EML3041

Computational Methods

Summer 2013

Mechanical Engineering

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What are numerical methods?

Numerical methods are techniques to approximate mathematical procedures (example of a mathematical procedure is an integral). 

Approximations are needed because we either cannot solve the procedure analytically (example is the standard normal cumulative  distribution function)

Acknowledgement: http://en.wikipedia.org/wiki/Normal_distribution       

 

or because the analytical method is intractable (example is solving a set of a thousand simultaneous linear equations for a thousand unknowns). 

In this course, you will learn the numerical methods for the following mathematical procedures and topics - Differentiation, Nonlinear Equations, Simultaneous Linear Equations, Interpolation, Regression, Integration, and Ordinary Differential Equations.  Calculation of errors and their relationship to the accuracy of the numerical solutions is emphasized throughout the course. 

Complementary resources for the course have been made specific for the syllabus of the USF EML3041 course.  It is in your best interest to use them to enhance your course experience (in many cases this interest will get reflected in your course grade).

Read tweets, poems, nursery rhymes, get alumni advice and listen to a rap song about the numerical methods course. 

Copyrights: UnCreative Commons Licenseiversity of South Florida, 4202 E Fowler Ave, Tampa, FL 33620-5350. All Rights Reserved. Questions, suggestions or comments, contact kaw@eng.usf.edu  This material is based upon work supported by the National Science Foundation under Grant# 0126793, 0341468, 0717624,  0836981.  Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.  Other sponsors include Maple, MathCAD, USF, FAMU and MSOE.  Numerical Methods for Undergraduates by http://nm.MathForCollege.com  is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 United States License.  Based on a work at nm.MathForCollege.com