Computational Methods: EML3041

SUMMER 2009

Holistic Numerical Methods

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Up Up in the Sky, Fly Rocket FlyWhat 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                                                                                                       (1)

or because the analytical method is intractable (example is solving a set of a thousand simultaneous linear equations with 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 are available at http://numericalmethods.eng.usf.edu but have been made specific for the syllabus of the USF EML3041 course at a separate site.  It is up to you to use them to enhance your course experience (in many cases will get reflected in your course grade).

Read tweets and poems, and listen to a rap song (mp3, YouTube) about numerical methods.

(1) http://en.wikipedia.org/wiki/Normal_distribution GNU General Public License

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://numericalmethods.eng.usf.edu is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 United States License.  Based on a work at numericalmethods.eng.usf.edu.