(************** Content-type: application/mathematica ************** CreatedBy='Teacher's Edition 1.0' Mathematica Teacher's Edition Notebook This notebook can be used with any Mathematica-compatible application, such as Mathematica, MathReader, or Publicon. The data for the notebook starts with the line containing stars above. To get the notebook into a Mathematica-compatible application, do one of the following: * Save the data starting with the line of stars above into a file with a name ending in .nb, then open the file inside the application; or * Copy the data starting with the line of stars above to the clipboard, then use the Paste menu command inside the application. Data for notebooks contains only printable 7-bit ASCII and can be sent directly in email or through ftp in text mode. Newlines can be CR, LF, or CRLF (Macintosh, Unix, or MS-DOS style, respectively). NOTE: If you modify the data for this notebook but not in a Mathematica-compatible application, you must delete the line below containing the word CacheID, otherwise the application may try to use invalid cache data. For more information on notebooks and Mathematica-compatible applications, contact Wolfram Research: web: http://www.wolfram.com email: info@wolfram.com phone: +1-217-398-0700 (U.S.) Notebook reader applications are available free of charge from Wolfram Research. *******************************************************************) (*CacheID: 232*) (*NotebookFileLineBreakTest NotebookFileLineBreakTest*) (*NotebookOptionsPosition[ 5287, 175]*) (*NotebookOutlinePosition[ 5988, 199]*) (* CellTagsIndexPosition[ 5944, 195]*) (*WindowFrame->Normal*) Notebook[{ Cell[TextData[{ StyleBox["Welcome to ", FontColor->RGBColor[0, 0, 1]], StyleBox["Mathematica ", FontSlant->"Italic", FontColor->RGBColor[0, 0, 1]], StyleBox["!!! To evaluate the first 4 cells below, place your cursor at \ the end of each expression, hold down the ", FontColor->RGBColor[0, 0, 1]], StyleBox["Shift", FontSlant->"Italic", FontColor->RGBColor[0, 0, 1]], StyleBox[" key, and hit ", FontColor->RGBColor[0, 0, 1]], StyleBox["Enter.", FontSlant->"Italic", FontColor->RGBColor[0, 0, 1]], StyleBox[" Once you have completed these, try a few expressions of your \ own.", FontColor->RGBColor[0, 0, 1]] }], "Section"], Cell[BoxData[ \(5 + 6\)], "Input"], Cell[BoxData[ \(8*9\)], "Input"], Cell[BoxData[ \(4 - 5*6 + 5/9\)], "Input"], Cell[BoxData[ \(\((87\ - \ 45)\)/\((3*\((\(-4\) + 17\ *\ 13)\)\ + \ 82)\)\)], "Input"], Cell[TextData[{ StyleBox["Next, evaluate the following expressions. Again, move the cursor \ to the end of the expression, hold down the ", FontColor->RGBColor[0, 0, 1]], StyleBox["Shift", FontSlant->"Italic", FontColor->RGBColor[0, 0, 1]], StyleBox[" key, and hit ", FontColor->RGBColor[0, 0, 1]], StyleBox["Enter.", FontSlant->"Italic", FontColor->RGBColor[0, 0, 1]] }], "Section"], Cell[BoxData[ \(\@44\)], "Input"], Cell[BoxData[ \(3\^7\)], "Input"], Cell[BoxData[ \(\((4 + 5 \[ImaginaryI])\)\^2\)], "Input"], Cell[BoxData[ RowBox[{ RowBox[{ RowBox[{"(", GridBox[{ {"3", \(-4\)}, {\(\(\ \)\(6\)\), "9"} }], ")"}], ".", RowBox[{"(", GridBox[{ {\(-1\), "2"}, {"5", \(-7\)} }], ")"}]}], Cell[""]}]], "Input"], Cell[BoxData[ \(\[Sum]\+\(k\ = \ 1\)\%40 k\^2\)], "Input"], Cell[BoxData[ \(\[Integral]\(4\/\(3\ + \ 4 