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MERLOT Search  category=2513&materialType=Simulation&sort.property=dateCreated
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Matrix Properties
http://www.merlot.org/merlot/viewMaterial.htm?id=915092
Given an (mxn) matrix, this tool generates the dimensions and a basis for each of the four subspaces: column space, null space, row space, and left null space.

GramSchmidt Orthogonalization
http://www.merlot.org/merlot/viewMaterial.htm?id=908371
A set of n vectors each with n values may form a basis for a vector space. However, in general these are not normalized (length is 1) nor are they orthogonal. A procedure to form an orthonormal basis for the vector space is called GramSchmidt orthonormalization. This site cotains a tool that computes the orthonormal basis numerically with the full precision of the floating point numbers.

Euclid, The Game
http://www.merlot.org/merlot/viewMaterial.htm?id=908593
Euclid, The Game is a web application built on the GeoGebra platform. Players begin the game with the capabilities outlined in Euclid's postulates such as constructing line segments between two points or constructing circles of a given radius centered at a given point.Players then are required to complete a sequence of tasks similar to Euclid's Elements. These tasks include constructing equilateral triangles, perpendicular lines, and other increasingly complex constructions. This game gives players an accessible and userfriendly experience of Euclidean geometry without the hassle of physical compasses or straightedges.

InstaCalc
http://www.merlot.org/merlot/viewMaterial.htm?id=907572
InstaCalc is a customizable calculator designed with the user in mind. Users can specify operations and relationships between entry and output cells and format their own custom designs such as unit converters, loan interest calculators, etc.The platform allows users to save each custom calculator and to copy and embed the code elsewhere so that the calculator can appear on the user's own website.

Trigonir App for iPad
http://www.merlot.org/merlot/viewMaterial.htm?id=881519
'Trigonir© is a product of a long lasting career in education. Teachers of mathematics have long been searching for a way to present trigonometric functions to students in an easy to understand yet professional manner, since the expression sine alone tends to evoke a feeling of discomfort among quite a few students.This learning aid is the result of this consideration and has already been tested in various schools in Europe. Trigonir© brings forth a new, creative and interesting approach to analyzing and using trigonometric functions, which renders them understandable to all students, including those, who are not very fond of mathematics.Trigonir© is comprised of two planes that are connected and movable. The bottom plane has the unit circle, angles from 0° to 360°, the tangent and cotangent axis as well as the values of trigonometric functions for basic angles inscribed on it. Red color is used to emphasize the negative values of trigonometric functions.The upper plane has only one axle inscribed on it and can be moved circularly in order to determine various attributes of trigonometric functions for various angles.Trigonir© enables us to determine the following properties of trigonometric functions:  domain and co domain of functions,  zeros of functions, points where a function is not defined , increasing and decreasing of the function, positive/negative values, periodicity, evenness and oddness of a function,  accurate value of basic angles, and properties of inverse functions (arcsin α, arccos α , arctan α , arccot α).The objectives of the learning aid Trigonir© are: less time spent on handling trigonometric functions, a more interesting presentation of the subject, a more active involvement of students during lessons, and making studying easier and more independent.'This app costs $1.99

Touch Natural Numbers App for Android
http://www.merlot.org/merlot/viewMaterial.htm?id=864906
Small interactive laboratory of Natural Numbers:The Prime numbers are the building blocks of the numbers.With this app you can:Analyze the factors of a Composite number.Build a Composite number from its factors. (multiplication and division of Natural Numbers)Localize or select a number in the Ulam Spiral.(Only the Prime Numbers have a color in this spiral).Verify all the possible products between Primes in a composite number with the Parabolic Sieve.Analyze or build a number with the Place Value activity (Addition and Subtraction of Natural Numbers)Understand the Modulo of a number.This is a free Android math app. No ads.

3D Fractals using Biocomplex Dynamics
http://www.merlot.org/merlot/viewMaterial.htm?id=855086
The Tetrabot is the complex generalization of the Mandelbrot set as realized by Dr. Dominic Rochon. His website features a collection of his written academic work about fractals that has appeared in articles, journals, and textbooks. In addition, he provides pictures, news, and other downloads.

Whole Calculator App for Android
http://www.merlot.org/merlot/viewMaterial.htm?id=850283
Calculator in the set of the natural numbers (ℕ). And is able to write all the natural numbers with words.When the result leaves the set of natural numbers, this calculator points to the need of to upgrade to a calculator with more features. ( ℤ calculator or ℚ calculator).Type the numerical operations and results in words.Writing numbers :The app writes correctly from from the one (10^0) until the centillion (10^303).This is a free app.

NewtonRaphson Root Finder
http://www.merlot.org/merlot/viewMaterial.htm?id=827001
A Java implementation of the NewtonRaphson method used to find roots of realvalued functions.

Graphical representation of eigenvectors
http://www.merlot.org/merlot/viewMaterial.htm?id=821150
The Graphical representation of eigenvectors simulation aims to help students make connections between graphical and mathematical representations of eigenvectors and eigenvalues. The simulation depicts the two components of a unit vector in the xyplane, and the same vector under several different transformations that can be chosen by the user. A slider allows students to change the orientation of the initial vector. The simulation shows whether or not the vector is an eigenvector, and if so displays the associated eigenvalue. The simulation includes a small challenge in asking students to find the elements of one of the transformation matrices 4. An accompanying activity for this simulation is available at http://quantumphysics.iop.org and at www.standrews.ac.uk/physics/quvis. The simulation can be downloaded from the QuVis website www.standrews.ac.uk/physics/quvis.This simulation is part of the UK Institute of Physics New Quantum Curriculum, see http://quantumphysics.iop.org. Simulations and accompanying activities can be accessed from the IOP site and from www.standrews.ac.uk/physics/quvis. Sharing of these resources is encouraged, with all usage under the Creative Commons CC BYNCND licence. Instructors can email quantumphysics@iop.org for activity solutions and to request to modify materials.