Posts Tagged ‘chart’
Tuesday, December 29th, 2009
How to Construct a Cayley Table
Description
A detailed tutorial on how to construct a Cayley table. Step by step tutorial including several examples of how to construct a Cayley table for reference.
Overview
A Cayley table is a table that expresses the structure of a finite set. A Cayley table is set up by having the elements of the set across the first row, and numbers going in a numerical order of n + 1 starting at 1 down the first column. Sometimes the table is simply different ways the elements can be ordered. Other times is is a true table, where an operation is performed between two numbers in the space where they cross each other. However, a true Cayley table must be constructed using an identity skeleton. Once an identity skeleton for the finite set has been decided on, the Cayley table can be filled out using the identity skeleton. Since there is more than one possible identity skeleton for a finite set, you may have to go through a trial and error process until you find the right one.
Tags: addition, Cayley, chart, column, cross, discrete math, division, elements, error, finite, graph, identity, multiplication, operation, order, process, row, set, skeleton, subtraction, table, trial
Posted in Discrete Math | No Comments »
Thursday, December 10th, 2009
How to Join Tables and Charts
Description
A detailed tutorial on how to join tables and charts. Step by step tutorial including several examples on how to join tables and charts for reference.
Overview
A table, also referred to as a chart, is a way to record certain information so you can match it up quickly. They are very useful and are used in business all the time. It is possible to join certain tables. Provided that the tables share at least one common element, it is possible to combine them to form a new chart. Typically when you join tables you will either increase your columns and decrease your rows, or increase your rows and decrease your columns, depending on what way your graph is oriented and what elements are the same. Sometimes rows or columns may remain the same, but if both remain the same, then that means there is no join – it means you have the same exact chart.
Tags: algebra, business, chart, column, combine, common, decrease, element, graph, increase, information, join, record, row, table
Posted in Algebra | No Comments »
Thursday, November 12th, 2009
How to Make a Histogram
Description
A detailed tutorial on how to make a histogram. Step by step tutorial including several examples on how to make a histogram for reference.
Overview
A histogram is similar to a bar chart or bar graph, only it cannot go in either direction – histograms can only have vertical bars. The main difference between them is that bar charts and bar graphs can be used to show the number of items in a category. Histograms are used between two sets of numbers, to show which numbers relate to each other. The numbers themselves each fall under their own category. This is a very common chart to see in the later levels of math, especially statistics, as they reflect statistical data.
Tags: algebra, bar, category, chart, data, difference, graph, histogram, horizontal, number, relationship, set, statistics, vertical
Posted in Algebra | No Comments »
Tuesday, November 10th, 2009
How to Make a Circle Graph
Description
A detailed tutorial on how to make circle graphs. Step by step tutorial including several examples of how to make circle graphs for reference.
Overview
Circle graphs, also referred to as pi charts to avoid confusing them with graphs on the coordinate plane, are graphs in the shape of a circle that deal with a specific set of data. Circle graphs deal with percentages of a whole. The title of the circle graph is your whole, and the circle represents the whole. Then the circle is cut off into different percentages, and each is labelled with the proper category and exactly what percent it is meant to represent. Very often each section of the circle will be a different color to avoid confusion.
Tags: algebra, categories, category, chart, circle, color, data, different, graph, label, percent, percentage. title, pi, represent, section, set
Posted in Algebra | No Comments »
Tuesday, November 10th, 2009
How to Make a Bar Graph
Description
A detailed tutorial on how to make bar graphs. Step by step tutorial including several examples on how to make a bar graph for reference.
Overview
A bar graph, also referred to as a bar chart as to not be confused with graphs on the coordinate plane, is a visual expression of a set of data. Bar graphs deal with the real numbers in specific data sets. Typically they are split up into more than one category. A bar is drawn on each category extending to the number associated with that category. Traditionally, bar graphs need to have a title, an assigned label to each axis, and a certain pattern to continue writing numbers in.
Tags: algebra, axis, bar, categories, category, chart, graph, label, number, pattern, set, title, visual
Posted in Algebra | No Comments »
Friday, October 30th, 2009
How to Solve Work Rate Problems
Description
A detailed tutorial on solving work rate problems. Step by step tutorial including several examples of work rate problems for reference.
