Holistic Numerical Methods

Transforming Numerical Methods Education for the STEM Undergraduate




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The website called Holistic Numerical Methods Institute is a single stop for resources related to a typical course in Numerical Methods for undergraduates majoring in STEM (Science, Technology, Engineering and Mathematics) areas. 


Funded mainly by NSF since 2002 via four grants (2002-2016), we have developed, assessed, refined and disseminated the resources for topics of a comprehensive course in Numerical Methods.  Under the current grant, we are using the resources to compare flipped classroom with a blended class. 


You can access the existing resources by

  1. topics such as introduction to scientific computing differentiation, nonlinear equations, simultaneous linear equations, interpolation, regression, integration, ordinary differential equations.

  2. context in a holistic form, that is, primers to review information needed from pre-requisite courses such as Differential Calculus, Integral Calculus and Ordinary Differential Equations, textbooks on Numerical Methods with Applications and Introduction to Matrix Algebra, PowerPoint presentations, worksheets in various computational languages such as MATLAB, Maple, MATHEMATICA, and MathCAD, multiple-choice tests for each topic, anecdotes, descriptions of real world physical problems that require numerical methods, modular digital audiovisual class lectures, experiments that you can conduct to reinforce numerical methods, and blogs.

  3. class such as by procedure/mathematical package/engineering major, topic, resource type, computational package, and engineering major.

All these resources are available free of charge because we  believe in

  • Having open dissemination of educational materials, philosophy, and modes of thought, that will help lead to fundamental changes in the way colleges and universities utilize the Web as a vehicle for education" - MIT Open Course Ware.  No login or registration is ever required.

  • making a deliberate attempt to provide resources that can be used in a ala carte mode by making them pedagogically neutral so that they can be modified to suit anyone's needs.

There are many other ways to find the resources such as the search, site index, and an extended keyword list.  Many of the frequently asked questions are answered for you but if you have a question, please contact the PI at kaw@eng.usf.edu.


The traffic to the sites is high:  1000 unique visitors everyday to the website,  1200 video views on YouTube, and 400 blog views.


We have disseminated the resources via several avenues such as YouTube videos, conference and journal papers, conference presentations, and books. 


Copyrights: University 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# Creative Commons License0126793, 0341468, 0717624,  0836981, 0836916, 0836805, 1322586.  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.  Based on a work at http://mathforcollege.com/nm.  Holistic Numerical Methods licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License.