Maple: Computer Algebra System for Math 2072 - Intro, Operations, Limits, Diff, Integratio, Assignments of Calculus

Instructions for using maple, a computer algebra system, to perform various mathematical operations including basic operations, limits, differentiation, integration, and graphing. Students enrolled in mathematics 2072 are encouraged to follow the commands and examples given to gain proficiency in using maple for calculus topics.

Typology: Assignments

Pre 2010

Uploaded on 08/04/2009

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MATH 2072 Maple Introduction Name:
Maple - computer algebra system able to do symbolic manipulations for the various Calculus topics covered this
semester as well as 2D and 3D graphing and animations.
1. Basic Operations -
Use“:=” to assign values or functions.
Use “:” at the end of the line, if you do not want to see the result.
Use “;” at the end of the command line, if you DO want to see the result.
Use “*” for constant multiplication. For example 3x would be typed as 3*x
Use commands starting with lower case to evaluate an expression.
Use commands starting with UPPER case to write an expression.
Type in and execute the following commands.
>7+5;
>a = 7; b = 5; a + b;
>a:= 7; b := 5; a + b;
> f := x> x2: g:= x> x 4: h:= x>cos(x):
> f(2);
> f(h(x));
> g(h(f(2)));
>evalf(g(h(f(2))));
2. Limits
Type in and execute the following commands used to evaluate limits.
> f := x> x34x2 + 11:
>limit((f(x+h)-f(x))/h,h=0);
>limit((1+sin(x))cot(3*x),x=0);
pf3

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MATH 2072 Maple Introduction Name:

Maple - computer algebra system able to do symbolic manipulations for the various Calculus topics covered this semester as well as 2D and 3D graphing and animations.

  1. Basic Operations - Use“:=” to assign values or functions. Use “:” at the end of the line, if you do not want to see the result. Use “;” at the end of the command line, if you DO want to see the result. Use “” for constant multiplication. For example 3x would be typed as 3x Use commands starting with lower case to evaluate an expression. Use commands starting with UPPER case to write an expression.

Type in and execute the following commands.

7+5;

a = 7; b = 5; a + b;

a:= 7; b := 5; a + b;

f := x− > x∧2: g := x− > x − 4: h := x− > cos(x):

f (2);

f (h(x));

g(h(f (2)));

evalf(g(h(f (2))));

  1. Limits Type in and execute the following commands used to evaluate limits.

    f := x− > x∧ 3 − 4 ∗ x∧2 + 11: limit((f(x+h)-f(x))/h,h=0);

limit((1+sin(x))∧cot(3*x),x=0);

limit(3*x/sqrt(x∧2+1),x=infinity);

  1. Differentiation

Type in and execute the following commands used to evaluate derivatives.

diff(csc(x),x);

Diff(exp(x∧3),x) = diff(exp(x∧3),x);

  1. Integration

Type in and execute the following commands used to evaluate integrals.

int(ln(x),x);

int(exp(−x∧2),x=0..infinity);

int(x*(x+4)∧2,x);

f := x− >(1-x+2x∧2-x∧3)/(x(x∧2+1)∧2);

f(x) = convert(f(x),parfrac,x);

int(f(x),x);