Overview
A work rate problem is a word problems that asks you to calculate the amount of time it will take to do something with two different rates of work. They first show up in basic algebra courses but work rate problems get more complicated and will continue on even in calculus. It is easier to solve work rate problems if you use a chart. First, you need to find the task rate – the rate at which each person is doing something. You do this by dividing the number of tasks (which should be one) by how many hours it takes them to finish it. Then you choose a variable for time. Your task will take that variable divided by the number of hours. You should come up with 2 (or more) results for task. Add these results together and have them equal the number of people there are total working on the task. Then solve for your time variable. Sometimes it will be difficult to solve for the time variable without using an algebra trick of multiplication to change the numbers a bit.
Tags: add, algebra, calculate, Calculus, chart, divide, hours, problem, proportion, rate, task, time, variable, word, work
Posted in Algebra | No Comments »
Thursday, October 8th, 2009
How to Use the Second Derivative Test
Description
A detailed tutorial on how to use the second derivative test. Step by step tutorial including several examples of how to use the second derivative test for reference.
Overview
The second derivative test is more well-known than the first derivative test, and is often thought to be more accurate. The second derivative test states that if the second derivative of a function is less than zero, then there is a local maximum at x. If the second derivative of a function is greater than zero, then there is a local minimum at x. However, if the second derivative of a function is equal to zero, then the local maximum or minimum cannot be determined. Then you must use the first derivative test to figure it out. The second derivative test can also be used to figure out the concavity of a function – that is, if a curve is pointing up or down. This is normally used to help create the image of the function on a graph.
Tags: Calculus, chart, concavity, critical points, curve, derivative, equals, extrema, extremum, first derivative test, function, graph, Math, maxima, maximum, minima, minimum, negative, positive, second derivative test
Posted in Calculus | No Comments »
Thursday, October 8th, 2009
How to Use the First Derivative Test
Description
A detailed tutorial on how to use the first derivative test. Step by step tutorial including several examples of how to use the first derivative test for reference.
Overview
The first derivative test involves taking the derivative of a function that you would like to find the local maximum or minimum of. Once you have the derivative, you must determine if the function is increasing or decreasing. If the derivative is positive, the function is increasing, and when the derivative is negative, the function is decreasing. If the derivative cannot be determined as positive or negative, then the test fails.
Tags: Calculus, chart, critical points, decreasing, derivative, extrema, extremum, first derivative test, function, graph, increasing, Math, maxima, maximum, minima, minimum, negative, positive, second derivative test
Posted in Calculus | No Comments »
Thursday, September 24th, 2009
How to Solve the Maclaurin Series
Description
A detailed tutorial on the solving of a Maclaurin series. Step by step tutorial including several examples of how to solve a Maclaurin series for reference.
Overview
A Maclaurin series is a Taylor series that is centered at zero instead of one of the other numbers. A Taylor series is a representation of a function as an infinite sum calculated from the values of its derivatives at a single point. A Maclaurin series can be expressed like this:
The only difference is that a Maclaurin series will be centered at the point zero. Many Maclaurin series, specifically e to the x, can easily be memorized so solving by a chart would not be necessary.
Tags: Calculus, chart, derivatives, factorial, function, infinite sum, Maclaurin series, Math, point, Taylor series, value, zero
Posted in Calculus | No Comments »
Thursday, September 24th, 2009
How to Solve the Taylor Series
Description
A detailed tutorial on the solving of a Taylor series. Step by step tutorial including several examples of how to solve a Taylor series for reference.
Overview
A Taylor series is a representation of a function as an infinite sum calculated from the values of its derivatives at a single point. If the series is centered at zero, then it is called a Maclaurin series, even though it is still a Taylor series. A Taylor series can be expressed as
A more compact form of which is 
A popular way to solve a Taylor series is by using a chart to calculate all possible derivatives and set into their proper equations.
Tags: Calculus, chart, derivatives, factorial, function, infinite sum, Maclaurin series, Math, point, Taylor series, value, zero
Posted in Calculus | No Comments »
