Difference: DiagnosticTest (1 vs. 18)

Revision 182007-11-29 - DickFurnas

Line: 1 to 1
 

Diagnostic Tests:

  • What is an answer?
Changed:
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Revision 172007-05-13 - DickFurnas

Line: 1 to 1
 

Diagnostic Tests:

  • What is an answer?

Revision 162007-04-23 - DickFurnas

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Diagnostic Tests:

  • What is an answer?
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Revision 152007-04-21 - DickFurnas

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Diagnostic Tests:

  • What is an answer?
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      Revision 142007-04-12 - mst1

      Line: 1 to 1
       

      Diagnostic Tests:

      • What is an answer?
      Changed:
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        • Set BEGINANSWER = Pencil
          <--
          
        • Set SHOWWORK =

          Revision 132007-04-12 - DickFurnas

          Line: 1 to 1
           

          Diagnostic Tests:

          Added:
          >
          >
          • What is an answer?
            • Set BEGINANSWER = Pencil
              <--
              
            • Set SHOWWORK =

              Revision 122007-04-12 - DickFurnas

              Line: 1 to 1
               

              Diagnostic Tests:

              Welcome to the Math Support Center!
              Deleted:
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              <--/twistyPlugin twikiMakeVisibleInline-->
               Link to: MathTest for example MathMode syntax.
              Changed:
              <
              <
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              >
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              Pencil






               
              Table of Contents
              Error during latex2img:
              ERROR: problems during latex
              INPUT:
              \documentclass[fleqn,12pt]{article}
              \usepackage{amsmath}
              \usepackage[normal]{xcolor}
              \setlength{\mathindent}{0cm}
              \definecolor{teal}{rgb}{0,0.5,0.5}
              \definecolor{navy}{rgb}{0,0,0.5}
              \definecolor{aqua}{rgb}{0,1,1}
              \definecolor{lime}{rgb}{0,1,0}
              \definecolor{maroon}{rgb}{0.5,0,0}
              \definecolor{silver}{gray}{0.75}
              \usepackage{latexsym}
              \begin{document}
              \pagestyle{empty}
              \pagecolor{white}
              {
              \color{black}
              \begin{math}\displaystyle = \frac{\Pi}{6} radians\end{math}
              }
              \clearpage
              {
              \color{black}
              \begin{math}\displaystyle = \frac{60\Pi}{360} radians\end{math}
              }
              \clearpage
              {
              \color{black}
              \begin{math}\displaystyle 30^{\circ} \dot $\frac{ 2\Pi radians }{ 360^{\circ}$ }\end{math}
              }
              \clearpage
              {
              \color{black}
              \begin{math}\displaystyle = 2\Pi radians\end{math}
              }
              \clearpage
              {
              \color{black}
              \begin{math}\displaystyle \frac{\Pi}{6}\end{math}
              }
              \clearpage
              {
              \color{black}
              \begin{math}\displaystyle = 360^{\circ}\end{math}
              }
              \clearpage
              \end{document}
              STDERR:
              This is pdfTeX, Version 3.1415926-2.5-1.40.14 (TeX Live 2013)
               restricted \write18 enabled.
              entering extended mode
              (/tmp/qXEi52L8k_/qVacPkfknO
              LaTeX2e <2011/06/27>
              Babel  and hyphenation patterns for english, dumylang, nohyphenation, lo
              aded.
              (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls
              Document Class: article 2007/10/19 v1.4h Standard LaTeX document class
              (/usr/share/texlive/texmf-dist/tex/latex/base/fleqn.clo)
              (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo))
              (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty
              For additional information on amsmath, use the `?' option.
              (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty
              (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty))
              (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty)
              (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty))
              (/usr/share/texlive/texmf-dist/tex/latex/xcolor/xcolor.sty
              (/usr/share/texlive/texmf-dist/tex/latex/latexconfig/color.cfg)
              (/usr/share/texlive/texmf-dist/tex/latex/graphics/dvips.def))
              (/usr/share/texlive/texmf-dist/tex/latex/base/latexsym.sty)
              No file qVacPkfknO.aux.
              (/usr/share/texlive/texmf-dist/tex/latex/base/ulasy.fd) [1] [2]
              ! Extra }, or forgotten $.
               }
                               
              l.27 \begin{math}\displaystyle 30^{\circ} \dot $
                                                              \frac{ 2\Pi radians }{ 360^{...
              
