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{SECT 0 {EXCHG {PARA 206 "" 0 "" {TEXT -1 3 "   " }}}{EXCHG {PARA 206 
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{EXCHG {PARA 206 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 206 "" 0 "" 
{TEXT -1 0 "" }}}{SECT 0 {PARA 207 "" 0 "" {TEXT 204 13 "Prise en main
" }}{EXCHG {PARA 208 "" 0 "" {TEXT -1 0 "" }}}{SECT 0 {PARA 209 "" 0 "
" {TEXT 205 2 "Q1" }}{EXCHG {PARA 208 "> " 0 "" {MPLTEXT 1 -1 8 "resta
rt;" }{MPLTEXT 1 -1 11 "\nsin(Pi/2);" }{MPLTEXT 1 -1 22 "\na1:=evalf(l
og(2),10);" }{MPLTEXT 1 -1 22 "\na2:=evalf(log(5),10);" }{MPLTEXT 1 
-1 11 "\na3:=a1-a2;" }{MPLTEXT 1 -1 24 "\na4:=evalf(log(2/5),10);" }
{MPLTEXT 1 -1 22 "\na5:=evalf(exp(1),10);" }}}}{SECT 0 {PARA 209 "" 0 
"" {TEXT 205 2 "Q2" }}{SECT 0 {PARA 210 "" 0 "" {TEXT 206 4 "Q2 a" }}
{EXCHG {PARA 208 "> " 0 "" {MPLTEXT 1 0 8 "restart;" }{MPLTEXT 1 0 14 
"\ns:=a,b,a,d,c;" }{MPLTEXT 1 0 8 "\nl:=[s];" }{MPLTEXT 1 0 10 "\nens:
=\{s\};" }}}}{SECT 0 {PARA 210 "" 0 "" {TEXT 206 4 "Q2 b" }}{EXCHG 
{PARA 208 "> " 0 "" {MPLTEXT 1 -1 13 "s:=a,b,a,d,c;" }{MPLTEXT 1 -1 8 
"\nl:=[s];" }{MPLTEXT 1 -1 10 "\nens:=\{s\};" }{MPLTEXT 1 0 6 "\ns[3];
" }{MPLTEXT 1 0 6 "\nl[3];" }{MPLTEXT 1 0 8 "\nens[3];" }}}}}}{SECT 0 
{PARA 207 "" 0 "" {TEXT 204 14 "Les graphiques" }}{SECT 0 {PARA 211 "
" 0 "" {TEXT 203 2 "Q1" }}{SECT 0 {PARA 212 "" 0 "" {TEXT 202 4 "Q1-a
" }}{EXCHG {PARA 208 "> " 0 "" {MPLTEXT 1 0 8 "restart;" }{MPLTEXT 1 
0 13 "\nf:=x->4-x^2;" }{MPLTEXT 1 0 11 "\ng:=x->x-1;" }{MPLTEXT 1 0 
25 "\nplot([f,g],-5..5,-5..5);" }}}}{SECT 0 {PARA 212 "" 0 "" {TEXT 
202 4 "Q1 b" }}{EXCHG {PARA 208 "> " 0 "" {MPLTEXT 1 0 8 "restart;" }
{MPLTEXT 1 0 13 "\nf:=x->4-x^2;" }{MPLTEXT 1 0 11 "\ng:=x->x-1;" }
{MPLTEXT 1 0 56 "\nplot([f,g],-5..5,color=[red,blue],scaling=constrain
ed);" }}}}}{SECT 0 {PARA 211 "" 0 "" {TEXT 203 2 "Q2" }}{SECT 0 {PARA 
212 "" 0 "" {TEXT 202 4 "Q2 a" }}{EXCHG {PARA 208 "> " 0 "" {MPLTEXT 
1 0 8 "restart;" }{MPLTEXT 1 0 14 "\nf:=x->sin(x);" }{MPLTEXT 1 0 14 "
\ng:=x->tan(x);" }{MPLTEXT 1 0 17 "\nf(Pi/4);g(Pi/4);" }{MPLTEXT 1 0 
27 "\nplot(\{f,g\},0..2*Pi,-5..5);" }}}}{SECT 0 {PARA 212 "" 0 "" 
{TEXT 202 4 "Q2 b" }}{EXCHG {PARA 208 "> " 0 "" {MPLTEXT 1 0 8 "restar
