Thursday, December 24th, 2009
Finding the Function of a Directed Graph
Description
A detailed tutorial on finding the function of a directed graph. Step by step tutorial including several examples of finding functions of digraphs for reference.
Overview
A directed graph, more commonly known as a digraph, is the visual representation of a function or of a relation. As in any graph, there are points and lines – called vertices and edges in a digraph. Each edge has an arrow pointing to a vertex. The first vertex – the one the arrow comes from – is the x coordinate of an ordered pair. The second vertex – the one the arrow is pointing to – is the y coordinate of an ordered pair. In the case of double-sided arrows, two ordered pairs are made, with the x and y coordinates switching. This is done for every single vertex and edge on the graph.
Tags: arrow, coordinate. ordered, digraph, directed, discrete math, double, edges, expression, First, function, graph, lines, pair, points, relation, representation, second, side, vertex, vertices, visual, x, y
Posted in Discrete Math | No Comments »
Friday, November 13th, 2009
An Overview of Area Models
Description
A detailed tutorial on how to use area models. Step by step tutorial including several examples of how to use area models for reference.
Overview
An area model is used to help mutliply and divide integers. It is called an area model because of the way it is set up – it looks like you are solving for area when the model is used correctly. These models are typically composed of many small one by one squares, although different sizes can be used in order to make mulitplication and division earlier. Area models are used to provide a visual representation of the multiplication and division algorithms.
Tags: algorithms, area, arithmetic, division, integers, manipulatives, model, multiplication, rectangle, representation, square, visual
Posted in Arithmetic | No Comments »
Thursday, September 24th, 2009
Algorithms Explained
Description
A detailed tutorial on the solving of algorithms. Step by step tutorial including several example problems of how to solve algorithms for reference.
Overview
An algorithm is something that you will find at almost any level of math – the more advanced the level of math, the more advanced the algorithm will be. When you use an algorithm, what you are doing is solving a problem by using a finite sequence of instructions. The visual representation of an algorithm is a flow chart…every time you use a flow chart or sequence to solve a problem, even one that isn’t mathematical, you are using an algorithm.
Tags: algorithm, algorithms, calculation, Calculus, data processing, finite, flow charts, instructions, Math, representation, sequence, visual
Posted in Calculus | No Comments »