              ! Missing } inserted.
               
                              }
              l.27 \begin{math}\displaystyle 30^{\circ} \dot $
                                                              \frac{ 2\Pi radians }{ 360^{...
              
              ! Missing } inserted.
               
                              }
              l.27 ...dot $\frac{ 2\Pi radians }{ 360^{\circ}$ }
                                                                \end{math}
              ! Extra }, or forgotten \endgroup.
              \frac  #1#2->{\begingroup #1\endgroup \@@over #2}
                                                               
              l.27 ...dot $\frac{ 2\Pi radians }{ 360^{\circ}$ }
                                                                \end{math}
              
              ! LaTeX Error: Bad math environment delimiter.
              
              See the LaTeX manual or LaTeX Companion for explanation.
              Type  H   for immediate help.
               ...                                              
                                                                
              l.27 ...{ 2\Pi radians }{ 360^{\circ}$ }\end{math}
                                                                
              [3] [4] [5] [6] (./qVacPkfknO.aux) )
              (see the transcript file for additional information)
              Output written on qVacPkfknO.dvi (6 pages, 1772 bytes).
              Transcript written on qVacPkfknO.log.
              
              Line: 30 to 25
               

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              Trig

              Answer the following questions without calculators or trig tables.
              Leave answers like or as is.

              Revision 112007-04-10 - DickFurnas

              Line: 1 to 1
               

              Diagnostic Tests:

              Line: 48 to 48
               
              Added:
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               </>
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              Revision 102007-04-10 - DickFurnas

              Line: 1 to 1
               

              Diagnostic Tests:

              Welcome to the Math Support Center!
              Changed:
              <
              <
              Link to: MathTest
              >
              >
              <--/twistyPlugin twikiMakeVisibleInline-->

              Link to: MathTest for example MathMode syntax.

              <--/twistyPlugin-->

              <--/twistyPlugin twikiMakeVisibleInline-->

              What further explanation could you possibly want here???

              <--/twistyPlugin-->
               
              Table of Contents
              Error during latex2img:
              ERROR: problems during latex
              INPUT:
              \documentclass[fleqn,12pt]{article}
              \usepackage{amsmath}
              \usepackage[normal]{xcolor}
              \setlength{\mathindent}{0cm}
              \definecolor{teal}{rgb}{0,0.5,0.5}
              \definecolor{navy}{rgb}{0,0,0.5}
              \definecolor{aqua}{rgb}{0,1,1}
              \definecolor{lime}{rgb}{0,1,0}
              \definecolor{maroon}{rgb}{0.5,0,0}
              \definecolor{silver}{gray}{0.75}
              \usepackage{latexsym}
              \begin{document}
              \pagestyle{empty}
              \pagecolor{white}
              {
              \color{black}
              \begin{math}\displaystyle = \frac{\Pi}{6} radians\end{math}
              }
              \clearpage
              {
              \color{black}
              \begin{math}\displaystyle = \frac{60\Pi}{360} radians\end{math}
              }
              \clearpage
              {
              \color{black}
              \begin{math}\displaystyle 30^{\circ} \dot $\frac{ 2\Pi radians }{ 360^{\circ}$ }\end{math}
              }
              \clearpage
              {
              \color{black}
              \begin{math}\displaystyle = 2\Pi radians\end{math}
              }
              \clearpage
              {
              \color{black}
              \begin{math}\displaystyle \frac{\Pi}{6}\end{math}
              }
              \clearpage
              {
              \color{black}
              \begin{math}\displaystyle = 360^{\circ}\end{math}
              }
              \clearpage
              \end{document}
              STDERR:
              This is pdfTeX, Version 3.1415926-2.5-1.40.14 (TeX Live 2013)
               restricted \write18 enabled.
              entering extended mode
              (/tmp/F10n8OQSjT/dbvE0E9nqW
              LaTeX2e <2011/06/27>
              Babel  and hyphenation patterns for english, dumylang, nohyphenation, lo
              aded.
              (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls
              Document Class: article 2007/10/19 v1.4h Standard LaTeX document class
              (/usr/share/texlive/texmf-dist/tex/latex/base/fleqn.clo)
              (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo))
              (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty
              For additional information on amsmath, use the `?' option.
              (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty
              (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty))
              (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty)
              (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty))
              (/usr/share/texlive/texmf-dist/tex/latex/xcolor/xcolor.sty
              (/usr/share/texlive/texmf-dist/tex/latex/latexconfig/color.cfg)
              (/usr/share/texlive/texmf-dist/tex/latex/graphics/dvips.def))
              (/usr/share/texlive/texmf-dist/tex/latex/base/latexsym.sty)
              No file dbvE0E9nqW.aux.
              (/usr/share/texlive/texmf-dist/tex/latex/base/ulasy.fd) [1] [2]
              ! Extra }, or forgotten $.
               }
                               
