_b are: 1. Does a solution cfw_x exist (existence) 2. If a solution exists, is it unique (one solution or an infinity of solutions, unique
Programming Concepts 1 Introduction
Computer programs use variables to hold information. Variables can be of several dierent types: integers, character strings, real numbers, etc., to name a few. We will mostly deal with scalars, vectors and matrices of i
Curve Fitting and Parameter Estimation
Finding Physical Parameters Working With Experimental Data Reference Ayyub & McCuen Chapter 10
2002 1
In the real world
A big part of engineering is being able to measure physical phenomena. This could be:
Temperat
Numerical Differentiation and Integration
Reference Ayyub & McCuen Chapter 7
1
Numerical Differentiation
2
Why numerical?
Sometimes an analytical function is known but the derivative is not easily found. Sometimes an analytical function is not known, suc
Numerical Analysis for Mechanical Engineers (20-MECH-342)
Introduction Reference class syllabus
1
2
Professor Kumar Vemaganti
Office 629 Rhodes Hall
Office Hours MW 3:30-5:00 Other times by appointment (call/e-mail)
Phone - 556-2728 (time stamped voice
Matrix Definitions and Basic Matrix Operations
Reference Ayyub & McCuen Chapter 2
1
Matrices
Definitions
2
Matrix
A rectangular array of numbers Notation:
Capital letter Enclosed by square brackets, [ A ]
Defined by the number of rows and number of col