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{PSTYLE "Author" 0 19 1 {CSTYLE "" -1 -1 "" 0 1 0 0 62 0 0 0 0 0 0 0 
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{SECT 0 {EXCHG {PARA 18 "" 0 "" {TEXT -1 15 "15-Minute Maple" }}{PARA 
18 "" 0 "" {TEXT -1 24 "Physics 211: Spring 1998" }}}{EXCHG {PARA 19 "
" 0 "" {TEXT -1 16 "Steven R. Dunbar" }}{PARA 19 "" 0 "" {TEXT -1 40 "
Department of Mathematics and Statistics" }}{PARA 19 "" 0 "" {TEXT -1 
30 "University of Nebraska-Lincoln" }}{PARA 19 "" 0 "" {TEXT -1 23 "Li
ncoln, NE, USA  68588" }}{PARA 19 "" 0 "" {TEXT -1 20 "sdunbar@math.un
l.edu" }}{PARA 256 "" 0 "" {TEXT -1 32 "http://www.math.unl.edu/~sdunb
ar" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 295 "\n1-1: Define expressions,
 plotting, differnetiation, integration\n\nKeywords: expressions, plot
ting, differentiation, derivative, integral, integration\n\nOBJECTIVE:
 Learn how to define an expression, plot an expression, differentiate \+
an expression, integrate an expression to an indefinite integral" }}
{PARA 0 "" 0 "" {TEXT -1 40 "\nPREREQUISITE: First semester calculus.
\n" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 81 "MAPLE TIP:  Maple commands \+
always end in a semi-colon before they an be executed!" }}}{SECT 1 
{PARA 3 "" 0 "" {TEXT -1 22 "Defining an expression" }}{PARA 0 "" 0 "
" {TEXT -1 0 "" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 73 "An expression is
 a legal, meaningful combination of mathematical symbols." }}{PARA 0 "
" 0 "" {TEXT -1 52 "Sometimes an function is defined with an expressio
n." }}{PARA 0 "" 0 "" {TEXT -1 69 "Im Maple, we give a name to an expr
ession with the \"define\" symbol :=" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 16 "sqr_expr := x^2;" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 20 "trig_expr := sin(x);" }}}{EXCHG }{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 28 "poly := x - x^3/6 + x^5/120;" }}}}{SECT 1 {PARA 
3 "" 0 "" {TEXT -1 22 "Plotting an expression" }}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 22 "plot( x^2, x = -2..2);" }}}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 34 "plot( trig_expr, x = -2*Pi..2*Pi);" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 0 "" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 29 "Differentia
ting an Expression" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 49 "Use the diff
( , ) to differentiate an expression." }}{PARA 0 "" 0 "" {TEXT -1 124 
"You must supply the expression,and the variable to differentiate with
 respect to, as many times as you want  the derivative." }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "diff( x^2, x);" }}}{EXCHG {PARA 0 "
> " 0 "" {MPLTEXT 1 0 19 "diff( sqr_expr, x);" }}}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 30 "first_deriv := diff( poly, x);" }}}{EXCHG {PARA 
0 "> " 0 "" {MPLTEXT 1 0 33 "second_deriv := diff( poly, x,x);" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{SECT 1 {PARA 3 "" 0 "
" {TEXT -1 25 "Integrating an expression" }}{EXCHG {PARA 0 "" 0 "" 
{TEXT -1 197 "Use the int( , ) command to integrate an expression.  Be
 sure to include both the expression,and the variable to integrate wit
h respect to.  Note that the constant of integration C is not attached
." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 76 "You \+
can do a definite integral by putting a rane on the integration variab
le" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "int( x^2, x);" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "int( x^2, x= 1..2);" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "int( poly, x);" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "int(sin(x), x);" }}}{EXCHG {PARA 0 
"> " 0 "" {MPLTEXT 1 0 0 "" }}}}}{MARK "7" 0 }{VIEWOPTS 1 1 0 1 1 
1803 }