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{EXCHG {PARA 200 "> " 0 "" }}{EXCHG {PARA 200 "> " 0 "" }}{EXCHG 
{PARA 201 "" 0 "" {TEXT 201 5 "Tutor" }}}{SECT 1 {PARA 202 "" 0 "" 
{TEXT -1 11 "Precalculus" }}{SECT 0 {PARA 203 "" 0 "" {TEXT -1 11 "Com
position" }}{EXCHG {PARA 200 "> " 0 "" {MPLTEXT 1 202 8 "restart;" }
{MPLTEXT 1 202 28 "\nwith(Student[Precalculus]):" }{MPLTEXT 1 202 32 "
\nCompositionTutor(x^3+2, 1/x^2);" }}}}{SECT 0 {PARA 203 "" 0 "" 
{TEXT -1 5 "Conic" }}{EXCHG {PARA 200 "> " 0 "" {MPLTEXT 1 202 8 "rest
art;" }{MPLTEXT 1 202 28 "\nwith(Student[Precalculus]):" }{MPLTEXT 1 
202 26 "\nConicsTutor(x^2+4*y^2=1);" }}}}{SECT 0 {PARA 203 "" 0 "" 
{TEXT -1 5 "Pente" }}{EXCHG {PARA 200 "> " 0 "" {MPLTEXT 1 202 8 "rest
art;" }{MPLTEXT 1 202 28 "\nwith(Student[Precalculus]):" }{MPLTEXT 1 
202 31 "\nFunctionSlopeTutor(x^2+x,x=1);" }}}}{SECT 0 {PARA 203 "" 0 "
" {TEXT -1 6 "Limite" }}{EXCHG {PARA 200 "> " 0 "" {MPLTEXT 1 202 8 "r
estart;" }{MPLTEXT 1 202 28 "\nwith(Student[Precalculus]):" }{MPLTEXT 
1 202 25 "\nLimitTutor(x^2+4*x,x=1);" }}}}{SECT 0 {PARA 203 "" 0 "" 
{TEXT -1 19 "Inegalit\351slin\351aires" }}{EXCHG {PARA 200 "> " 0 "" 
{MPLTEXT 1 202 8 "restart;" }{MPLTEXT 1 202 28 "\nwith(Student[Precalc
ulus]):" }{MPLTEXT 1 202 54 "\nLinearInequalitiesTutor(\{ x<3, 3<y, y-
x>0, y+x>0 \} );" }}}}{SECT 0 {PARA 203 "" 0 "" {TEXT -1 6 "Lignes" }}
{EXCHG {PARA 200 "> " 0 "" {MPLTEXT 1 202 8 "restart;" }{MPLTEXT 1 
202 28 "\nwith(Student[Precalculus]):" }{MPLTEXT 1 202 21 "\nLineTutor
(3*y=-2*x);" }}}}}{SECT 0 {PARA 202 "" 0 "" {TEXT -1 8 "Calculus" }}
{SECT 0 {PARA 203 "" 0 "" {TEXT -1 11 "Antiderid\351e" }}{EXCHG {PARA 
200 "> " 0 "" {MPLTEXT 1 202 8 "restart;" }{MPLTEXT 1 202 26 "\nwith(S
tudent[Calculus1]):" }{MPLTEXT 1 202 35 "\nAntiderivativeTutor(4*x^3, \+
-1..1);" }}}}{SECT 0 {PARA 203 "" 0 "" {TEXT -1 13 "Approximation" }}
{EXCHG {PARA 200 "> " 0 "" {MPLTEXT 1 202 8 "restart;" }{MPLTEXT 1 
202 26 "\nwith(Student[Calculus1]):" }{MPLTEXT 1 202 40 "\nApproximate
IntTutor(cos(x), x=0..Pi/2);" }}}}{SECT 0 {PARA 203 "" 0 "" {TEXT -1 
3 "Arc" }}{EXCHG {PARA 200 "> " 0 "" {MPLTEXT 1 202 8 "restart;" }
