# GraphLimit Flash Applet Sample Problem 2

## Flash Applets embedded in WeBWorK questions GraphLimit Example

## Sample Problem 2 with GraphLimit.swf embedded

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

This applet and WeBWorK problem are based upon work supported by the National Science Foundation under Grant Number DUE-0941388.

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. The flash applet below illustrates how the applet would work within WeBWorK. The homework question below the applet is a screenshot of the WeBWorK problem created by the pg file documented below.

<flash>file=Graph_limit1derWiki.swf|height=653px|width=467px</flash>

There are other sample problems using this applet: GraphLimit Flash Applet Sample Problem

Other applet sample problems:

Derivative Graph Matching Flash Applet Sample Problem

trigwidget Applet Sample Problem

Hint Applet (Trigonometric Substitution) Sample Problem

uSub Applet Sample Problem

invaders Sample Problem

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

##DESCRIPTION ## Graphical limits ##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( "PGanswermacros.pl", "PGstandard.pl", "AppletObjects.pl", "MathObjects.pl", ); |
This is the
The |

# Set up problem TEXT(beginproblem()); $showPartialCorrectAnswers = 1; Context("Numeric"); $qtype='first_derivative'; $showHint = 0; if(time>$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); |
This is the
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 before # dueDate # problemSeed - the seed sets # the random parameters that # control which graph is chosen. # If the seed is changed, the # graph is changed. ############################################ # qType = first_derivative # get_interval_info - given a type of # interval returns a list of intervals # with that characteristic # Valid types are - increasing, # decreasing, constant, up, down, # straight # up, down and straight pertain to # the concavity of the function # on the interval # sample function call: # get_interval_info("increasing") # describe_interval - given an interval # and a type, the function returns # information about the interval. # # Valid types are - # updown (for concavity information), # posneg1 (for sign of first derivative), # posneg2 (for sign of second derviative), # incdec (for whether function is # increasing or decreasing on the # interval. # sample function call: # describe_interval($x1,$x2,"updown") # 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" # # 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 => $appletName, setStateAlias => 'setXML', getStateAlias => 'getXML', setConfigAlias => 'setConfig', maxInitializationAttempts => 10, height => '475', width => '425', bgcolor => '#ffffff', debugMode => 0, submitActionScript => qq{ getQE("inc").value=getApplet ("$appletName").get_interval_info("increasing"); getQE("dec").value=getApplet ("$appletName").get_interval_info("decreasing"); getQE("constant").value=getApplet ("$appletName").get_interval_info("constant"); }, ); ################################### # Configure applet ################################### # configuration consists of hintState, # question type, and random seed, # and x-coordinates of four points # where jumps, discontinuities or cusps # occur. $applet->configuration(qq{<xml> <hintState>$showHint</hintState> <qtype>$qtype</qtype> <seed>$problemSeed</seed> <xlist x1='$x1' x2='$x2' x3='$x3' x4='$x4' /></xml>}); $applet->initialState(qq{<xml> <hintState>$showHint</hintState> <qtype>$qtype</qtype> <seed>$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="inc" id="inc" /> <input type="hidden" name="dec" id="dec" /> <input type="hidden" name="constant" id="constant" /> END_TEXT $answerString1 = $inputs_ref->{inc}; my $correctAnswer1 = List($answerString1); $answerString2 = $inputs_ref->{dec}; my $correctAnswer2 = List($answerString2); $answerString3 = $inputs_ref->{constant}; my $correctAnswer3 = List($answerString3); |
This is the
Those portions of the code that begin the line with You must include the section that follows The lines The code
The hidden form fields are created in the code block:
The applet is configured in the code line:
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 "inc". $correctAnswer1 is the solution to the first question. The solutions for the next two questions are defined in a similar way. |

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 $BR list all intervals for which $BR a) \(f^\prime(x)>0\) \{ans_rule(35) \} $BR b) \(f^\prime(x)<0\) \{ans_rule(35) \} $BR c) \(f^\prime(x)=0\) \{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(strings=>['None']) ); #checks AnSwEr00001 ANS( $correctAnswer2-> cmp(strings=>['None']) ); #checks AnSwEr00002 ANS( $correctAnswer3-> cmp(strings=>['None']) ); #checks AnSwEr00003 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.