t;" }{MPLTEXT 1 0 14 "\nf:=x->sin(x);" }{MPLTEXT 1 0 14 "\ng:=x->tan(x
);" }{MPLTEXT 1 0 17 "\nf(Pi/4);g(Pi/4);" }{MPLTEXT 1 0 57 "\nplot(\{f
,g\},0..2*Pi,-5..5,color=[red,blue],discont=true);" }}}}}{SECT 0 
{PARA 211 "" 0 "" {TEXT 203 2 "Q3" }}{SECT 0 {PARA 212 "" 0 "" {TEXT 
202 4 "Q3 a" }}{EXCHG {PARA 208 "> " 0 "" {MPLTEXT 1 0 8 "restart;" }
{MPLTEXT 1 0 13 "\nwith(plots):" }{MPLTEXT 1 0 9 "\nf:=x->x;" }
{MPLTEXT 1 0 20 "\neqn:=x^2/2+y^2/4=2;" }{MPLTEXT 1 0 20 "\ng1:=plot(g
1,-5..5):" }{MPLTEXT 1 0 39 "\ng2:=implicitplot(eqn,x=-5..5,y=-5..5):
" }{MPLTEXT 1 0 36 "\ndisplay(g1,g2,scaling=constrained);" }{MPLTEXT 
1 0 1 "\n" }}}}}{SECT 0 {PARA 211 "" 0 "" {TEXT 203 2 "Q4" }}{SECT 0 
{PARA 212 "" 0 "" {TEXT 202 4 "Q4 a" }}{EXCHG {PARA 208 "> " 0 "" 
{MPLTEXT 1 0 8 "restart;" }{MPLTEXT 1 0 13 "\nwith(plots):" }{MPLTEXT 
1 0 15 "\nf:=(x,y)->x*y;" }{MPLTEXT 1 0 23 "\nplot3d(f,-5..5,-5..5);" 
}{MPLTEXT 1 0 28 "\ncontourplot(f,-5..5,-5..5);" }}}}}{SECT 0 {PARA 
211 "" 0 "" {TEXT 203 2 "Q5" }}{SECT 0 {PARA 212 "" 0 "" {TEXT 202 4 "
Q5 a" }}{EXCHG {PARA 208 "> " 0 "" {MPLTEXT 1 0 8 "restart;" }
{MPLTEXT 1 0 13 "\nwith(plots):" }{MPLTEXT 1 0 24 "\nf:=x^2/8+y^2/6+z^
2/2=5;" }{MPLTEXT 1 0 45 "\nimplicitplot3d(f,x=-10..10,y=-7..7,z=-5..5
);" }}}}}{SECT 0 {PARA 211 "" 0 "" {TEXT 203 2 "Q6" }}{SECT 0 {PARA 
212 "" 0 "" {TEXT 202 4 "Q6 a" }}{EXCHG {PARA 208 "> " 0 "" {MPLTEXT 
1 0 8 "restart;" }{MPLTEXT 1 0 13 "\nwith(plots):" }{MPLTEXT 1 0 13 "
\nx:=2*cos(t);" }{MPLTEXT 1 0 13 "\ny:=2*sin(t);" }{MPLTEXT 1 0 6 "\nz
:=t;" }{MPLTEXT 1 0 31 "\nspacecurve([x,y,z],t=0..8*Pi);" }}}}}}{SECT 
0 {PARA 207 "" 0 "" {TEXT 204 9 "Equations" }}{SECT 0 {PARA 211 "" 0 "
" {TEXT 203 2 "Q1" }}{SECT 0 {PARA 212 "" 0 "" {TEXT 202 4 "Q1 a" }}
{EXCHG {PARA 208 "> " 0 "" {MPLTEXT 1 0 8 "restart;" }{MPLTEXT 1 0 21 
"\nf:=x->x^3-2*x^2-x+2;" }{MPLTEXT 1 0 13 "\neqn:=f(x)=0;" }{MPLTEXT 
1 0 14 "\nsolve(eqn,x);" }{MPLTEXT 1 0 1 "\n" }}}}{SECT 0 {PARA 212 "
" 0 "" {TEXT 202 4 "Q1 b" }}{EXCHG {PARA 208 "> " 0 "" {MPLTEXT 1 0 8 
"restart;" }{MPLTEXT 1 0 21 "\nf:=x->x^3-2*x^2-x+2;" }{MPLTEXT 1 0 13 
"\neqn:=f(x)=0;" }{MPLTEXT 1 0 14 "\nsolve(eqn,x);" }{MPLTEXT 1 0 21 "