{MPLTEXT 1 202 26 "\nwith(Student[Calculus1]):" }{MPLTEXT 1 202 31 "\n
ArcLengthTutor(2-x^3, x=0..2);" }}}}{SECT 0 {PARA 203 "" 0 "" {TEXT 
-1 12 "Etude courbe" }}{EXCHG {PARA 200 "> " 0 "" {MPLTEXT 1 202 8 "re
start;" }{MPLTEXT 1 202 26 "\nwith(Student[Calculus1]):" }{MPLTEXT 1 
202 45 "\nCurveAnalysisTutor(x*sin(x), x=-2*Pi..2*Pi);" }}}}{SECT 0 
{PARA 203 "" 0 "" {TEXT -1 7 "Deriv\351e" }}{EXCHG {PARA 200 "> " 0 ""
 {MPLTEXT 1 202 8 "restart;" }{MPLTEXT 1 202 26 "\nwith(Student[Calcul
us1]):" }{MPLTEXT 1 202 42 "\nDerivativeTutor(x*sin(x), x=-2*Pi..2*Pi)
;" }}}}{SECT 0 {PARA 203 "" 0 "" {TEXT -1 14 "Diff\351rentielle" }}
{EXCHG {PARA 200 "> " 0 "" {MPLTEXT 1 202 8 "restart;" }{MPLTEXT 1 
202 26 "\nwith(Student[Calculus1]):" }{MPLTEXT 1 202 24 "\nDiffTutor(x
*cos(x), x);" }}}}{SECT 0 {PARA 203 "" 0 "" {TEXT -1 7 "Moyenne" }}
{EXCHG {PARA 200 "> " 0 "" {MPLTEXT 1 202 8 "restart;" }{MPLTEXT 1 
202 26 "\nwith(Student[Calculus1]):" }{MPLTEXT 1 202 37 "\nFunctionAve
rageTutor(2-x^3, x=0..2);" }}}}{SECT 0 {PARA 203 "" 0 "" {TEXT -1 9 "I
nt\351grale" }}{EXCHG {PARA 200 "> " 0 "" {MPLTEXT 1 202 8 "restart;" 
}{MPLTEXT 1 202 26 "\nwith(Student[Calculus1]):" }{MPLTEXT 1 202 23 "
\nIntTutor(3*cos(x), x);" }}}}{SECT 0 {PARA 203 "" 0 "" {TEXT -1 7 "In
verse" }}{EXCHG {PARA 200 "> " 0 "" {MPLTEXT 1 202 8 "restart;" }
{MPLTEXT 1 202 26 "\nwith(Student[Calculus1]):" }{MPLTEXT 1 202 32 "\n
InverseTutor(1-exp(x), x=1..2);" }}}}{SECT 0 {PARA 203 "" 0 "" {TEXT 
-1 6 "Limite" }}{EXCHG {PARA 200 "> " 0 "" {MPLTEXT 1 202 8 "restart;"
 }{MPLTEXT 1 202 26 "\nwith(Student[Calculus1]):" }{MPLTEXT 1 202 33 "
\nLimitTutor(2-x^3, x=2, 'right');" }}}}{SECT 0 {PARA 203 "" 0 "" 
{TEXT -1 14 "Valeur moyenne" }}{EXCHG {PARA 200 "> " 0 "" {MPLTEXT 1 
202 8 "restart;" }{MPLTEXT 1 202 26 "\nwith(Student[Calculus1]):" }
{MPLTEXT 1 202 49 "\nMeanValueTheoremTutor(x*sin(x), x=-2*Pi..2*Pi );"
 }}}}{SECT 0 {PARA 203 "" 0 "" {TEXT -1 6 "Newton" }}{EXCHG {PARA 200 
"> " 0 "" {MPLTEXT 1 202 8 "restart;" }{MPLTEXT 1 202 26 "\nwith(Stude
nt[Calculus1]):" }{MPLTEXT 1 202 35 "\nNewtonsMethodTutor(x^3-1, x=0..
