WELCOME TO MATH 165. This is a short introduction to the course while getting acquainted with MAPLE! read(moco); 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 factor(f); NiMsJCoqSSJ4RzYiIiIiLCgqJEYlIiIjRioqJkYlRidJInlHRiZGJ0YnKiRJInpHRiYiIiRGJ0YnLCYqJkYlIiImRixGKkYnKiRGLkYqISIiRicsJkYlRicqJkYsRidGLkYnRjQiIighIiQ= We can also factorize integers using MAPLE: ifactor(1302387694); NiMqKC1JIUc2IjYjIiIjIiIiLUYlNiMiIyQpRiktRiU2IyIoNGQleUYp Now we look at other symbolic computation. Symbolic integration: # <---- This symbol can be use to comment code. It is important to know how to ask for HELP!! help(int); f:=(x^2-1+3*(1+x^2)^3)/(1+x^2)^3*x/(x^2+2); int(f,x); int( x/(x^3-1), x ); It can of course do NUMERIC integration too!! r := int( sech(x)*exp(-x^2), x = -infinity..infinity ); evalf(r); int(1/(x*sqrt((b*x+c*x^2)^3)),x); NiMsJCosLCoqKkkiY0c2IiIiIiwmKiZJImJHRihGKUkieEdGKEYpRikqJkYnRilGLSIiI0YpI0YpRi9GLUYpRixGKSIiJSooRidGL0YqRjBGLUYvIiImKiZGKkYwRixGLyEiIiooRidGLyomRi1GKSwmRixGKSomRi1GKUYnRilGKUYpRjBGLUYvIiIkRilGLUY1RjdGMEYsISIkKiZGLUY6RjhGOiNGNUYvI0YvRjo= factor(%); NiMsJCoqLCZJImJHNiIiIiIqJkkieEdGJ0YoSSJjR0YnRihGKEYoLCgqKEYrRihGKkYoRiZGKCIiJSomRisiIiNGKkYwIiIpKiRGJkYwISIiRihGJiEiJComRioiIiRGJUY2I0YzRjAjRjBGNg== simplify(%) assuming positive; NiMsJCoqLCgqKEkiY0c2IiIiIkkieEdGKEYpSSJiR0YoRikiIiUqJkYnIiIjRipGLiIiKSokRitGLiEiIkYpRishIiRGKiNGMkYuLCZGK0YpKiZGKkYpRidGKUYpI0YxRi4jRi4iIiQ= subs(b+c*x=y/x,%); NiMsKCoqSSJiRzYiISIjSSJ4R0YmIyEiIiIiIyomSSJ5R0YmIiIiRihGKkYpSSJjR0YmRi4iIiUqKkYlISIkRigjRi5GK0YsRilGL0YrIiIpKihGJUYqRigjRjJGK0YsRilGKg== expand(%); NiMsKCoqSSJiRzYiISIjSSJ4R0YmIyEiIiIiIyomSSJ5R0YmIiIiRihGKkYpSSJjR0YmRi4iIiUqKkYlISIkRigjRi5GK0YsRilGL0YrIiIpKihGJUYqRigjRjJGK0YsRilGKg== MAPLE also has graphic capabilities: Suppose we want to plot the absolute value of the Riemann Zeta function on the critical line of those complex numbers of real part=1/2. plot(abs(Zeta(1/2+y*I)),y=0..36, numpoints=1000); 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MAPLE can do Linear Algebra! (but you have to load the right package) with(linalg); Warning, the protected names norm and trace have been redefined and unprotected
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