\nplot(f,-5..5,-5..5);" }}}}}{SECT 0 {PARA 211 "" 0 "" {TEXT 203 2 "Q2
" }}{SECT 0 {PARA 212 "" 0 "" {TEXT 202 4 "Q2 a" }}{EXCHG {PARA 208 ">
 " 0 "" {MPLTEXT 1 0 8 "restart;" }{MPLTEXT 1 0 14 "\neqn:=x^2+x-6;" }
{MPLTEXT 1 0 21 "\nsol:=[solve(eqn,x)];" }{MPLTEXT 1 0 15 "\nsol[1],so
l[2];" }}}}{SECT 0 {PARA 212 "" 0 "" {TEXT 202 4 "Q2 b" }}{EXCHG 
{PARA 208 "> " 0 "" {MPLTEXT 1 0 8 "restart;" }{MPLTEXT 1 0 14 "\neqn:
=x^2+x-6;" }{MPLTEXT 1 0 21 "\nsol:=[solve(eqn,x)];" }{MPLTEXT 1 0 35 
"\nverification1:=subs(x=sol[1],eqn);" }{MPLTEXT 1 0 35 "\nverificatio
n2:=subs(x=sol[2],eqn);" }}}}}}{SECT 0 {PARA 207 "" 0 "" {TEXT 204 31 
"Calcul differentiel et integral" }}{SECT 0 {PARA 211 "" 0 "" {TEXT 
203 11 "Les limites" }}{SECT 0 {PARA 212 "" 0 "" {TEXT 202 2 "Q1" }}
{SECT 0 {PARA 213 "" 0 "" {TEXT 201 4 "Q1 a" }}{EXCHG {PARA 208 "> " 
0 "" {MPLTEXT 1 0 8 "restart;" }{MPLTEXT 1 0 11 "\nf:=x->1/x;" }
{MPLTEXT 1 0 13 "\ng:=x->1/x^2;" }{MPLTEXT 1 0 27 "\nLfg:=limit(f(x),x
=0,left);" }{MPLTEXT 1 0 28 "\nLfd:=limit(f(x),x=0,right);" }{MPLTEXT 
1 0 21 "\nLf:=limit(f(x),x=0);" }}}}}{SECT 0 {PARA 212 "" 0 "" {TEXT 
202 2 "Q2" }}{SECT 0 {PARA 213 "" 0 "" {TEXT 201 4 "Q2 a" }}{EXCHG 
{PARA 208 "> " 0 "" {MPLTEXT 1 0 8 "restart;" }{MPLTEXT 1 0 11 "\nf:=x
->x^3;" }{MPLTEXT 1 0 28 "\nlimit((f(a+h)-f(a))/h,h=0);" }}}}}}{SECT 
0 {PARA 211 "" 0 "" {TEXT 203 12 "Les derivees" }}{SECT 0 {PARA 212 "
" 0 "" {TEXT 202 2 "Q1" }}{SECT 0 {PARA 213 "" 0 "" {TEXT 201 4 "Q1 a
" }}{EXCHG {PARA 208 "> " 0 "" {MPLTEXT 1 0 8 "restart;" }{MPLTEXT 1 
0 27 "\np:=x^4+4*x^3-2*x^2-12*x+1;" }{MPLTEXT 1 0 17 "\nder1:=diff(p,x
);" }{MPLTEXT 1 0 20 "\nder2:=diff(der1,x);" }{MPLTEXT 1 0 22 "\next:=
solve(der1=0,x);" }}}}{SECT 0 {PARA 214 "" 0 "" {TEXT 207 4 "Q1 b" }}
{EXCHG {PARA 208 "> " 0 "" {MPLTEXT 1 0 8 "restart;" }{MPLTEXT 1 0 30 
"\nf:=x->x^4+4*x^3-2*x^2-12*x+1;" }{MPLTEXT 1 0 6 "\nD(f);" }{MPLTEXT 
1 0 11 "\n(D@@2)(f);" }{MPLTEXT 1 0 17 "\nder1:=D(f)(x)=0;" }{MPLTEXT 
1 0 22 "\next:=[solve(der1,x)];" }{MPLTEXT 1 0 19 "\n(D@@2)(f)(ext[1])
;" }{MPLTEXT 1 0 19 "\n(D@@2)(f)(ext[2]);" }}}}}{SECT 0 {PARA 210 "" 
0 "" {TEXT 206 2 "Q2" }}{SECT 0 {PARA 214 "" 0 "" {TEXT 207 4 "Q2 a" }
}{EXCHG {PARA 208 "> " 0 "" {MPLTEXT 1 0 8 "restart;" }{MPLTEXT 1 0 