2);" }}}}{SECT 0 {PARA 203 "" 0 "" {TEXT -1 21 "Surface de Revolution"
 }}{EXCHG {PARA 200 "> " 0 "" {MPLTEXT 1 202 8 "restart;" }{MPLTEXT 1 
202 26 "\nwith(Student[Calculus1]):" }{MPLTEXT 1 202 45 "\nSurfaceOfRe
volutionTutor(1+sin(x), x=0..Pi);" }}}}{SECT 0 {PARA 203 "" 0 "" 
{TEXT -1 5 "TgSec" }}{EXCHG {PARA 200 "> " 0 "" {MPLTEXT 1 202 8 "rest
art;" }{MPLTEXT 1 202 26 "\nwith(Student[Calculus1]):" }{MPLTEXT 1 
202 30 "\nTangentSecantTutor(x^2, x=4);" }}}}{SECT 0 {PARA 203 "" 0 ""
 {TEXT -1 8 "Tangente" }}{EXCHG {PARA 200 "> " 0 "" {MPLTEXT 1 202 8 "
restart;" }{MPLTEXT 1 202 26 "\nwith(Student[Calculus1]):" }{MPLTEXT 
1 202 29 "\nTangentTutor(1-exp(x), x=4);" }}}{PARA 203 "" 0 "" {TEXT 
-1 6 "Taylor" }}{EXCHG {PARA 200 "> " 0 "" {MPLTEXT 1 202 8 "restart;"
 }{MPLTEXT 1 202 26 "\nwith(Student[Calculus1]):" }{MPLTEXT 1 202 41 "
\nTaylorApproximationTutor(1-exp(x), x=0);" }}}}{SECT 0 {PARA 203 "" 0
 "" {TEXT -1 11 "Volume de R" }}{EXCHG {PARA 200 "> " 0 "" {MPLTEXT 1 
202 8 "restart;" }{MPLTEXT 1 202 26 "\nwith(Student[Calculus1]):" }
{MPLTEXT 1 202 44 "\nVolumeOfRevolutionTutor(1+sin(x), x=0..Pi);" }}}}
}{SECT 0 {PARA 202 "" 0 "" {TEXT -1 7 "Alg\350bre" }}{SECT 0 {PARA 
203 "" 0 "" {TEXT -1 15 "Valeurs propres" }}{EXCHG {PARA 200 "> " 0 ""
 {MPLTEXT 1 202 8 "restart;" }{MPLTEXT 1 202 30 "\nwith(Student[Linear
Algebra]):" }{MPLTEXT 1 202 32 "\nM := <<1,2,0>|<2,3,2>|<0,2,1>>;" }
{MPLTEXT 1 202 23 "\nEigenvaluesTutor( M );" }}}}{SECT 0 {PARA 203 "" 
0 "" {TEXT -1 16 "Vecteurs propres" }}{EXCHG {PARA 200 "> " 0 "" 
{MPLTEXT 1 202 8 "restart;" }{MPLTEXT 1 202 30 "\nwith(Student[LinearA
lgebra]):" }{MPLTEXT 1 202 32 "\nM := <<1,2,0>|<2,3,2>|<0,2,1>>;" }
{MPLTEXT 1 202 24 "\nEigenvectorsTutor( M );" }}}}{SECT 0 {PARA 203 ""
 0 "" {TEXT -1 5 "Gauss" }}{EXCHG {PARA 200 "> " 0 "" {MPLTEXT 1 202 
