{"id":605,"date":"2016-09-06T14:32:49","date_gmt":"2016-09-06T14:32:49","guid":{"rendered":"http:\/\/wordpress.rose-hulman.edu\/rickert\/?page_id=605"},"modified":"2017-03-27T15:51:19","modified_gmt":"2017-03-27T15:51:19","slug":"jhrs-ma113-maple-review-notes-page","status":"publish","type":"page","link":"https:\/\/wordpress.rose-hulman.edu\/rickert\/jhrs-ma113-maple-review-notes-page\/","title":{"rendered":"MA113 Maple Review Notes Page"},"content":{"rendered":"

You should enter the example commands into a Maple<\/i> worksheet and note the resulting output.<\/p>\n

All Maple<\/i> command must end in a semi-colon. For example:
\n 2 + 2; <\/span><\/tt>
\nWhen you see the command Warning, premature end of input<\/tt><\/span>, it usually means that a semi-colon is missing.<\/p>\n

To get a floating point evaluation of a number, use the command evalf<\/span><\/tt>:
\n evalf(sqrt(2));
\nevalf(Pi,100);
\n<\/span><\/tt>
\nTo substitute for an expression, use the subs<\/span><\/tt> command:
\n subs( x=7, x^2);
\n<\/span>
\n To solve a system of equations such as x<\/i> + y<\/i> = 10, 2x<\/i> - y<\/i> = 3, use Maple<\/i>'s solve<\/tt> command:
\nsolve( {x+y=10, 2*x-y=3},{x,y}); <\/tt><\/span><\/tt><\/tt><\/p>\n

To plot a function, use Maple<\/i>‘s plot<\/tt> command:
\n plot( x^2, x=-3..3); <\/tt><\/p>\n

If an equation does not have a nice algebraic solution, the fsolve<\/tt> command can be used to get an approximate solution. If possible, it’s helpful to plot the function and get an estimate of the solution:
\n plot( x-cos(x), x=-Pi..Pi);
\nfsolve( x=cos(x), x=.8);
\n<\/tt>
\nTo differentiate a function, use the diff<\/tt> command:
\n<\/span> diff( sin(x), x);
\ndiff( exp(3*x),x);
\n<\/tt>
\nTo implicitly differentiate using the diff<\/tt> command, you must write the dependent variable explicitly as a function of the independent variable. For example, to implicitly find dy<\/i>\/dx<\/i> when cos(x<\/i>2<\/span><\/sup>) + sin( y<\/i>2<\/span><\/sup>) = 1, we implicitly differentiate and solve for dy<\/i>\/dx<\/i>:
\n<\/span> eq:=diff( cos(x^2)+sin(y(x)^2)=1,x);
\nsolve( eq, diff(y(x),x));
\n<\/tt>
\nTo integrate using Maple<\/i>, use the int<\/tt> command.
\nIf the integral is a definite integral, include the limits as shown:
\n<\/span> int( sqrt(1-x^2), x=0..1);
\n<\/tt>
\nWhen Maple<\/i> evaluates an indefinite integral, it does not include the constant of integration, giving only one example of an antiderivative rather than the entire set of antiderivatives:
\n<\/span>int( cos(x),x);
\n<\/tt>
\nIf the integral cannot be evaluated, or evaluates to a messy expression, a floating point evaluation using the unevaluated integral command Int<\/tt> can be useful:
\n<\/span> int( exp(x^4),x);
\nInt( exp(x^4),x);
\nevalf( Int(exp(x^4),x);
\n<\/span>
\n<\/tt><\/tt><\/p>\n

\n

Go to <\/span><\/tt><\/tt><\/tt><\/tt><\/p>\n