19 "\nf:=x->x^4-5*x^2+4;" }{MPLTEXT 1 0 10 "\nd1:=D(f);" }{MPLTEXT 1 
0 15 "\nd2:=(D@@2)(f);" }{MPLTEXT 1 0 1 "\n" }}}}{SECT 0 {PARA 214 "" 
0 "" {TEXT 207 4 "Q2 b" }}{EXCHG {PARA 208 "> " 0 "" {MPLTEXT 1 0 8 "r
estart;" }{MPLTEXT 1 0 19 "\nf:=x->x^4-5*x^2+4;" }{MPLTEXT 1 0 10 "\nd
1:=D(f);" }{MPLTEXT 1 0 15 "\nd2:=(D@@2)(f);" }{MPLTEXT 1 0 54 "\nplot
([f,d1,d2],-5..5,-10..10,color=[black,red,blue]);" }}}}{SECT 0 {PARA 
214 "" 0 "" {TEXT 207 4 "Q3 c" }}{EXCHG {PARA 208 "> " 0 "" {MPLTEXT 
1 0 8 "restart;" }{MPLTEXT 1 0 16 "\np:=x^4-5*x^2+4;" }{MPLTEXT 1 0 
15 "\nd1:=diff(p,x);" }{MPLTEXT 1 0 16 "\nd2:=diff(d1,x);" }{MPLTEXT 
1 0 56 "\nplot([p,d1,d2],x=-5..5,-10..10,color=[black,red,blue]);" }}}
}}}{SECT 0 {PARA 209 "" 0 "" {TEXT 205 14 "Les integrales" }}{SECT 0 
{PARA 210 "" 0 "" {TEXT 206 2 "Q1" }}{SECT 0 {PARA 214 "" 0 "" {TEXT 
207 4 "Q1 a" }}{EXCHG {PARA 208 "> " 0 "" {MPLTEXT 1 0 8 "restart;" }
{MPLTEXT 1 0 13 "\nf:=x->1/x^2;" }{MPLTEXT 1 0 22 "\nI1:=int(f(x),x=1.
.5);" }{MPLTEXT 1 0 23 "\nI2:=int(f(x),x=-1..5);" }{MPLTEXT 1 0 29 "\n
I3:=int(f(x),x=1..infinity);" }}}}}}{SECT 0 {PARA 209 "" 0 "" {TEXT 
205 29 "Les \351quations diff\351rentielles" }}{SECT 0 {PARA 210 "" 0 
"" {TEXT 206 2 "Q1" }}{SECT 0 {PARA 214 "" 0 "" {TEXT 207 4 "Q1 a" }}
{EXCHG {PARA 208 "> " 0 "" {MPLTEXT 1 0 8 "restart;" }{MPLTEXT 1 0 25 
"\ny0:=y(x);y1:=diff(y0,x);" }{MPLTEXT 1 0 16 "\neqd:=y1+2*y0=x;" }
{MPLTEXT 1 0 16 "\ndsolve(eqd,y0);" }}}}{SECT 0 {PARA 214 "" 0 "" 
{TEXT 207 4 "Q1 b" }}{EXCHG {PARA 208 "> " 0 "" {MPLTEXT 1 -1 8 "resta
rt;" }{MPLTEXT 1 -1 25 "\ny0:=y(x);y1:=diff(y0,x);" }{MPLTEXT 1 -1 16 
"\neqd:=y1+2*y0=x;" }{MPLTEXT 1 -1 13 "\nci1:=y(0)=2;" }{MPLTEXT 1 -1 
22 "\ndsolve(\{eqd,ci1\},y0);" }}}}{SECT 0 {PARA 214 "" 0 "" {TEXT 
207 4 "Q1 c" }}{EXCHG {PARA 208 "> " 0 "" {MPLTEXT 1 -1 8 "restart;" }
{MPLTEXT 1 -1 25 "\ny0:=y(x);y1:=diff(y0,x);" }{MPLTEXT 1 -1 16 "\neqd
:=y1+2*y0=x;" }{MPLTEXT 1 -1 13 "\nci1:=y(0)=2;" }{MPLTEXT 1 -1 27 "\n
sol:=dsolve(\{eqd,ci1\},y0);" }{MPLTEXT 1 0 14 "\nfx:=rhs(sol);" }
{MPLTEXT 1 0 18 "\nf:=unapply(fx,x);" }{MPLTEXT 1 0 23 "\nplot(f,-5..5
,-50..50);" }{MPLTEXT 1 0 1 "\n" }}}}}}{SECT 0 {PARA 209 "" 0 "" 