8 "restart;" }{MPLTEXT 1 202 30 "\nwith(Student[LinearAlgebra]):" }
{MPLTEXT 1 202 40 "\nM := <<1,2,0>|<2,3,2>|<0,2,1>|<3,5,5>>;" }
{MPLTEXT 1 202 1 "\n" }{MPLTEXT 1 202 14 "\nv := <5,4,2>;" }{MPLTEXT 
1 202 34 "\nGaussianEliminationTutor( M, v );" }}}}{SECT 0 {PARA 203 "
" 0 "" {TEXT -1 12 "Gauss-Jordan" }}{EXCHG {PARA 200 "> " 0 "" 
{MPLTEXT 1 202 8 "restart;" }{MPLTEXT 1 202 30 "\nwith(Student[LinearA
lgebra]):" }{MPLTEXT 1 202 40 "\nM := <<1,2,0>|<2,3,2>|<0,2,1>|<3,5,5>
>;" }{MPLTEXT 1 202 1 "\n" }{MPLTEXT 1 202 14 "\nv := <5,4,2>;" }
{MPLTEXT 1 202 37 "\nGaussJordanEliminationTutor( M, v );" }}}}{SECT 
0 {PARA 203 "" 0 "" {TEXT -1 7 "Inverse" }}{EXCHG {PARA 200 "> " 0 "" 
{MPLTEXT 1 202 8 "restart;" }{MPLTEXT 1 202 30 "\nwith(Student[LinearA
lgebra]):" }{MPLTEXT 1 202 32 "\nM := <<1,2,0>|<2,3,2>|<0,2,1>>;" }
{MPLTEXT 1 202 1 "\n" }{MPLTEXT 1 202 19 "\nInverseTutor( M );" }}}}
{SECT 0 {PARA 203 "" 0 "" {TEXT -1 18 "Syst\350mes lin\351aires" }}
{EXCHG {PARA 200 "> " 0 "" {MPLTEXT 1 202 8 "restart;" }{MPLTEXT 1 
202 30 "\nwith(Student[LinearAlgebra]):" }{MPLTEXT 1 202 40 "\nM := <<
1,2,0>|<2,3,2>|<0,2,1>|<3,5,5>>;" }{MPLTEXT 1 202 14 "\nv := <5,4,2>;"
 }{MPLTEXT 1 202 26 "\nLinearSolveTutor( M, v );" }}}}}{EXCHG {PARA 
200 "> " 0 "" }}{EXCHG {PARA 200 "> " 0 "" }}{EXCHG {PARA 200 "> " 0 "
" {MPLTEXT 1 202 10 "?infolevel" }}}{EXCHG {PARA 200 "> " 0 "" 
{MPLTEXT 1 202 8 "restart." }{MPLTEXT 1 202 26 "\nwith(Student[Calculu
s1]):" }{MPLTEXT 1 202 36 "\ninfolevel[Student[Calculus1]] := 2:" }
{MPLTEXT 1 202 34 "\nRule[`c*`](Limit(3*sin(x), x=1));" }{MPLTEXT 1 
202 46 "\nRule[`*`](Limit(x*cos(x)*ln(x), x=0, right));" }{MPLTEXT 1 
202 58 "\nRule[change, u=1/x](Limit(x*sin(1/x), x=infinity, left));" }
}}{EXCHG {PARA 200 "> " 0 "" }}{EXCHG {PARA 201 "" 0 "" {TEXT 201 9 "P
as \340 pas" }}}{SECT 0 {PARA 202 "" 0 "" {TEXT -1 9 "Calculus1" }}
