{VERSION 3 0 "IBM INTEL NT" "3.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 }{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 } {PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Text Output" -1 2 1 {CSTYLE "" -1 -1 "Courier" 1 10 0 0 255 1 0 0 0 0 0 1 3 0 0 }1 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "" 2 6 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 2 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "M aple Output" 0 11 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 3 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "" 11 12 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }1 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 } {PSTYLE "Maple Plot" 0 13 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "R3 Font 0" -1 256 1 {CSTYLE "" -1 -1 "Helvetica" 1 18 0 0 255 1 2 1 2 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "R3 Font 2" -1 257 1 {CSTYLE "" -1 -1 "Courier" 1 10 0 0 0 1 2 1 2 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {EXCHG {PARA 0 "" 0 "" {TEXT -1 59 "Dr.M.Komma Isolde-Kur z-Gymnasium Reutlingen 1995" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 25 "Kurvendis kussion in K\374rze" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "restart:with(plots):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "ys:=D(y);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#ysG-% \"DG6#%\"yG" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "yss:=D(ys); " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$yssG--%#@@G6$%\"DG\"\"#6#%\"yG " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "y:=x->x^4+x^3-x^2+x;" } }{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"yGR6#%\"xG6\"6$%)operatorG%&arrow GF(,**$)9$\"\"%\"\"\"\"\"\"*$)F/\"\"$F1F2*$)F/\"\"#F1!\"\"F/F2F(F(F(" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 23 "Ausgabe der Ableitungen" }} {PARA 0 "> " 0 "" {MPLTEXT 1 0 6 "ys(x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,**$)%\"xG\"\"$\"\"\"\"\"%*$)F&\"\"#F(F'F&!\"#\"\"\"F." }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "yss(x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,(*$)%\"xG\"\"#\"\"\"\"#7F&\"\"'!\"#\"\"\"" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 11 "Nullstellen" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 32 "xn:=allvalues(\{solve(y(x),x)\}); " }}{PARA 12 "" 1 " " {XPPMATH 20 "6#>%#xnG<&\"\"!,(*$),&\"#>\"\"\"*$-%%sqrtG6#\"#L\"\"\" \"\"$#F,F3F2#!\"\"F3*&F2F2*$)F*#\"\"\"F3F2!\"\"#!\"%F3F5F,,*F(#F,\"\"' F7#\"\"#F3F5F,*(%\"IGF,-F/6#F3F2,&F(F5F7#\"\"%F3F,#F,FC,*F(F@F7FBF5F,F D#F6FC" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 22 "Etwas \374bersichtliche r:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "evalf(%);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#<&\"\"!$!+bnGR=!\"*,&$\"+xPV'>%!#5\"\"\"%\"IG$! ++t!H1'F+,&F)F,F-$\"++t!H1'F+" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 13 " Extremstellen" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 42 "xe:=allvalues(\{so lve(ys(x),x)\}); evalf(%);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#xeG<% ,(*$),&\"$^$\"\"\"*$-%%sqrtG6#\"$1'\"\"\"\"#7#F+\"\"$F1#!\"\"F2*&F1F1* $)F)#\"\"\"F4F1!\"\"#!#6\"\"%#F6F?F+,*F'#F+\"#CF7#\"#6\"\")F@F+*(%\"IG F+-F.6#F4F1,&F'F5F7#FEF?F+#F6\"\"#,*F'FBF7FDF@F+FG#F+FN" }}{PARA 11 " " 1 "" {XPPMATH 20 "6#<%,&$\"+M<#Hp#!#5\"\"\"%\"IG$\"+2ee&[$F',&F%F(F) $!+2ee&[$F'$!+ZVe)G\"!\"*" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 12 "Wend estellen" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 43 "xw:=allvalues(\{solve(y ss(x),x)\}); evalf(%);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#xwG<$,&#! \"\"\"\"%\"\"\"*$-%%sqrtG6#\"#L\"\"\"#F*\"#7,&F'F*F+#F(F2" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#<$$\"+Rb8(G#!