              l.27 \begin{math}\displaystyle 30^{\circ} \dot $
                                                              \frac{ 2\Pi radians }{ 360^{...
              
              ! Missing } inserted.
               
                              }
              l.27 \begin{math}\displaystyle 30^{\circ} \dot $
                                                              \frac{ 2\Pi radians }{ 360^{...
              
              ! Missing } inserted.
               
                              }
              l.27 ...dot $\frac{ 2\Pi radians }{ 360^{\circ}$ }
                                                                \end{math}
              ! Extra }, or forgotten \endgroup.
              \frac  #1#2->{\begingroup #1\endgroup \@@over #2}
                                                               
              l.27 ...dot $\frac{ 2\Pi radians }{ 360^{\circ}$ }
                                                                \end{math}
              
              ! LaTeX Error: Bad math environment delimiter.
              
              See the LaTeX manual or LaTeX Companion for explanation.
              Type  H   for immediate help.
               ...                                              
                                                                
              l.27 ...{ 2\Pi radians }{ 360^{\circ}$ }\end{math}
                                                                
              [3] [4] [5] [6] (./dbvE0E9nqW.aux) )
              (see the transcript file for additional information)
              Output written on dbvE0E9nqW.dvi (6 pages, 1772 bytes).
              Transcript written on dbvE0E9nqW.log.
              
              Line: 13 to 28
                Combine and simplify expressions as much as possible.
              Solve equations for x.
              Deleted:
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              1.

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              • Cannot be simplified.
              • however, if we are told further that then we have a common factor in the denominator:
                • , provided

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              4.

              %TWISTY{mode="div" showlink="Show Solution..." hidelink="Hide Solution"
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              • No algebraic simplification.
              • however... A beautiful geometric simplification is possible:
                • is the hypotenuse of the right triangle with sides and

              <--/twistyPlugin-->

              9.

              <--/twistyPlugin twikiMakeVisibleInline-->

              Alternatively:

              Recall Pascal's Triangle:

                              1    1
                           1    2    1
                        1    3    3    1
                     1    4     6    4     1
                  1    5   10   10    5    1
              

              ...in which elements in a row are the sum of the two elements in the row above it. These numbers are the Binomial Coefficients. is the cube of the binomial so the coefficients can be taken from the third row above: 1  3  3  1 and the exponents on start with and count down, while the exponents on start with and count up:

              which simplifies to:

              as previously.

              <--/twistyPlugin-->

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              <--/twistyPlugin twikiMakeVisibleInline-->

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              if a product is zero one of its factors must be zero so:

              either or or

              and either or or

              <--/twistyPlugin-->

              12.

              <--/twistyPlugin twikiMakeVisibleInline-->

              <--/twistyPlugin twikiMakeVisibleInline-->

              • Rearrange so the equation is of the form:
              • and use the Quadratic Formula:
              <--/twistyPlugin-->
              <--/twistyPlugin-->
               

              Trig

              Answer the following questions without calculators or trig tables.
              Leave answers like or as is.
              Changed:
              <
              <
              1. Convert:
                1. to radians.
                2. to degrees.
                3. to radians.
              2. Evaluate:
              3. Sketch the graph of
              >
              >

              1. Convert:

              a. to radians.

              b. to degrees.

              c. to radians.

              2. Evaluate:

              a.

              b.

              c.

