Difference between revisions of "GraphLimit Flash Applet Sample Problem 2"
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# graph is chosen. If the seed is changed, the graph is changed. |
# graph is chosen. If the seed is changed, the graph is changed. |
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########################################################################## |
########################################################################## |
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− | # qType = |
+ | # qType = first_derivative |
+ | # get_interval_info - given a type of interval returns a list of intervals |
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+ | # with that characteristic |
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+ | # Valid types are - increasing, decreasing, constant, up, down, straight |
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+ | # up, down and straight pertain to the concavity of the function on the |
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+ | # interval |
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+ | # sample function call: get_interval_info("increasing") |
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+ | # describe_interval - given an interval and a type, the function returns |
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+ | # information about the interval. |
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+ | # Valid types are - |
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+ | # updown (for concavity information), |
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+ | # posneg1 (for sign of first derivative), |
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+ | # posneg2 (for sign of second derviative), |
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+ | # incdec (for whether function is increasing or decreasing on the |
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+ | # interval. |
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+ | # sample function call: describe_interval($x1,$x2,"updown") |
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# right_limits - returns a list of points (a,b) such that |
# right_limits - returns a list of points (a,b) such that |
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# lim_{x\to a^-}f(x)=b, but lim_{x\to a^+}f(x)\= b |
# lim_{x\to a^-}f(x)=b, but lim_{x\to a^+}f(x)\= b |
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debugMode => 0, |
debugMode => 0, |
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submitActionScript => qq{ |
submitActionScript => qq{ |
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− | getQE("func").value=getApplet("$appletName").getf_list($x1,"function"); |
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+ | getQE("inc").value=getApplet("$appletName").get_interval_info("increasing");getQE("dec").value=getApplet("$appletName").get_interval_info("decreasing");getQE("constant").value=getApplet("$appletName").get_interval_info("constant"); |
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− | getQE("rlimit").value=getApplet("$appletName").getf_list($x2,"rightlimit"); |
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− | getQE("llimit").value=getApplet("$appletName").getf_list($x3,"leftlimit"); |
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− | getQE("limit").value=getApplet("$appletName").getf_list($x4,"limit"); |
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}, |
}, |
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); |
); |
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################################### |
################################### |
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− | # Configure applet |
+ | # Configure applet |
− | ################################### |
+ | ################################### |
− | + | ||
− | + | # configuration consists of hintState, question type, and random seed, |
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− | # |
+ | # and x-coordinates of four points where jumps, discontinuities or cusps |
− | + | # occur. |
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− | <seed>$problemSeed</seed><xlist x1='$x1' x2='$x2' x3='$x3' x4='$x4' /></xml>}); |
+ | $applet->configuration(qq{<xml><hintState>$showHint</hintState><qtype>limits</qtype><seed>$problemSeed</seed><xlist x1='$x1' x2='$x2' x3='$x3' x4='$x4' /></xml>}); |
− | $applet->initialState(qq{<xml><hintState>$ |
+ | $applet->initialState(qq{<xml><hintState>$showHint</hintState><qtype>limits</qtype><seed>$problemSeed</seed><xlist x1='$x1' x2='$x2' x3='$x3' x4='$x4' /></xml>}); |
− | <seed>$problemSeed</seed><xlist x1='$x1' x2='$x2' x3='$x3' x4='$x4' /></xml>}); |
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TEXT( MODES(TeX=>'object code', HTML=>$applet->insertAll( |
TEXT( MODES(TeX=>'object code', HTML=>$applet->insertAll( |
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BEGIN_TEXT |
BEGIN_TEXT |
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− | <input type="hidden" name=" |
+ | <input type="hidden" name="inc" id="inc" /> |
− | <input type="hidden" name=" |
+ | <input type="hidden" name="dec" id="dec" /> |
− | <input type="hidden" name=" |
+ | <input type="hidden" name="constant" id="constant" /> |
− | <input type="hidden" name="limit" id="limit" /> |
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END_TEXT |
END_TEXT |
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− | $answerString1 = $inputs_ref->{ |
+ | $answerString1 = $inputs_ref->{inc}; |
− | my $correctAnswer1 = |
+ | my $correctAnswer1 = List($answerString1); |
− | $answerString2 = $inputs_ref->{ |
+ | $answerString2 = $inputs_ref->{dec}; |
− | my $correctAnswer2 = |
+ | my $correctAnswer2 = List($answerString2); |
− | $answerString3 = $inputs_ref->{ |
+ | $answerString3 = $inputs_ref->{constant}; |
− | my $correctAnswer3 = |
+ | my $correctAnswer3 = List($answerString3); |
− | $answerString4 = $inputs_ref->{limit}; |
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− | my $correctAnswer4 = Compute("$answerString4"); |
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</pre> |
</pre> |
Revision as of 13:08, 26 July 2011
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.
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
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 tagging and description section of the problem. Note that any line that begins with a "#" character is a comment for other authors who read the problem, and is not interpreted by WeBWorK. 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(); # This should be the first executable line in the problem. loadMacros( "PGanswermacros.pl", "PGstandard.pl", "AppletObjects.pl", "MathObjects.pl", ); |
This is the initialization section of the problem. The first executed line of the problem must be the
The |
# Set up problem TEXT(beginproblem()); $showPartialCorrectAnswers = 1; Context("Numeric"); $qtype='first_derivative'; $showHint = 0; if(time>$dueDate){ $showHint=1; } $xx = random(-8,8,1); $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 problem set-up section of the problem.
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 = 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 => $appletName, setStateAlias => 'setXML', getStateAlias => 'getXML', setConfigAlias => 'setConfig', maxInitializationAttempts => 10, # number of attempts to initialize applet #answerBoxAlias => 'answerBox', height => '475', width => '425', bgcolor => '#ffffff', debugMode => 0, submitActionScript => qq{ getQE("inc").value=getApplet("$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>limits</qtype><seed>$problemSeed</seed><xlist x1='$x1' x2='$x2' x3='$x3' x4='$x4' /></xml>}); $applet->initialState(qq{<xml><hintState>$showHint</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, # reinitialize_button=>$permissionLevel>=10, ))); BEGIN_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 Applet link section of the problem.
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 "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. |
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 text section of the problem. 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 answer section of the problem. The problem answer is set by the The solution is embedded in the applet and becomes available when the due date has passed.
The |