#5$!+Rb8(G(F&" }}}{EXCHG {PARA 0 " " 0 "" {TEXT -1 47 "Extrempunkte (x-Wert, y-Wert, zweite Ableitung)" } }{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "for i to nops(xe) do" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 42 "test:=xe[i]: ttest:=evalc(Im(eval(test))):" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 33 " if ttest=0 then print(y(test)); " }}{PARA 0 "> " 0 " " {MPLTEXT 1 0 51 "print(evalf(test),evalf(y(test)),evalf(yss(test))); " }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 108 "printf(`x-Wert = % a, y-Wert = %a, zweite Ableitung: %a`,evalf(test),evalf(y(test)),evalf(yss(test)) ) fi od:" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#,.*$),(*$),&\"$^$\"\"\"*$- %%sqrtG6#\"$1'\"\"\"\"#7#F+\"\"$F1#!\"\"F2*&F1F1*$)F)#\"\"\"F4F1!\"\"# !#6\"\"%#F6F?F+F?F1F+*$)F&F4F1F+*$)F&\"\"#F1F6F'F5F7F=F@F+" }}{PARA 11 "" 1 "" {XPPMATH 20 "6%$!+ZVe)G\"!\"*$!+;/dJBF%$\"+N*)Q>5!\")" }} {PARA 6 "" 1 "" {TEXT -1 75 "x-Wert = -1.288584347, y-Wert = -2.331570 416, zweite Ableitung: 10.19388935" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 36 "So wird man die komplexen Werte los:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "for i to nops(xw) do" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 42 "test:=xw[i]: ttest:=evalc(Im(eval(test))):" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 33 " if ttest=0 then print(y(test)); " }} {PARA 0 "> " 0 "" {MPLTEXT 1 0 40 "print(evalf(test),evalf(y(test))) f i od:" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,,*$),&#!\"\"\"\"%\"\"\"*$-%% sqrtG6#\"#L\"\"\"#F*\"#7F)F0F**$)F&\"\"$F0F**$)F&\"\"#F0F(F'F*F+F1" }} {PARA 11 "" 1 "" {XPPMATH 20 "6$$\"+Rb8(G#!#5$\"+&pR5\">F%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,,*$),&#!\"\"\"\"%\"\"\"*$-%%sqrtG6#\"#L\"\" \"#F(\"#7F)F0F**$)F&\"\"$F0F**$)F&\"\"#F0F(F'F*F+F1" }}{PARA 11 "" 1 " " {XPPMATH 20 "6$$!+Rb8(G(!#5$!+\"3:ZO\"!\"*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 40 "plot(\{y(x),ys(x),yss(x)\},x=-2..1,-5..5);" }} {PARA 13 "" 1 "" {GLPLOT2D 400 300 300 {PLOTDATA 2 "6'-%'CURVESG6$7in7 $$!\"#\"\"!$\"\"#F*7$$!1+]PM@l$)>!#:$\"1+w/+[HfF0$\"1h $4Pp$\\F:F07$$!1+]7.k&4&>F0$\"1F4x`dT/8F07$$!1++]P&3Y$>F0$\"1;U>n<))*3 \"F07$$!1+Dcc,;1>F0$\"1!)z#oZgRO(!#;7$$!1+]ivF07$$!1++++h*QS*F G$!10\\fa_Hu=F07$$!1++Dc>mP()FG$!14?2=JW@=9F07$$!1***\\(o8y%)oFG$!1O8/iB9k7F07$ $!1****\\i:#>C'FG$!1P`W^E?06F07$$!1***\\7ev:l&FG$!1m?N>ObI'*FG7$$!1++] (o2[,&FG$!1q$>6>R$e\")FG7$$!1++D1[Q`VFG$!1=7c)obWr'FG7$$!1++vVUhxPFG$! 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Die Kurvendiskussion dieser Art ist ein f\374r alle mal \+ erledigt." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 23 "2.) Modulares Arbeiten:" }}{PARA 0 "" 0 "" {TEXT -1 95 "a) Standar d-Worksheet laden, den neuen Gegebenheiten/W\374nschen anpassen, als n eues WS speichern " }}{PARA 0 "" 0 "" {TEXT -1 28 "-> Bibliothek, Arch ivierung!" }}{PARA 0 "" 0 "" {TEXT -1 141 "b) WS-Teile (h\344ufig wied erkehrende Befehle) bereitstellen: Editor + Copy&Paste, Maple-Prozedur , Tabelle von eigenen Prozeduren, eigene Hilfe." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 93 "3.) Flexibilit\344t im Wo rksheet selbst: Auskommentieren von Befehlen oder Umschalten auf Text. " }}{PARA 0 "" 0 "" {TEXT -1 197 "Flexibilit\344t von Befehlen im Geg ensatz zu Men\374s oder Buttons: die befehlsorientierten Systeme feier n ein gro\337es Comeback! Man mu\337 sich die Befehle nicht merken, ma n mu\337 nur wissen, wo sie stehen..." }}{PARA 0 "" 0 "" {TEXT -1 0 " " }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 25 "komma@ikg.rt.bw.schule.de" }}}}{MARK "0 0 0" 16 } {VIEWOPTS 1 1 0 1 1 1803 }