              3. Sketch the graph of

                (Make your vertical scale as large as possible.)
              Changed:
              <
              <
              1. Given
              2. Solve the following right triangle:
              >
              >

              4. Given

              5. Solve the following right triangle:

                ( i.e. determine missing sides and angles.)
              Changed:
              <
              <
              1. Relate to and
                1. %#$\mbox{ \small $\sin{\frac{\pi}{2} -\theta}$ }$%
                2. %#$\mbox{ \small $\sin{2\theta}$ }$%
              2. Express in terms of of
              >
              >

              a.

              b.

              c.

              6. Relate to and

              a.

              b.

              c.

              7. Express in terms of and of and :

               

              Revision 92007-04-08 - DickFurnas

              Line: 1 to 1
               

              Diagnostic Tests:

              Line: 16 to 16
               %RENDERLIST{"org" depth="2"}%

              1.

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              2.

               
              =
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              Revision 82007-04-06 - DickFurnas

              Line: 1 to 1
               

              Diagnostic Tests:

              Line: 8 to 8
               
              Table of Contents
              Error during latex2img:
              ERROR: problems during latex
              INPUT:
              \documentclass[fleqn,12pt]{article}
              \usepackage{amsmath}
              \usepackage[normal]{xcolor}
              \setlength{\mathindent}{0cm}
              \definecolor{teal}{rgb}{0,0.5,0.5}
              \definecolor{navy}{rgb}{0,0,0.5}
              \definecolor{aqua}{rgb}{0,1,1}
              \definecolor{lime}{rgb}{0,1,0}
              \definecolor{maroon}{rgb}{0.5,0,0}
              \definecolor{silver}{gray}{0.75}
              \usepackage{latexsym}
              \begin{document}
              \pagestyle{empty}
              \pagecolor{white}
              {
              \color{black}
              \begin{math}\displaystyle = \frac{\Pi}{6} radians\end{math}
              }
              \clearpage
              {
              \color{black}
              \begin{math}\displaystyle = \frac{60\Pi}{360} radians\end{math}
              }
              \clearpage
              {
              \color{black}
              \begin{math}\displaystyle 30^{\circ} \dot $\frac{ 2\Pi radians }{ 360^{\circ}$ }\end{math}
              }
              \clearpage
              {
              \color{black}
              \begin{math}\displaystyle = 2\Pi radians\end{math}
              }
              \clearpage
              {
              \color{black}
              \begin{math}\displaystyle \frac{\Pi}{6}\end{math}
              }
              \clearpage
              {
              \color{black}
              \begin{math}\displaystyle = 360^{\circ}\end{math}
              }
              \clearpage
              \end{document}
              STDERR:
              This is pdfTeX, Version 3.1415926-2.5-1.40.14 (TeX Live 2013)
               restricted \write18 enabled.
              entering extended mode
              (/tmp/iKj4hk1HQm/9d3odeVtyJ
              LaTeX2e <2011/06/27>
              Babel  and hyphenation patterns for english, dumylang, nohyphenation, lo
              aded.
              (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls
              Document Class: article 2007/10/19 v1.4h Standard LaTeX document class
              (/usr/share/texlive/texmf-dist/tex/latex/base/fleqn.clo)
              (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo))
              (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty
              For additional information on amsmath, use the `?' option.
              (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty
              (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty))
              (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty)
              (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty))
              (/usr/share/texlive/texmf-dist/tex/latex/xcolor/xcolor.sty
              (/usr/share/texlive/texmf-dist/tex/latex/latexconfig/color.cfg)
              (/usr/share/texlive/texmf-dist/tex/latex/graphics/dvips.def))
              (/usr/share/texlive/texmf-dist/tex/latex/base/latexsym.sty)
              No file 9d3odeVtyJ.aux.
              (/usr/share/texlive/texmf-dist/tex/latex/base/ulasy.fd) [1] [2]
              ! Extra }, or forgotten $.
               }
                               
              l.27 \begin{math}\displaystyle 30^{\circ} \dot $
                                                              \frac{ 2\Pi radians }{ 360^{...
              
              ! Missing } inserted.
               
                              }
              l.27 \begin{math}\displaystyle 30^{\circ} \dot $
                                                              \frac{ 2\Pi radians }{ 360^{...
              
              ! Missing } inserted.
               