{SECT 0 {PARA 203 "" 0 "" {TEXT -1 6 "Limite" }}{EXCHG {PARA 200 "> " 
0 "" {MPLTEXT 1 202 8 "restart." }{MPLTEXT 1 202 26 "\nwith(Student:-C
alculus1):" }{MPLTEXT 1 202 36 "\ninfolevel[Student[Calculus1]] := 1:"
 }{MPLTEXT 1 202 34 "\nRule[`c*`](Limit(3*sin(x), x=1));" }{MPLTEXT 1 
202 46 "\nRule[`*`](Limit(x*cos(x)*ln(x), x=0, right));" }{MPLTEXT 1 
202 58 "\nRule[change, u=1/x](Limit(x*sin(1/x), x=infinity, left));" }
}}}{SECT 0 {PARA 203 "" 0 "" {TEXT -1 7 "D\351riv\351e" }}{EXCHG 
{PARA 200 "> " 0 "" {MPLTEXT 1 202 8 "restart;" }{MPLTEXT 1 202 26 "\n
with(Student:-Calculus1):" }{MPLTEXT 1 202 36 "\ninfolevel[Student[Cal
culus1]] := 1:" }{MPLTEXT 1 202 34 "\nRule[`*`](Diff(x^2*sin(x^2), x))
;" }{MPLTEXT 1 202 16 "\nRule[chain](%);" }{MPLTEXT 1 202 14 "\nRule[s
in](%);" }{MPLTEXT 1 202 44 "\nRule[sum](Diff(x^2+Int(cos(t), t=0..x),
x));" }{MPLTEXT 1 202 50 "\nRule[sum](Diff(x^2+Int(cos(t), t=0..x),x),
 diff);" }{MPLTEXT 1 202 28 "\nRule[`*`](Diff(r*f(r), r));" }}}}}
{EXCHG {PARA 200 "> " 0 "" }}{EXCHG {PARA 200 "> " 0 "" }}{EXCHG 
{PARA 204 "> " 0 "" }}{EXCHG {PARA 200 "> " 0 "" }}{EXCHG {PARA 201 ""
 0 "" {TEXT 201 13 "Visualisation" }}}{EXCHG {PARA 200 "> " 0 "" }}
{EXCHG {PARA 200 "> " 0 "" }}{SECT 0 {PARA 202 "" 0 "" {TEXT -1 9 "Cal
culus1" }}{SECT 0 {PARA 203 "" 0 "" {TEXT -1 16 "Fonction d\351riv\351
e" }}{EXCHG {PARA 200 "> " 0 "" {MPLTEXT 1 202 8 "restart;" }{MPLTEXT 
1 202 26 "\nwith(Student[Calculus1]):" }{MPLTEXT 1 202 21 "\nf := x ->
 3*x^2 - x;" }{MPLTEXT 1 202 15 "\ndiff(f(x), x);" }{MPLTEXT 1 202 31 
"\nDerivativePlot(f(x), x=-1..1);" }{MPLTEXT 1 202 41 "\nDerivativePlo
t(exp(x) + exp(-x), -1..1);" }{MPLTEXT 1 202 102 "\nDerivativePlot(sin
(x) + x,           functionoptions=[thickness=2], derivativeoptions=[c
olor=green]);" }{MPLTEXT 1 202 83 "\nDerivativePlot(sin(0.98*x), x=0..