{TEXT 205 15 "La commande seq" }}{SECT 0 {PARA 210 "" 0 "" {TEXT 206 
2 "Q1" }}{SECT 0 {PARA 214 "" 0 "" {TEXT 207 4 "Q1 a" }}{EXCHG {PARA 
208 "> " 0 "" {MPLTEXT 1 0 8 "restart;" }{MPLTEXT 1 0 21 "\nL1:=[seq(i
,i=1..5)];" }{MPLTEXT 1 0 23 "\nL2:=[seq(i^2,i=1..5)];" }{MPLTEXT 1 0 
25 "\nS3:=seq([i,i^2],i=1..5);" }{MPLTEXT 1 0 17 "\nL3:=evalm([S3]);" 
}}}}}}{SECT 0 {PARA 209 "" 0 "" {TEXT 205 15 "Les simulations" }}
{SECT 0 {PARA 210 "" 0 "" {TEXT 206 2 "Q1" }}{SECT 0 {PARA 214 "" 0 "
" {TEXT 207 4 "Q1 a" }}{EXCHG {PARA 208 "> " 0 "" {MPLTEXT 1 0 8 "rest
art;" }{MPLTEXT 1 0 21 "\nf:=t->sin(2*Pi*t/n);" }{MPLTEXT 1 0 22 "\nL1
:=seq(f(t),n=1..5);" }}}}{SECT 0 {PARA 214 "" 0 "" {TEXT 207 4 "Q1 b" 
}}{EXCHG {PARA 208 "> " 0 "" {MPLTEXT 1 0 8 "restart;" }{MPLTEXT 1 0 
21 "\nf:=t->sin(2*Pi*t/n);" }{MPLTEXT 1 0 22 "\nL1:=seq(f(t),n=1..5);
" }{MPLTEXT 1 0 22 "\nplot([L1],t=0..2*Pi);" }}}}{SECT 0 {PARA 214 "" 
0 "" {TEXT 207 4 "Q1 c" }}{EXCHG {PARA 208 "> " 0 "" {MPLTEXT 1 0 8 "r
estart;" }{MPLTEXT 1 0 21 "\nf:=t->sin(2*Pi*t/n);" }{MPLTEXT 1 0 18 "
\nind:=[1,5,10,20];" }{MPLTEXT 1 0 21 "\nL1:=seq(f(t),n=ind);" }
{MPLTEXT 1 0 51 "\nplot([L1],t=0..2*Pi,color=[black,red,blue,green]);
" }}}}}{SECT 0 {PARA 210 "" 0 "" {TEXT 206 2 "Q2" }}{SECT 0 {PARA 214 
"" 0 "" {TEXT 207 4 "Q2 a" }}{EXCHG {PARA 208 "> " 0 "" {MPLTEXT 1 0 
8 "restart;" }{MPLTEXT 1 0 13 "\nwith(plots):" }{MPLTEXT 1 0 16 "\nf:=
t->n*sin(t);" }{MPLTEXT 1 0 32 "\nanimate(f(t),t=0..2*Pi,n=1..5);" }}}
}{SECT 0 {PARA 214 "" 0 "" {TEXT 207 4 "Q2 b" }}{EXCHG {PARA 208 "> " 
0 "" {MPLTEXT 1 0 8 "restart;" }{MPLTEXT 1 0 13 "\nwith(plots):" }
{MPLTEXT 1 0 16 "\nf:=t->sin(n*t);" }{MPLTEXT 1 0 32 "\nanimate(f(t),t
=0..2*Pi,n=1..5);" }}}}{SECT 0 {PARA 214 "" 0 "" {TEXT 207 4 "Q2 c" }}
{EXCHG {PARA 208 "> " 0 "" {MPLTEXT 1 0 8 "restart;" }{MPLTEXT 1 0 13 
"\nwith(plots):" }{MPLTEXT 1 0 16 "\nf:=t->sin(t/n);" }{MPLTEXT 1 0 
32 "\nanimate(f(t),t=0..2*Pi,n=1..5);" }}}}}}}{EXCHG {PARA 206 "" 0 "
" {TEXT -1 0 "" }}}{EXCHG {PARA 206 "" 0 "" {TEXT -1 0 "" }}}{EXCHG 
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0 "" }}}{EXCHG {PARA 208 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 208 "" 
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