                              }
              l.27 ...dot $\frac{ 2\Pi radians }{ 360^{\circ}$ }
                                                                \end{math}
              ! Extra }, or forgotten \endgroup.
              \frac  #1#2->{\begingroup #1\endgroup \@@over #2}
                                                               
              l.27 ...dot $\frac{ 2\Pi radians }{ 360^{\circ}$ }
                                                                \end{math}
              
              ! LaTeX Error: Bad math environment delimiter.
              
              See the LaTeX manual or LaTeX Companion for explanation.
              Type  H   for immediate help.
               ...                                              
                                                                
              l.27 ...{ 2\Pi radians }{ 360^{\circ}$ }\end{math}
                                                                
              [3] [4] [5] [6] (./9d3odeVtyJ.aux) )
              (see the transcript file for additional information)
              Output written on 9d3odeVtyJ.dvi (6 pages, 1772 bytes).
              Transcript written on 9d3odeVtyJ.log.
              
              Added:
              >
              >
               

              Algebra

              Added:
              >
              >
               Combine and simplify expressions as much as possible.
              Solve equations for x.
              Changed:
              <
              <
              >
              >
              %RENDERLIST{"org" depth="2"}%

              1.

                • icon:see

              1.

              =
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              Changed:
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              Revision 72007-03-08 - dsa2

              Line: 1 to 1
               

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              Line: 18 to 18
               
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              Revision 62007-03-08 - DickFurnas

              Line: 1 to 1
               

              Diagnostic Tests:

              Line: 12 to 12
               Combine and simplify expressions as much as possible.
              Solve equations for x.

              Added:
              >
              >
               
              Changed:
              <
              <
              >
              >
               
              Added:
              >
              >
               
              Added:
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              Revision 52007-03-03 - DickFurnas

              Line: 1 to 1
               

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              Line: 34 to 34
               
              Changed:
              <
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              >
              >
              1. Sketch the graph of
                (Make your vertical scale as large as possible.)
              2. Given
              3. Solve the following right triangle:
                ( i.e. determine missing sides and angles.)
              4. Relate to and
                1. %#$\mbox{ \small $\sin{\frac{\pi}{2} -\theta}$ }$%
                2. %#$\mbox{ \small $\sin{2\theta}$ }$%
              5. Express in terms of of
               

              Revision 42007-03-02 - DickFurnas

              Line: 1 to 1
              Changed:
              <
              <

              Cornell University Mathematics Support Center

              >
              >

              Diagnostic Tests:

               
              Welcome to the Math Support Center!

              Link to: MathTest

              Table of Contents
              Error during latex2img:
              ERROR: problems during latex
              INPUT:
              \documentclass[fleqn,12pt]{article}
              \usepackage{amsmath}
              \usepackage[normal]{xcolor}
              \setlength{\mathindent}{0cm}
              \definecolor{teal}{rgb}{0,0.5,0.5}
              \definecolor{navy}{rgb}{0,0,0.5}
              \definecolor{aqua}{rgb}{0,1,1}
              \definecolor{lime}{rgb}{0,1,0}
              \definecolor{maroon}{rgb}{0.5,0,0}
              \definecolor{silver}{gray}{0.75}
              \usepackage{latexsym}
              \begin{document}
              \pagestyle{empty}
              \pagecolor{white}
              {
              \color{black}
              \begin{math}\displaystyle = \frac{\Pi}{6} radians\end{math}
              }
              \clearpage
              {
              \color{black}
              \begin{math}\displaystyle = \frac{60\Pi}{360} radians\end{math}
              }
              \clearpage
              {
              \color{black}
              \begin{math}\displaystyle 30^{\circ} \dot $\frac{ 2\Pi radians }{ 360^{\circ}$ }\end{math}
              }
              \clearpage
              {
              \color{black}
              \begin{math}\displaystyle = 2\Pi radians\end{math}
              }
              \clearpage
              {
              \color{black}
              \begin{math}\displaystyle \frac{\Pi}{6}\end{math}
              }
              \clearpage
              {
              \color{black}
              \begin{math}\displaystyle = 360^{\circ}\end{math}
              }
              \clearpage
              \end{document}
              STDERR:
              This is pdfTeX, Version 3.1415926-2.5-1.40.14 (TeX Live 2013)
               restricted \write18 enabled.
              entering extended mode
              (/tmp/uvwLK2I5Pa/I7OQ4Y5vUB
              LaTeX2e <2011/06/27>
              Babel  and hyphenation patterns for english, dumylang, nohyphenation, lo
              aded.
              (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls
              Document Class: article 2007/10/19 v1.4h Standard LaTeX document class
              (/usr/share/texlive/texmf-dist/tex/latex/base/fleqn.clo)
              (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo))
              (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty
              For additional information on amsmath, use the `?' option.
              (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty
              (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty))
              (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty)
              (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty))
              (/usr/share/texlive/texmf-dist/tex/latex/xcolor/xcolor.sty
              (/usr/share/texlive/texmf-dist/tex/latex/latexconfig/color.cfg)
              (/usr/share/texlive/texmf-dist/tex/latex/graphics/dvips.def))
              (/usr/share/texlive/texmf-dist/tex/latex/base/latexsym.sty)
              No file I7OQ4Y5vUB.aux.
              (/usr/share/texlive/texmf-dist/tex/latex/base/ulasy.fd) [1] [2]
              ! Extra }, or forgotten $.
               }
                               