x\^2\)\) \[DifferentialD]x\)], "Input"], Cell[BoxData[ \(\[Integral]\+2\%3 Sin[2 x] \[DifferentialD]x\)], "Input"], Cell[BoxData[ \(Sec[\(5 \[Pi]\)\/3]\ + \ Cot[\(7 \[Pi]\)\/6]\)], "Input"], Cell[BoxData[ \(\[Sum]\+\(i\ = \ 2\)\%47 1\/\(i + \ 3\)\)], "Input"], Cell[TextData[{ "Notice that when you are working with integers,", StyleBox["Mathematica", FontSlant->"Italic"], " provides output with integers as well. Sometimes this might not be the \ output you are looking for. When you want decimal approximations, use the \ built-in function N[ expression], or N[expression,precision]. Try a few of \ the following." }], "Section", FontColor->RGBColor[0, 0, 1]], Cell[BoxData[ \(N[\@32]\)], "Input"], Cell[BoxData[ \(N[Cos[\[Pi]\/6]\ + \ Sec[\(7 \[Pi]\)\/6]]\)], "Input"], Cell[BoxData[ \(N[\ \ \ \[Sum]\+\(k\ = \ 1\)\%52 2\/k\^3]\)], "Input"], Cell[BoxData[ \(N[\[Sum]\+\(k\ = \ 1\)\%52 2\/k\^3, \ 30]\)], "Input"], Cell[BoxData[ \(N[\[Pi], 40]\)], "Input"], Cell[BoxData[ \(N[\[ExponentialE]\^2, 26]\)], "Input"], Cell["\<\ Now, how do we get all of those pretty symbols, like \[Pi], \[ExponentialE], \ \[ImaginaryI], \[Sum], and \[Integral] , among others? One way to get these \ symbols is through the use of palettes. Using your cursor, move to the menu \ \"File\", then \"Palettes\", and then \"BasicInput\". You might also want to \ investigate \"BasicTypesetting\" and \"BasicCalculations\". Try and \ reproduce some of the expressions that you see above, or variations on these \ expressions.\ \>", "Section", FontColor->RGBColor[0, 0, 1]] }, FrontEndVersion->"4.1 for Microsoft Windows", ScreenRectangle->{{0, 1024}, {0, 695}}, CellGrouping->Manual, WindowSize->{752, 589}, WindowMargins->{{113, Automatic}, {Automatic, -18}} ] (******************************************************************* Cached data follows. If you edit this notebook file directly, not using a Mathematica-compatible application, you must remove the line containing CacheID at the top of the file. The cache data will then be recreated when you save this file from within the application. *******************************************************************) (*CellTagsOutline CellTagsIndex->{} *) (*CellTagsIndex CellTagsIndex->{} *) (*NotebookFileOutline Notebook[{ Cell[1764, 51, 677, 20, 113, "Section"], Cell[2444, 73, 38, 1, 30, "Input"], Cell[2485, 76, 36, 1, 30, "Input"], Cell[2524, 79, 46, 1, 30, "Input"], Cell[2573, 82, 92, 1, 30, "Input"], Cell[2668, 85, 416, 12, 86, "Section"], Cell[3087, 99, 37, 1, 32, "Input"], Cell[3127, 102, 37, 1, 30, "Input"], Cell[3167, 105, 62, 1, 30, "Input"], Cell[3232, 108, 306, 10, 41, "Input"], Cell[3541, 120, 63, 1, 51, "Input"], Cell[3607, 123, 88, 1, 42, "Input"], Cell[3698, 126, 78, 1, 59, "Input"], Cell[3779, 129, 80, 1, 42, "Input"], Cell[3862, 132, 73, 1, 51, "Input"], Cell[3938, 135, 416, 9, 140, "Section"], Cell[4357, 146, 40, 1, 33, "Input"], Cell[4400, 149, 76, 1, 42, "Input"], Cell[4479, 152, 75, 1, 51, "Input"], Cell[4557, 155, 75, 1, 51, "Input"], Cell[4635, 158, 45, 1, 30, "Input"], Cell[4683, 161, 58, 1, 31, "Input"], Cell[4744, 164, 539, 9, 167, "Section"] } ] *) (******************************************************************* End of Mathematica Teacher's Edition notebook file. *******************************************************************)