Roots finding Methods using MATLAB, Zeros of Equation for Algebraic Equations and Transcendental Equations.
Course Description
The primarily objective of this course is to help the leaner to learn quickly the first steps. The prominence here is ‘learning by doing“. So, the best technique to learn is by trying it yourself. Working through the examples will give you a feel for the way that MATLAB operates. In these sessions we will show you how MATLAB handles simple numerical expressions and mathematical formulas.
The name MATLAB stands for MATrix LABoratory .In the pre–computer era, the time and drudgery of implementing such calculations seriously limited their practical use. However, with the advent of fast, inexpensive digital computers, the role of numerical methods in engineering and scientific problem solving has exploded.
I believe that numerical methods should be a part of every engineer’s and scientist’s basic education.
The sequence of video lectures covers the numerical methods for Root Finding (Solving Algebraic Equations) from theory to implementation. The two major classes of methods available are distinguished by the type of initial guess.
• Bracketing methods. :As the name implies, these are based on two initial guesses that “bracket” the root—that is, are on either side of the root.
• Open methods: These methods can involve one or more initial guesses, but there is no need for them to bracket the root.
In this course, three methods on iteration based and accuracy based are reviewed and implemented using MATLAB. Built-in capabilities of MATLAB are also used to perform numerical computations, which are very useful in enormous fields of applied science and engineering, including Root finding and equation solving.
The main aim of this course is to prepare base for understanding engineering analysis software and develop logical sequencing for solution procedure and skills in soft computing.
John W. Tukey told “Be approximately right rather than exactly wrong”
This is very important as an Engineer.
