# Autonomous solution sketch Flash Applet Sample Problem

## Flash Applets embedded in WeBWorK questions Autonomous solution sketch Example

## Sample Problem with sketch_3.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.

Click here to see a problem like this in action: [1]

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 problems using applets:

Derivative Graph Matching Flash Applet Sample Problem

GraphSketch Flash Applet Sample Problem 1

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

phasePortrait Flash Applet Sample Problem 1

Other useful links:

Flash Applets Tutorial

Things to consider in developing WeBWorK problems with embedded Flash applets

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

##DESCRIPTION ## Sketch autonomous solutions to polynomial differential equation ##ENDDESCRIPTION ##KEYWORDS('logistic', 'population') ## DBsubject('Differential Equations') ## DBchapter('Introduction') ## DBsection('Autonomous Differential Equations') ## Date('8/9/2013') ## Author('L. Felipe Martins') ## Author('Barbara Margolius') ## Institution('Cleveland State University') ## TitleText1('Differential Equations') ## EditionText1('2') ## AuthorText1('Ricardo') ## Chapter('1') ## Problem1('1_1') ########################################### # 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", # Standard macros for PG language "MathObjects.pl", "parserPopUp.pl", "AppletObjects.pl", "AnswerFormatHelp.pl", "PGasu.pl", ); sub BPINK { MODES(TeX => '{\\color{pink} ', HTML => '<span style="color:pink">'); }; sub EPINK { MODES( TeX => '}', HTML => '</span>'); }; sub BBLUE { MODES(TeX => '{\\color{blue} ', HTML => '<span style="color:blue">'); }; sub EBLUE { MODES( TeX => '}', HTML => '</span>'); }; sub BYELLOW { MODES(TeX => '{\\color{yellow} ', HTML => '<span style="color:yellow">'); }; sub EYELLOW { MODES( TeX => '}', HTML => '</span>'); }; # Print problem number and point value (weight) for the problem TEXT(beginproblem()); # Show which answers are correct and which ones are incorrect $showPartialCorrectAnswers = 1; |
This is the
The |

############################################################## # # Setup # # Context("Numeric"); Context()->variables->add(y=>"Real"); $a = -random(1,4,1); $expr = Formula("y*(y+$a)")->reduce(); $ymax = Compute("-$a+4"); $I1=Compute("(-infinity,0)"); $I2=Compute("(0,-$a)"); $I3=Compute("(-$a,infinity)"); $cup = Compute("(0,-$a/2)U(-$a,infinity)"); $cdown = Compute("(-infinity,0)U(-$a/2,-$a)"); $lim1 = Compute("0"); $popup1 = PopUp(["?", "extinction", "equilibrium", "explosive growth"], "extinction"); $popup2 = PopUp(["?", "extinction", "equilibrium", "explosive growth"], "explosive growth"); $popup3 = PopUp(["?", "extinction", "equilibrium", "explosive growth"], "equilibrium"); $inc = Compute("$I1 U $I3"); $lim2 = Compute("infinity"); $boardMessage = "Sketch three solutions to this differential equation using the information given in the problem."; # applet adds a point for each error it detects. # It records 100 if the graphs are not drawn $ans = Compute("0"); #+++++++++++++++++++++++++++++++++++++++++++++ # Designate characteristics of pink curve # min is IC, max is ymax; concave up on ($IC,ymax); # increasing on ($IC,ymax) # note intervals are in y not t $pinkICy = Compute("-$a+1"); $pinkIntervalsIncLow = $pinkICy; $pinkIntervalsIncHigh = $ymax; $pinkIntervalsCupLow = $pinkICy; $pinkIntervalsCupHigh = $ymax; $pinkMin = $pinkICy; #+++++++++++++++++++++++++++++++++++++++++++++ # Designate characteristics of blue curve # min is IC, max is ymax; concave down on (0,$IC); # decreasing on (0,$IC) # note intervals are in y not t $blueICy = Compute("-$a/2"); $blueIntervalsDecLow = 0; $blueIntervalsIncHigh = $blueICy; $blueIntervalsCupLow = 0; $blueIntervalsCupHigh = $blueICy; $blueMax = $blueICy; $blueMin = 0; #+++++++++++++++++++++++++++++++++++++++++++++ # Designate characteristics of blue curve # min is IC, max is IC; horizontal line # note intervals are in y not t $yellowICy = Compute("-$a"); $yellowMax = $yellowICy; $yellowMin = $yellowICy; |
The sketch_3.swf applet requires the student to sketch three solution curves. The problem author specifies initial conditions, intervals of increase, intervals of decrease, intervals of concavity, and the maximum and minimum possible values of the curves. |

################################### # Create link to applet ################################### $appletName = "sketch_3"; $applet = FlashApplet( codebase => findAppletCodebase("$appletName.swf"), appletName => $appletName, appletId => $appletName, setStateAlias => 'setXML', getStateAlias => 'getXML', setConfigAlias => 'setConfig', getConfigAlias => 'getConfig', maxInitializationAttempts => 5, # number of attempts to initialize applet answerBoxAlias => 'answerBox', height => '500', width => '650', bgcolor => '#ededed', debugMode => 0, submitActionScript => qq{getQE("answerBox").value=getApplet("$appletName").getAnswer() }, ); |
This is the
You must include the section that
follows |

$config_string = <<"ENDCONFIG"; <XML> <boardMessage>$boardMessage</boardMessage> <xmin>0</xmin><xmax>13</xmax><ymin>-2</ymin><ymax>$ymax</ymax> <depVar>y</depVar><indVar>t</indVar> <showSolution>false</showSolution> <blueIntervalsCup> <interval left='0' right='$blueICy'></interval></blueIntervalsCup> <blueIntervalsDec> <interval left='0' right='$blueICy'></interval> </blueIntervalsDec> <pinkIntervalsInc> <interval left='$pinkICy' right='$ymax'></interval> </pinkIntervalsInc> <pinkIntervalsCup> <interval left='$pinkICy' right='$ymax'></interval> </pinkIntervalsCup> <blueMax>$blueMax</blueMax> <blueMin>$blueMin</blueMin> <pinkMin>$pinkMin</pinkMin> <yellowMin>$yellowMin</yellowMin> <yellowMax>$yellowMax</yellowMax> <pinkICy>$pinkICy</pinkICy> <blueICy>$blueICy</blueICy> <yellowICy>$yellowICy</yellowICy> <pinkMaxX>0.2</pinkMaxX> </XML> ENDCONFIG $applet->configuration($config_string); $applet->initialState($config_string); |
The XML here conveys to the applet what each curve should look like. 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 |