              l.27 \begin{math}\displaystyle 30^{\circ} \dot $
                                                              \frac{ 2\Pi radians }{ 360^{...
              
              ! Missing } inserted.
               
                              }
              l.27 \begin{math}\displaystyle 30^{\circ} \dot $
                                                              \frac{ 2\Pi radians }{ 360^{...
              
              ! Missing } inserted.
               
                              }
              l.27 ...dot $\frac{ 2\Pi radians }{ 360^{\circ}$ }
                                                                \end{math}
              ! Extra }, or forgotten \endgroup.
              \frac  #1#2->{\begingroup #1\endgroup \@@over #2}
                                                               
              l.27 ...dot $\frac{ 2\Pi radians }{ 360^{\circ}$ }
                                                                \end{math}
              
              ! LaTeX Error: Bad math environment delimiter.
              
              See the LaTeX manual or LaTeX Companion for explanation.
              Type  H   for immediate help.
               ...                                              
                                                                
              l.27 ...{ 2\Pi radians }{ 360^{\circ}$ }\end{math}
                                                                
              [3] [4] [5] [6] (./I7OQ4Y5vUB.aux) )
              (see the transcript file for additional information)
              Output written on I7OQ4Y5vUB.dvi (6 pages, 1772 bytes).
              Transcript written on I7OQ4Y5vUB.log.
              
              Changed:
              <
              <

              Diagnostic Tests

              Algebra

              Simplify, if possible:
              >
              >

              Algebra

              Combine and simplify expressions as much as possible.
              Solve equations for x.
               
              Changed:
              <
              <
              >
              >
               
              Changed:
              <
              <

              Trig

              >
              >

              Trig

              Answer the following questions without calculators or trig tables.
              Leave answers like or as is.
              1. Convert:
                1. to radians.
                2. to degrees.
                3. to radians.
              2. Evaluate:
               

              Revision 32007-03-01 - DickFurnas

              Line: 1 to 1
               

              Cornell University Mathematics Support Center

              Welcome to the Math Support Center!
              Line: 33 to 33
               

              -- DickFurnas - 01 Mar 2007

              Added:
              >
              >
              META TOPICMOVED by="DickFurnas" date="1172782266" from="Main.MathSupportCenter" to="MSC.DiagnosticTest"

              Revision 22007-03-01 - DickFurnas

              Line: 1 to 1
               

              Cornell University Mathematics Support Center

              Welcome to the Math Support Center!
              Added:
              >
              >
              Link to: MathTest
               
