Kalkulus I.
J\303\241rai Antal
Ezek a programok csak szeml\303\251ltet\303\251sre szolg\303\241lnak
<Text-field style="Heading 1" layout="Heading 1">1. Halmazok</Text-field>
<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">2. Sz\303\241mok</Font></Text-field>
<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">3. Hat\303\241r\303\251rt\303\251k</Font></Text-field>
<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">5. Integr\303\241lsz\303\241m\303\255t\303\241s</Font></Text-field>
restart;
<Text-field style="Heading 2" layout="Heading 2"><Font encoding="UTF-8">5.1. Primit\303\255v f\303\274ggv\303\251nyek</Font></Text-field>
<Text-field style="Heading 3" layout="Heading 3"><Font encoding="UTF-8">5.1.7. Alapintegr\303\241lok.</Font></Text-field>
int(x^n,x);
int(1/(1+x^2),x);
int(exp(x),x);
int(sin(x),x);
int(cos(x),x);
int(sinh(x),x);
int(cosh(x),x);
int(1/cosh(x)^2,x);
int(x^n,x);
int(1/x,x);
int(1/sinh(x)^2,x);
int(x^n,x);
int(1/sqrt(1-x^2),x);
int(1/sin(x)^2,x);
int(1/cos(x)^2,x);
LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3"><Font encoding="UTF-8">5.1.14. Racion\303\241lis t\303\266rtf\303\274ggv\303\251nyek integr\303\241l\303\241sa.</Font></Text-field>
LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 2" layout="Heading 2"><Font encoding="UTF-8">5.3. Alkalmaz\303\241sok</Font></Text-field>
restart;
<Text-field style="Heading 3" layout="Heading 3"><Font encoding="UTF-8">5.3.8. Newton-m\303\263dszer.</Font></Text-field>
Student[Calculus1][NewtonsMethodTutor](x-cos(x),0);
relaxnewton:=proc(f::procedure,fp::procedure,x0,epsilon) local x,xx,t; x:=x0; t:=1.; print(x,t,f(x),abs(f(x)));
do if abs(f(x))<epsilon then return(x) fi;
t:=1.;
do xx:=x-t*f(x)/fp(x); print(xx,t,f(xx),abs(f(xx)));
if abs(f(xx))<abs(f(x)) then break else t:=t/2 fi;
od; x:=xx; od; end;
relaxnewton(z->z^5-z+3,z->5*z^4-1,3.+10.*I,0.0000001);
relaxnewton(z->z^5-z+3,z->5*z^4-1,(1/5.)^(1/4)+0.01,0.0000001);
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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn