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PreTeXt Sample Book Abstract Algebra (SAMPLE ONLY)

Section 5.21 Exercises that are Timed

View Source for section
  <section xml:id="exercises-timed">
    <title>Exercises that are Timed</title>
    <p>
      This is a section that merely explains and holds an <tag>exercises</tag> division,
      which will be at the level of a <tag>subsection</tag>.
      There is a <attr>time-limit</attr> attribute on <tag>exercises</tag>,
      set to the value <c>10</c>,
      which implies (a) the collection of (two) exercises is a
      <q>timed exam</q>
      when hosted on Runestone,
      and (b) a student will have 10 minutes to complete the collection.
    </p>
    <p>
      Showing results, showing feedback,
      displaying a timer, and allowing pausing are all enabled by default.
      To disable any of these features,
      set the corresponding attributes on the <tag>exercises</tag> division,
      <attr>results</attr>, <attr>feedback</attr>,
      <attr>timer</attr>, <attr>pause</attr>,
      to the value <c>no</c>.
      As a test, we have turned off pausing.
      Don't panic!
    </p>
    <p>
      Of course, if you are not viewing this while online and hosted on a Runestone server,
      then these exercises will not look any different than in other places.
    </p>
    <p>
      (Since this is an unstructured division,
      the number of the <tag>exercises</tag> is not displayed when born.
      It does <em>have</em> a number,
      which is the same as the enclosing <tag>section</tag>.
      To wit: <xref ref="exercises-timed"/> versus <xref ref="timing-exercises"/>.)
    </p>
    <exercises xml:id="timing-exercises" label="timed-exercises" time-limit="10" pause="no">
      <title>Timed Exercises</title>
      <introduction>
        <p>
          You have 10 minutes to do these exercises when hosted online on a Runestone server.
        </p>
      </introduction>
      <exercise label="vector-space-dimension-timed">
        <title>True/False</title>
        <idx>vector space</idx>
        <statement correct="no">
          <p>
            Every vector space has finite dimension.
          </p>
        </statement>
        <feedback>
          <p>
            The vector space of all polynomials with finite degree has a basis,
            <m>B = \{1,x,x^2,x^3,\dots\}</m>, which is infinte.
          </p>
        </feedback>
        <hint>
          <p>
            <m>P_n</m>, the vector space of polynomials with degree at most <m>n</m>,
            has dimension <m>n+1</m> by <xref ref="theorem-exponent-laws"/>. [Cross-reference is just a demo,
            content is not relevant.] What happens if we relax the defintion and remove the parameter <m>n</m>?
          </p>
        </hint>
      </exercise>
      <exercise label="multiple-choice-not-randomized-timed">
        <title>Multiple-Choice, Not Randomized, One Answer</title>
        <idx>stop signs</idx>
        <statement>
          <p>
            What color is a stop sign?
          </p>
        </statement>
<!-- to appear as problem with potentially multiple correct -->
<!-- answers (even though there is only one), use           -->
<!--                                                        -->
<!--     <choices multiple-correct="yes">                   -->
<!--                                                        -->
        <choices>
        <choice>
        <statement>
          <p>
            Green
          </p>
        </statement>
        <feedback>
          <p>
            Green means
            <q>go!</q>.
          </p>
        </feedback>
        </choice>
        <choice correct="yes">
        <statement>
          <p>
            Red
          </p>
        </statement>
        <feedback>
          <p>
            Red is universally used for prohibited activities or serious warnings.
          </p>
        </feedback>
        </choice>
        <choice>
        <statement>
          <p>
            White
          </p>
        </statement>
        <feedback>
          <p>
            White might be hard to see.
          </p>
        </feedback>
        </choice>
        </choices>
        <hint>
          <p>
            What did you see last time you went driving?
          </p>
        </hint>
        <hint>
          <p>
            Maybe go out for a drive?
          </p>
        </hint>
      </exercise>
    </exercises>
  </section>
This is a section that merely explains and holds an <exercises> division, which will be at the level of a <subsection>. There is a @time-limit attribute on <exercises>, set to the value 10, which implies (a) the collection of (two) exercises is a โ€œtimed examโ€ when hosted on Runestone, and (b) a student will have 10 minutes to complete the collection.
Showing results, showing feedback, displaying a timer, and allowing pausing are all enabled by default. To disable any of these features, set the corresponding attributes on the <exercises> division, @results, @feedback, @timer, @pause, to the value no. As a test, we have turned off pausing. Donโ€™t panic!
Of course, if you are not viewing this while online and hosted on a Runestone server, then these exercises will not look any different than in other places.
(Since this is an unstructured division, the number of the <exercises> is not displayed when born. It does have a number, which is the same as the enclosing <section>. To wit: Sectionย 5.21 versus Exercisesย 5.21.)

Exercises Timed Exercises

View Source for exercises
    <exercises xml:id="timing-exercises" label="timed-exercises" time-limit="10" pause="no">
      <title>Timed Exercises</title>
      <introduction>
        <p>
          You have 10 minutes to do these exercises when hosted online on a Runestone server.
        </p>
      </introduction>
      <exercise label="vector-space-dimension-timed">
        <title>True/False</title>
        <idx>vector space</idx>
        <statement correct="no">
          <p>
            Every vector space has finite dimension.
          </p>
        </statement>
        <feedback>
          <p>
            The vector space of all polynomials with finite degree has a basis,
            <m>B = \{1,x,x^2,x^3,\dots\}</m>, which is infinte.
          </p>
        </feedback>
        <hint>
          <p>
            <m>P_n</m>, the vector space of polynomials with degree at most <m>n</m>,
            has dimension <m>n+1</m> by <xref ref="theorem-exponent-laws"/>. [Cross-reference is just a demo,
            content is not relevant.] What happens if we relax the defintion and remove the parameter <m>n</m>?
          </p>
        </hint>
      </exercise>
      <exercise label="multiple-choice-not-randomized-timed">
        <title>Multiple-Choice, Not Randomized, One Answer</title>
        <idx>stop signs</idx>
        <statement>
          <p>
            What color is a stop sign?
          </p>
        </statement>
<!-- to appear as problem with potentially multiple correct -->
<!-- answers (even though there is only one), use           -->
<!--                                                        -->
<!--     <choices multiple-correct="yes">                   -->
<!--                                                        -->
        <choices>
        <choice>
        <statement>
          <p>
            Green
          </p>
        </statement>
        <feedback>
          <p>
            Green means
            <q>go!</q>.
          </p>
        </feedback>
        </choice>
        <choice correct="yes">
        <statement>
          <p>
            Red
          </p>
        </statement>
        <feedback>
          <p>
            Red is universally used for prohibited activities or serious warnings.
          </p>
        </feedback>
        </choice>
        <choice>
        <statement>
          <p>
            White
          </p>
        </statement>
        <feedback>
          <p>
            White might be hard to see.
          </p>
        </feedback>
        </choice>
        </choices>
        <hint>
          <p>
            What did you see last time you went driving?
          </p>
        </hint>
        <hint>
          <p>
            Maybe go out for a drive?
          </p>
        </hint>
      </exercise>
    </exercises>
    You have 10 minutes to do these exercises when hosted online on a Runestone server.

    1. True/False.

    View Source for exercise
    <exercise label="vector-space-dimension-timed">
      <title>True/False</title>
      <idx>vector space</idx>
      <statement correct="no">
        <p>
          Every vector space has finite dimension.
        </p>
      </statement>
      <feedback>
        <p>
          The vector space of all polynomials with finite degree has a basis,
          <m>B = \{1,x,x^2,x^3,\dots\}</m>, which is infinte.
        </p>
      </feedback>
      <hint>
        <p>
          <m>P_n</m>, the vector space of polynomials with degree at most <m>n</m>,
          has dimension <m>n+1</m> by <xref ref="theorem-exponent-laws"/>. [Cross-reference is just a demo,
          content is not relevant.] What happens if we relax the defintion and remove the parameter <m>n</m>?
        </p>
      </hint>
    </exercise>
    
      Every vector space has finite dimension.
    • True.

    • The vector space of all polynomials with finite degree has a basis, \(B = \{1,x,x^2,x^3,\dots\}\text{,}\) which is infinte.
    • False.

    • The vector space of all polynomials with finite degree has a basis, \(B = \{1,x,x^2,x^3,\dots\}\text{,}\) which is infinte.
    Hint.
    View Source for hint
    <hint>
      <p>
        <m>P_n</m>, the vector space of polynomials with degree at most <m>n</m>,
        has dimension <m>n+1</m> by <xref ref="theorem-exponent-laws"/>. [Cross-reference is just a demo,
        content is not relevant.] What happens if we relax the defintion and remove the parameter <m>n</m>?
      </p>
    </hint>
    
    \(P_n\text{,}\) the vector space of polynomials with degree at most \(n\text{,}\) has dimension \(n+1\) by Theoremย 3.2.16. [Cross-reference is just a demo, content is not relevant.] What happens if we relax the defintion and remove the parameter \(n\text{?}\)

    2. Multiple-Choice, Not Randomized, One Answer.

    View Source for exercise
          <exercise label="multiple-choice-not-randomized-timed">
            <title>Multiple-Choice, Not Randomized, One Answer</title>
            <idx>stop signs</idx>
            <statement>
              <p>
                What color is a stop sign?
              </p>
            </statement>
    <!-- to appear as problem with potentially multiple correct -->
    <!-- answers (even though there is only one), use           -->
    <!--                                                        -->
    <!--     <choices multiple-correct="yes">                   -->
    <!--                                                        -->
            <choices>
            <choice>
            <statement>
              <p>
                Green
              </p>
            </statement>
            <feedback>
              <p>
                Green means
                <q>go!</q>.
              </p>
            </feedback>
            </choice>
            <choice correct="yes">
            <statement>
              <p>
                Red
              </p>
            </statement>
            <feedback>
              <p>
                Red is universally used for prohibited activities or serious warnings.
              </p>
            </feedback>
            </choice>
            <choice>
            <statement>
              <p>
                White
              </p>
            </statement>
            <feedback>
              <p>
                White might be hard to see.
              </p>
            </feedback>
            </choice>
            </choices>
            <hint>
              <p>
                What did you see last time you went driving?
              </p>
            </hint>
            <hint>
              <p>
                Maybe go out for a drive?
              </p>
            </hint>
          </exercise>
    
    What color is a stop sign?
    • Green
    • Green means โ€œgo!โ€.
    • Red is universally used for prohibited activities or serious warnings.
    • White
    • White might be hard to see.
    Hint 1.
    View Source for hint
    <hint>
      <p>
        What did you see last time you went driving?
      </p>
    </hint>
    
    What did you see last time you went driving?
    Hint 2.
    View Source for hint
    <hint>
      <p>
        Maybe go out for a drive?
      </p>
    </hint>
    
    Maybe go out for a drive?
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