SampleProblem4
A PGML WeBWorK Sample Problem
This sample problem illustrates the basics of how to use PGML commands to layout a question. This sample just scratches the surface of what is possible using these mark up commands. Page through the sample questions to see what can be done and click on the "show problem source" button to see how to accomplish it.
As usual a standard WeBWorK PG file has five 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 setup section that sets variables specific to the problem,
 A text section, that gives the text that is shown to the student, and
 OPTIONAL An answer , 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. As you will see this section can be used but are not necessary when using PGML commands.
 A solution section
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.
PG problem file  Explanation 

# DESCRIPTION # A simple sample problem that asks students to # differentiate a trigonometric function. # WeBWorK problem written by Gavin LaRose # <glarose(at)umich(dot)edu> # and modified by Mike Gage gage(at)math(dot)rochester(dot)edu # ENDDESCRIPTION ## DBsubject('WeBWorK') ## DBchapter('Demos') ## DBsection('Problem') ## KEYWORDS('') ## TitleText1('') ## EditionText1('') ## AuthorText1('') ## Section1('') ## Problem1('') ## Author('Gavin LaRose') ## Institution('UMich') 
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 online 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", "PGML.pl", "MathObjects.pl", "PGcourse.pl", ); 
This is the initialization section of the problem. The first executed line of the problem must be the
The

# make sure we're in the context we want Context("Numeric"); $showPartialCorrectAnswers = 1; $f = Formula("cos^2(x)+sin^2(x)"); 
This is the problem setup section of the problem.
The bulk of the setup section defines variables that we use in the rest of the problem. All scalar variables are prefaced with a dollar sign: thus 
TEXT(beginproblem()); #TEXT(PGML::Format2(<<'END_PGML')); BEGIN_PGML The number twelve is [_______]{12} Type the formula [`1+\frac{x}{2}`] [__________]{"1+x/2"} Twelve is [______]{Real(12)} 2 mod 10 is [______]{Real(2)>with(period=>10)} [`[$f]`] is equal to [_______]{Real(1)} Twelve is [______]{num_cmp(12)} The number 12 is [____]{answer=>12,width=>10} END_PGML 
This is the text section of the problem. The
Answer blanks are indicated by A link to an interactive online calculator and to several dozens examples of using PGML is on the PGLabs page. Here is the typeset version of this sample problem 
SOLUTION(PGML::Format2(<<'END_SOLUTION')) $PAR SOLUTION $PAR You can use PGML in your solution if you use the structure above. There is currently no short cut. END_SOLUTION Context()>normalStrings; ENDDOCUMENT(); 
This is the answer and solution section of the problem. The answers were given along side the problems using PGML so the answer section is not needed although it is allowed. Then, we explain the solution to the student. Currently there is no short cut for using PGML in the solution section, but one can use the long version as above.
The 