              Table of Contents

              Diagnostic Tests

              Algebra

              Error during latex2img:
              ERROR: problems during latex
              INPUT:
              \documentclass[fleqn,12pt]{article}
              \usepackage{amsmath}
              \usepackage[normal]{xcolor}
              \setlength{\mathindent}{0cm}
              \definecolor{teal}{rgb}{0,0.5,0.5}
              \definecolor{navy}{rgb}{0,0,0.5}
              \definecolor{aqua}{rgb}{0,1,1}
              \definecolor{lime}{rgb}{0,1,0}
              \definecolor{maroon}{rgb}{0.5,0,0}
              \definecolor{silver}{gray}{0.75}
              \usepackage{latexsym}
              \begin{document}
              \pagestyle{empty}
              \pagecolor{white}
              {
              \color{black}
              \begin{math}\displaystyle = \frac{\Pi}{6} radians\end{math}
              }
              \clearpage
              {
              \color{black}
              \begin{math}\displaystyle = \frac{60\Pi}{360} radians\end{math}
              }
              \clearpage
              {
              \color{black}
              \begin{math}\displaystyle 30^{\circ} \dot $\frac{ 2\Pi radians }{ 360^{\circ}$ }\end{math}
              }
              \clearpage
              {
              \color{black}
              \begin{math}\displaystyle = 2\Pi radians\end{math}
              }
              \clearpage
              {
              \color{black}
              \begin{math}\displaystyle \frac{\Pi}{6}\end{math}
              }
              \clearpage
              {
              \color{black}
              \begin{math}\displaystyle = 360^{\circ}\end{math}
              }
              \clearpage
              \end{document}
              STDERR:
              This is pdfTeX, Version 3.1415926-2.5-1.40.14 (TeX Live 2013)
               restricted \write18 enabled.
              entering extended mode
              (/tmp/pZf3kTRsk4/uIEDcCNq8Y
              LaTeX2e <2011/06/27>
              Babel  and hyphenation patterns for english, dumylang, nohyphenation, lo
              aded.
              (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls
              Document Class: article 2007/10/19 v1.4h Standard LaTeX document class
              (/usr/share/texlive/texmf-dist/tex/latex/base/fleqn.clo)
              (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo))
              (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty
              For additional information on amsmath, use the `?' option.
              (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty
              (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty))
              (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty)
              (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty))
              (/usr/share/texlive/texmf-dist/tex/latex/xcolor/xcolor.sty
              (/usr/share/texlive/texmf-dist/tex/latex/latexconfig/color.cfg)
              (/usr/share/texlive/texmf-dist/tex/latex/graphics/dvips.def))
              (/usr/share/texlive/texmf-dist/tex/latex/base/latexsym.sty)
              No file uIEDcCNq8Y.aux.
              (/usr/share/texlive/texmf-dist/tex/latex/base/ulasy.fd) [1] [2]
              ! Extra }, or forgotten $.
               }
                               
              l.27 \begin{math}\displaystyle 30^{\circ} \dot $
                                                              \frac{ 2\Pi radians }{ 360^{...
              
              ! Missing } inserted.
               
                              }
              l.27 \begin{math}\displaystyle 30^{\circ} \dot $
                                                              \frac{ 2\Pi radians }{ 360^{...
              
              ! Missing } inserted.
               
                              }
              l.27 ...dot $\frac{ 2\Pi radians }{ 360^{\circ}$ }
                                                                \end{math}
              ! Extra }, or forgotten \endgroup.
              \frac  #1#2->{\begingroup #1\endgroup \@@over #2}
                                                               
              l.27 ...dot $\frac{ 2\Pi radians }{ 360^{\circ}$ }
                                                                \end{math}
              
              ! LaTeX Error: Bad math environment delimiter.
              
              See the LaTeX manual or LaTeX Companion for explanation.
              Type  H   for immediate help.
               ...                                              
                                                                
              l.27 ...{ 2\Pi radians }{ 360^{\circ}$ }\end{math}
                                                                
              [3] [4] [5] [6] (./uIEDcCNq8Y.aux) )
              (see the transcript file for additional information)
              Output written on uIEDcCNq8Y.dvi (6 pages, 1772 bytes).
              Transcript written on uIEDcCNq8Y.log.
              