10, order=1..20, derivativecolors=blue..magenta);" }{MPLTEXT 1 202 50 
"\nf := proc() evalf(sqrt( rand()/10^12 )) end proc:" }{MPLTEXT 1 202 
53 "\ncolors := proc() COLOR(RGB, f(), f(), f()) end proc:" }{MPLTEXT 
1 202 76 "\nDerivativePlot(sin(0.98*x), x=0..10, order=1..20, derivati
vecolors=colors);" }{MPLTEXT 1 202 1 "\n" }}}}{SECT 0 {PARA 203 "" 0 "
" {TEXT -1 19 "  \311tude de fonction" }}{EXCHG {PARA 200 "> " 0 "" 
{MPLTEXT 1 202 8 "restart;" }{MPLTEXT 1 202 26 "\nwith(Student[Calculu
s1]):" }{MPLTEXT 1 202 57 "\nFunctionChart((x^3 - 4*x^2 - 50*x + 12)/(
x^2 - x - 17));" }{MPLTEXT 1 202 71 "\nFunctionChart(x*exp(x), -6..1, \+
concavity=[], slope=color(red, black));" }{MPLTEXT 1 202 57 "\nFunctio
nChart(sin(x) + x, pointoptions=[symbolsize=20]);" }{MPLTEXT 1 202 
125 "\nFunctionChart(sin(x) + x/2, slope=[thickness(2, 1), linestyle(s
olid, dash)], concavity=arrow, pointoptions=[symbolsize=20]);" }
{MPLTEXT 1 202 78 "\nFunctionChart(2*x^3 + 1,x, sign=[linestyle(dash,s
olid), color(cyan, magenta)," }{MPLTEXT 1 202 65 "\nfilled(coral, whea
t), thickness(3,1) ], slope=[], concavity=[]);" }}}}{SECT 0 {PARA 203 
"" 0 "" {TEXT -1 16 "Fonction inverse" }}{EXCHG {PARA 200 "> " 0 "" 
{MPLTEXT 1 202 8 "restart;" }{MPLTEXT 1 202 26 "\nwith(Student[Calculu
s1]):" }{MPLTEXT 1 202 33 "\nInversePlot(3*x^2 - x, x=-1..1);" }
{MPLTEXT 1 202 28 "\nInversePlot(exp(x), -1..1);" }{MPLTEXT 1 202 102 
"\nInversePlot(sin(x) + x, functionoptions=[thickness=2], inverseoptio
ns=[color=green], showline=false);" }{MPLTEXT 1 202 1 "\n" }}}}{SECT 
0 {PARA 203 "" 0 "" {TEXT -1 17 "M\351thode de Newton" }}{EXCHG {PARA 
200 "> " 0 "" {MPLTEXT 1 202 8 "restart;" }{MPLTEXT 1 202 26 "\nwith(S
tudent[Calculus1]):" }{MPLTEXT 1 202 34 "\nNewtonsMethod(sin(x) + 1, x
 = 1);" }{MPLTEXT 1 202 53 "\nNewtonsMethod(sin(x) + 1, x = 2, output \+
= sequence);" }{MPLTEXT 1 202 76 "\nNewtonsMethod(x^3 - x, x = -0.432,
 view = [-2..1, DEFAULT], output = plot);" }{MPLTEXT 1 202 70 "\nNewto
nsMethod(x^3 - x, x = 2, view = [0..3, DEFAULT], output = plot);" }
{MPLTEXT 1 202 50 "\nNewtonsMethod(x^2 + x + 1, x = 2, output = plot);
" }}}}{SECT 0 {PARA 203 "" 0 "" {TEXT -1 13 "Interpolation" }}{EXCHG 
{PARA 200 "> " 0 "" {MPLTEXT 1 202 8 "restart;" }{MPLTEXT 1 202 26 "\n
with(Student[Calculus1]):" }{MPLTEXT 1 202 39 "\nPointInterpolation(si
n(9*x), x=0..Pi);" }{MPLTEXT 1 202 62 "\nPointInterpolation((x^2 - 3*x
 + 1)/(x^2 - 4*x + 3), x=-3..4);" }}}}}{EXCHG {PARA 200 "> " 0 "" }}
{EXCHG {PARA 200 "> " 0 "" }}{EXCHG {PARA 200 "> " 0 "" }}{EXCHG 
{PARA 200 "> " 0 "" }}{EXCHG {PARA 200 "> " 0 "" }}{EXCHG {PARA 200 ">
 " 0 "" }}{EXCHG {PARA 200 "> " 0 "" }}{EXCHG {PARA 200 "> " 0 "" }}
{EXCHG {PARA 200 "> " 0 "" }}{PARA 205 "" 0 "" }{PARA 205 "" 0 "" }
{PARA 205 "" 0 "" }{PARA 205 "" 0 "" }}{VIEWOPTS 1 1 0 1 1 1803 1 1 1 
1 }{PAGENUMBERS 0 1 2 33 1 1 }