BACKGROUND: From the earliest times of approximating Pi by the Greek mathematician Archimedes (in 250 BC) to the finite elements methods used in developing nanomachines (in 2007AD), computational methods (also called numerical methods) has been the key to technological development.  Read student essays that used the above paragraph as a lead sentence. 

 

WHAT IS THE COURSE ABOUT?  You will learn how to model engineering problems as mathematical procedures.  These procedures need to be solved numerically, so one needs to learn the numerical methods.  You will conduct error analyses to see how accurate your results are, and if they are acceptable within a predetermined tolerance.  Once you have the results, you will learn how to implement the solution.

 

You will first learn about

  • Mathematical Modeling,

  • Definition, types and sources of errors,

and then how to numerically solve problems that need solution of the following mathematical procedures.

  • Differentiation,

  • Non-linear equations,

  • Simultaneous linear equations,

  • Interpolation,

  • Regression,

  • Integration,

  • Ordinary differential equations.

Read student poems about the numerical methods course.

 

WHAT ARE THE AVAILABLE RESOURCES FOR THIS COURSE? Your main resource is the Lectures & Handouts page.  Here you will be to able to access the handouts given in class, HW assigned in class and page numbers assigned to read.  This page is updated as a courtesy, may not be updated before the next class, and is NOT a substitute for missing class.

 

The resources available to you are the Sample Quizzes and Sample Prog HW. You can refresh your MATLAB programming skills by visiting EML 3035 Page. 

 

We have developed a multiple-award winning website for Numerical Methods that is accessed worldwide more than 15,000 times a month.  The site is sponsored by the National Science Foundation (January 2002 to December 2010) and is ranked#10 out of 2.2 million hits in Google Search for numerical methods. 

 

The website is the place to access more examples, simulations, and forgotten background information. I will be linking related resources from the website in Lectures & Handouts page as needed, but you can explore them on your own.