Entries Tagged as ‘Experiments for Numerical Methods’

September 21, 2008

Experimental data for the length of curve experiment

In a previous post (click on the link on the left to learn fully about the experiment, and the assigned problems), I talked

about an experiment we conduct in class to compare spline and polynomial interpolation.  If you do not want to conduct the experiment itself but want the (x,y) data to see for yourself how [...]

July 11, 2008

Experiment for spline interpolation and integration

Background:
The motivation behind the experiment is to understand spline interpolation and numerical integration by finding the volume of water that can be held by a champagne glass.
What does the student do in the lab:
The student chooses one of the odd-shaped champagne glasses (Figure 1). The student measures the outer radius of the champagne glass [...]

June 29, 2008

Length of a curve experiment

In a previous post, I mentioned that I have incorporated experiments in my Numerical Methods course. Here I will discuss the second experiment.
In this experiment, we find the length of two curves generated from the same points – one curve is a polynomial interpolant and another one is a spline interpolant.
Motivation behind the experiment: [...]

June 27, 2008

A legend used in the movie “The Happening”

Well M. Night Shyamalan may have made another disappointing movie – The Happening, but I somewhat liked it. I would give it a grade of B.
In the movie, John Leguzomo’s character, a math teacher, is distracting his fellow panicking passenger in the Jeep with a mathematical question. The question he asks her is [...]

June 7, 2008

An experiment to illustrate numerical differentiation, integration, regression and ODEs

Starting Summer 2007, five experiments have been introduced in the course in Numerical Methods at USF. I will discuss each experiment in a separate blog as the
summer trods along.
Experiment#1: Cooling an aluminum cylinder
The first experiment illustrates use of numerical differentiation, numerical integration, regression and ordinary differential equations. In this experiment, an aluminum [...]