# GraphLimit Flash Applet Sample Problem

## Flash Applets embedded in WeBWorK questions GraphLimit Example

## Sample Problem with GraphLimit.swf embedded

*This sample problem shows how to use this versatile applet.*

A standard WeBWorK PG file with an embedded applet has six sections:

- A
*tagging and description section*, that describes the problem for future users and authors, - An
*initialization section*, that loads required macros for the problem, - A
*problem set-up section*that sets variables specific to the problem, - An
*Applet link section*that inserts the applet and configures it, (this section is not present in WeBWorK problems without an embedded applet) - A
*text section*, that gives the text that is shown to the student, and - An
*answer and solution section*, that specifies how the answer(s) to the problem is(are) marked for correctness, and gives a solution that may be shown to the student after the problem set is complete.

The sample file attached to this page shows this; below the file is shown to the left, with a second column on its right that explains the different parts of the problem that are indicated above. A screenshot of the applet embedded in this WeBWorK problem is shown below:

There are other example problems using this applet:

GraphLimit Flash Applet Sample Problem 2

And other problems using applets:

Derivative Graph Matching Flash Applet Sample Problem

USub Applet Sample Problem

trigwidget Applet Sample Problem

solidsWW Flash Applet Sample Problem 1

solidsWW Flash Applet Sample Problem 2

solidsWW Flash Applet Sample Problem 3

Hint Applet (Trigonometric Substitution) Sample Problem

Other useful links:

Flash Applets Tutorial

Things to consider in developing WeBWorK problems with embedded Flash applets

PG problem file | Explanation |
---|---|

##DESCRIPTION ## Graphical limits ## Sample problem to illustrate ## the use of the GraphLimit.swf ## Flash applet ##ENDDESCRIPTION ## KEYWORDS('limits') ## DBsubject('Calculus') ## DBchapter('Limits') ## DBsection('Graphical limits') ## Date('7/5/2011') ## Author('Barbara Margolius') ## Institution('Cleveland State University') ## TitleText1('') ## EditionText1('2011') ## AuthorText1('') ## Section1('') ## Problem1('') ########################################### # This work is supported in part by # the National Science Foundation # under the grant DUE-0941388. ########################################### |
This is the The description is provided to give a quick summary of the problem so that someone reading it later knows what it does without having to read through all of the problem code. All of the tagging information exists to allow the problem to be easily indexed. Because this is a sample problem there isn't a textbook per se, and we've used some default tagging values. There is an on-line list of current chapter and section names and a similar list of keywords. The list of keywords should be comma separated and quoted (e.g., KEYWORDS('calculus','derivatives')). |

DOCUMENT(); loadMacros( "PGstandard.pl", "AppletObjects.pl", "MathObjects.pl", ); |
This is the
The |

# Set up problem $qtype='limits'; $showHint = 0; if(time>$dueDate){ $showHint=1; } $x1=random(-8,-2,1); $x2=$x1+random(2,4,1); $x3=$x2+random(2,3,1); $x4=random($x3+2,7,1); |
The GraphLimits.swf applet will accept four different question types, specified with the
The applet has solution/hint information embedded in it. When
The four variables |

####################################### # How to use the Graph_Test applet. # Purpose: The purpose of this # applet is to ask graphical # limit questions # Use of applet: The applet # state consists of the # following fields: # qType - question type: limits, # continuity, first_derivative, # second_derivative # hintState - context sensitive # help is either on or off. # Generally turned on after # dueDate # problemSeed - the seed sets # the random parameters that # control which graph is # chosen. If the seed is # changed, the graph is # changed. ####################################### # qType = limits # right_limits - returns a # list of points (a,b) # such that # lim_{x\to a^-}f(x)=b, # but # lim_{x\to a^+}f(x)\= b # left_limits - returns a # list of points (a,b) # such that # lim_{x\to a^+}f(x)=b, # but # lim_{x\to a^-}f(x)\= b # neither_limits - returns # a list of points (a,b) # such that # lim_{x\to a^-}f(x)\= # lim_{x\to a^+}f(x)\= # f(a)=b # get_intervals returns a # list of intervals on # which f(x) is continuous. # get_f_of_x - given x value, # returns f(x). # returns NaN for x notin # [-10,10]. # getf_list - given x value # and string returns # "function" - returns f(x) # "leftlimit" - returns # lim_{x->a^-}f(x) # "rightlimit" - returns # lim_{x->a^+}f(x) # "limit" - returns # lim_{x->a}f(x) or "DNE" |
This is the
Those portions of the code that begin
the line with |

