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Five things I have learned about Wikiversity:

  1. "Wiki" means that one can edit the pages.
  2. The edit toolbar gives one-click access to 14 common editing tasks.
  3. A new Wikiversity page is created by adding the name of the page to
  4. Wikiversity was launched at Wikimania 2006.
  5. Whereas Wikipedia has articles (single page entities), Wikiversity has learning projects, which are multi-page entities devoted to learning, based on a particular topic.

A complicated math formula(Taylor's Theorem):

where is an integer and is a function differentiable times.

What is the convergence rate of the Newton Fixed Point Iteration?


Which of the following root-finding algorithms converges the fastest?

Secant Method.
Regula Falsi Method
Newton's Method.
Eeny Meeny Miny Moe Method.


Which numerical integration method has an error of O(Δx^4)?

Trapezoid Rule.
Midpoint Rule.
Simpson's Rule.
Murphy's Law.

On 10/17/2012 I edited the Numerical Analysis ODE Exercises page and added an exercise using the Runge-Kutta 4 method. The page is at .


For my Math 5600 Final Project, I plan to improve the proof of quadratic convergence of Newton's Method on Wikiversity.

The proof you refer to is on Wikipedia, not Wikiversity, so it is not appropriate for a Wikiversity project. If you want to work on Newton's method, you could
  1. Move the content of The Newton's method to a page under Topic:Numerical analysis where it belongs and fix it up.
  2. Move the content of Exercises_and_quiz to two pages under Topic:Numerical analysis where it belongs and fix them up.
  3. Find something else new to add to Wikiversity about Newton's method.
Mjmohio (talk) 18:22, 7 November 2012 (UTC)
The more I consider this, the more I think you would be better off chosing a fresh topic. Mjmohio (talk) 18:43, 7 November 2012 (UTC)

Final Project Report:

For my final project, I created a Loss of Significance topic page for Wikiversity. Specifically, I created a number of exercises that illustrate the use of the formula

for determining a bound on the loss of significance. I feel that concepts and theorems are always clarified by examples, and thought it would be worthwhile to present some examples of this theorem. I presented several specific examples of subtraction problems that can result in loss of significance, and a generalized example using


The Wikipedia Loss of Significance page is at w:Loss of significance and the Wikiversity page I made is at .

Another thing I think is lacking on the Wikipedia page is reducing loss of significance by posing the problem differently. I tried to address that in my exercises as well.

I hope to add more exercises and improvements to this Wikiversity topic in the future. Gc953496 (talk) 23:07, 24 November 2012 (UTC)