              Changed:
              <
              <
              Simplify:
              >
              >
              Simplify, if possible:
               
              Changed:
              <
              <
              >
              >
               

              Trig

              Added:
              >
              >
               

              -- DickFurnas - 01 Mar 2007

              Revision 12007-03-01 - DickFurnas

              Line: 1 to 1
              Added:
              >
              >

              Cornell University Mathematics Support Center

              Welcome to the Math Support Center!
              Table of Contents

              Diagnostic Tests

              Algebra

              Simplify:

              Trig

              -- DickFurnas - 01 Mar 2007

              Error during latex2img:
              ERROR: problems during latex
              INPUT:
              \documentclass[fleqn,12pt]{article}
              \usepackage{amsmath}
              \usepackage[normal]{xcolor}
              \setlength{\mathindent}{0cm}
              \definecolor{teal}{rgb}{0,0.5,0.5}
              \definecolor{navy}{rgb}{0,0,0.5}
              \definecolor{aqua}{rgb}{0,1,1}
              \definecolor{lime}{rgb}{0,1,0}
              \definecolor{maroon}{rgb}{0.5,0,0}
              \definecolor{silver}{gray}{0.75}
              \usepackage{latexsym}
              \begin{document}
              \pagestyle{empty}
              \pagecolor{white}
              {
              \color{black}
              \begin{math}\displaystyle = \frac{\Pi}{6} radians\end{math}
              }
              \clearpage
              {
              \color{black}
              \begin{math}\displaystyle = \frac{60\Pi}{360} radians\end{math}
              }
              \clearpage
              {
              \color{black}
              \begin{math}\displaystyle 30^{\circ} \dot $\frac{ 2\Pi radians }{ 360^{\circ}$ }\end{math}
              }
              \clearpage
              {
              \color{black}
              \begin{math}\displaystyle = 2\Pi radians\end{math}
              }
              \clearpage
              {
              \color{black}
              \begin{math}\displaystyle \frac{\Pi}{6}\end{math}
              }
              \clearpage
              {
              \color{black}
              \begin{math}\displaystyle = 360^{\circ}\end{math}
              }
              \clearpage
              \end{document}
              STDERR:
              This is pdfTeX, Version 3.1415926-2.5-1.40.14 (TeX Live 2013)
               restricted \write18 enabled.
              entering extended mode
              (/tmp/ENFCiVqpmm/bZokhQ22QF
              LaTeX2e <2011/06/27>
              Babel  and hyphenation patterns for english, dumylang, nohyphenation, lo
              aded.
              (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls
              Document Class: article 2007/10/19 v1.4h Standard LaTeX document class
              (/usr/share/texlive/texmf-dist/tex/latex/base/fleqn.clo)
              (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo))
              (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty
              For additional information on amsmath, use the `?' option.
              (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty
              (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty))
              (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty)
              (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty))
              (/usr/share/texlive/texmf-dist/tex/latex/xcolor/xcolor.sty
              (/usr/share/texlive/texmf-dist/tex/latex/latexconfig/color.cfg)
              (/usr/share/texlive/texmf-dist/tex/latex/graphics/dvips.def))
              (/usr/share/texlive/texmf-dist/tex/latex/base/latexsym.sty)
              No file bZokhQ22QF.aux.
              (/usr/share/texlive/texmf-dist/tex/latex/base/ulasy.fd) [1] [2]
              ! Extra }, or forgotten $.
               }
                               
              l.27 \begin{math}\displaystyle 30^{\circ} \dot $
                                                              \frac{ 2\Pi radians }{ 360^{...
              
              ! Missing } inserted.
               
                              }
              l.27 \begin{math}\displaystyle 30^{\circ} \dot $
                                                              \frac{ 2\Pi radians }{ 360^{...
              
              ! Missing } inserted.
               
                              }
              l.27 ...dot $\frac{ 2\Pi radians }{ 360^{\circ}$ }
                                                                \end{math}
              ! Extra }, or forgotten \endgroup.
              \frac  #1#2->{\begingroup #1\endgroup \@@over #2}
                                                               
              l.27 ...dot $\frac{ 2\Pi radians }{ 360^{\circ}$ }
                                                                \end{math}
              
              ! LaTeX Error: Bad math environment delimiter.
              
              See the LaTeX manual or LaTeX Companion for explanation.
              Type  H   for immediate help.
               ...                                              
                                                                
              l.27 ...{ 2\Pi radians }{ 360^{\circ}$ }\end{math}
                                                                
              [3] [4] [5] [6] (./bZokhQ22QF.aux) )
              (see the transcript file for additional information)
              Output written on bZokhQ22QF.dvi (6 pages, 1772 bytes).
              Transcript written on bZokhQ22QF.log.
              
               
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