EXPERIMENTS FOR NUMERICAL METHODS
Low cost, low space, low setup time experiments have been developed for a course in numerical methods. Read the following paper to find out how the experiments are being implemented and assessed in the classroom. 

The Length of a Curve
This experiment illustrates the difference in using curve fitting with polynomial interpolants and spline interpolants.
To the student: A handout is given to the students that gives the background information on the experiment, how to collect the data, and exercises that need to solved.
To the Instructor: Do you want to put this experiment together for your class? Find out to see what materials you need to buy, where you can buy the materials, and how much it costs.
Experimental Data: If you do not want to conduct the experiment but want the data.
Topics Covered: Interpolation and Integration




Strains in a Loaded Truss
This experiment illustrates the use of simultaneous linear equations in finding the forces in the members of a truss.
To the student: A handout is given to the students that gives the background information on the experiment, how to collect the data, and exercises that need to solved.
Experimental Data: If you do not want to conduct the experiment but want the data.
Topics Covered: Simultaneous Linear Equations 



Cooling a Aluminum Cylinder in Iced Water
This experiment illustrates several key concepts of numerical methods, mainly regression to find physical constants from the collected data.
To the student: A handout is given to the students that gives the background information on the experiment, how to collect the data, and exercises that need to solved.
Experimental Data: If you do not want to conduct the experiment but want the temperature vs time data. You will need to look at the handout also to get other needed data.
Topics Covered: Regression, Nonlinear Equations, Integration, Ordinary Differential Equations, Differentiation 



Twisting a Mousetrap Spring This experiment illustrates the concept of regression to find the constants of a linear model of a torsional spring. Integration is used to find the torsional energy stored in the spring. 'To the student: A handout is given to the students that gives the background information on the experiment, how to collect the data, and exercises that need to solved.
Experimental Data: If you do not want to conduct the experiment but want the forces vs angle data. Topics Covered: Regression, Integration 



Hold Your Water in a Champagne Glass
This experiment illustrates several key concepts of numerical methods, mainly spline interpolation and integration.
To the student: A handout is given to the students that gives the background information on the experiment, how to collect the data, and exercises that need to solved.
To the Instructor: Do you want to put this experiment together for your class? Find out to see what materials you need to buy, where you can buy the materials, and how much it costs.
Experimental Data: If you do not want to conduct the experiment but want the radius vs height data.
Topics Covered: Interpolation, Integration 



Where is the center  the center of gravity
The motivation behind this experiment is to understand spline interpolation and integration to find the center of mass of a thin plate of arbitrary shape
To the student: A handout is given to the students that gives the background information on the experiment, how to collect the data, and exercises that need to solved.
To the Instructor: Do you want to put this experiment together for your class? Find out to see what materials you need to buy, where you can buy the materials, and how much it costs.
Experimental Data: If you do not want to conduct the experiment but want the height vs length data.
Topics Covered: Interpolation, Integration 
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Copyrights: University of South Florida, 4202 E Fowler Ave, Tampa, FL 336205350. 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, 0836916, 0836805. 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 AttributionNonCommercialNoDerivs 3.0 Unported License. 