# # What does the applet do? # The applet draws a graph # with jumps, a cusp and # discontinuities # When turned on, there is # context sensitive help. ################################ ############################ # Create link to applet ############################ $appletName = "Graph_Limit"; $applet = FlashApplet( codebase => findAppletCodebase ("$appletName.swf"), appletName => $appletName, appletId => $appletName, setStateAlias => 'setXML', getStateAlias => 'getXML', setConfigAlias => 'setConfig', maxInitializationAttempts => 10, height => '475', width => '425', bgcolor => '#e8e8e8', debugMode => 0, submitActionScript => qq{ getQE("func").value=getApplet ("$appletName").getf_list($x1,"function"); getQE("rlimit").value=getApplet ("$appletName").getf_list($x2,"rightlimit"); getQE("llimit").value=getApplet ("$appletName").getf_list($x3,"leftlimit"); getQE("limit").value=getApplet ("$appletName").getf_list($x4,"limit"); }, ); |
You must include the section that follows The code |

################################### # Configure applet ################################### # configuration consists of # hintState, question type, and # random seed, and x-coordinates of # four points where jumps, # discontinuities or cusps # occur. $applet->configuration(qq{<xml> <hintState>$hintState</hintState> <qtype>limits</qtype> <seed>$problemSeed</seed> <xlist x1='$x1' x2='$x2' x3='$x3' x4='$x4' /></xml>}); $applet->initialState(qq{<xml> <hintState>$hintState</hintState> <qtype>limits</qtype> <seed>$problemSeed</seed> <xlist x1='$x1' x2='$x2' x3='$x3' x4='$x4' /></xml>}); TEXT( MODES(TeX=>'object code', HTML=>$applet->insertAll( debug=>0, includeAnswerBox=>0, ))); TEXT(MODES(TeX=>"", HTML=><<'END_TEXT')); <input type="hidden" name="func" id="func" /> <input type="hidden" name="llimit" id="llimit" /> <input type="hidden" name="rlimit" id="rlimit" /> <input type="hidden" name="limit" id="limit" /> END_TEXT $answerString1 = $inputs_ref->{func}; my $correctAnswer1 = Compute("$answerString1"); $answerString2 = $inputs_ref->{rlimit}; my $correctAnswer2 = Compute("$answerString2"); $answerString3 = $inputs_ref->{llimit}; my $correctAnswer3 = Compute("$answerString3"); $answerString4 = $inputs_ref->{limit}; my $correctAnswer4 = Compute("$answerString4"); |
The lines
The hidden form fields are created in the code block:
When the submit button is pressed, the hidden form fields defined in this block are filled with information from the applet. The data from the hidden form fields is used in these simple perl subroutines to define the correct answers to the four questions that are part of this WeBWorK problem. The WeBWorK variable $answerString1 is the content of the hidden form field "func". $correctAnswer1 is the solution to the first question. The solutions for the next two questions are defined in a similar way. The final question also has 'DNE' as a possible correct answer for the student to enter. The way that the applet is designed, the left and right limits always exist. |

TEXT(MODES(TeX=>"", HTML=><<'END_TEXT')); <script> if (navigator.appVersion.indexOf("MSIE") > 0) { document.write("<div width='3in' align='center' style='background:yellow'> You seem to be using Internet Explorer. <br/>It is recommended that another browser be used to view this page.</div>"); } </script> END_TEXT |
The text between the |

BEGIN_TEXT $BR The graph shown is for the function \(f(x)\). $BR Compute the following quantities: $BR a) \(f($x1)=\) \{ans_rule(35) \} $BR b) \(\lim_{x\to {$x2}^+}f(x)=\) \{ans_rule(35) \} $BR c) \(\lim_{x\to {$x3}^-}f(x)=\) \{ans_rule(35) \} $BR d) \(\lim_{x\to {$x4}}f(x)=\) \{ans_rule(35) \} $BR END_TEXT Context()->normalStrings; |
This is the
Mathematical equations are delimited by
There are a number of variables that set
formatting: |

############################# # # Answers # ## answer evaluators ANS( $correctAnswer1->cmp() ); #checks AnSwEr00001 ANS( $correctAnswer2->cmp() ); #checks AnSwEr00002 ANS( $correctAnswer3->cmp() ); #checks AnSwEr00003 ANS(num_cmp($correctAnswer4, strings=>['DNE'])); #checks AnSwEr00004 ENDDOCUMENT(); |
This is the The solution is embedded in the applet and becomes available when the due date has passed.
The |

## License

The Flash applets developed under DUE-0941388 are protected under the following license: Creative Commons Attribution-NonCommercial 3.0 Unported License.