{VERSION 2 3 "SGI IRIS UNIX" "2.3" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 }{CSTYLE "" 0 21 "" 0 1 0 0 0 1 0 0 0 0 2 0 0 0 0 }{CSTYLE " " -1 256 "" 1 24 0 0 0 0 1 0 1 0 0 0 0 0 0 }{PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Heading 1" 0 3 1 {CSTYLE "" -1 -1 "" 1 18 0 0 0 0 0 1 0 0 0 0 0 0 0 }1 0 0 0 6 6 0 0 0 0 0 0 -1 0 }{PSTYLE "Heading \+ 2" 3 4 1 {CSTYLE "" -1 -1 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 4 4 0 0 0 0 0 0 -1 0 }{PSTYLE "" 0 256 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 }3 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "" 3 257 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "" 3 258 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {PARA 256 "" 0 "" {MPLTEXT 0 21 0 "" }}{PARA 257 "" 0 "" {TEXT 256 14 "Calculus Lab 1" }}{PARA 258 "" 0 "" {TEXT -1 21 " Basic \+ Maple commands" }}{PARA 3 "" 0 "" {TEXT -1 0 "" }}{SECT 0 {PARA 4 "" 0 "" {TEXT -1 56 "Assigning variables\nCalling sequence: lhs := \+ rhs; " }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "a:= Pi^2:" }}}} {SECT 0 {PARA 3 "" 0 "" {TEXT -1 171 "Evaluating an expression:\nCalli ng sequence: evalf(expr, n);\nevalf evaluates to floating-point \+ numbers expressions (or subexpressions) involving constants such as Pi ." }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "evalf(a,30):" }}}} {SECT 0 {PARA 3 "" 0 "" {TEXT -1 42 "Square root:\nCalling sequence: s qrt(expr);" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "sqrt(120.4):" }}}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 97 "Problem: Find out the error t hat Brahmagupta made when he thought\nthat pi was square root of 10. \+ " }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1 "?" }}}}{SECT 0 {PARA 3 " " 0 "" {TEXT -1 73 "Problem: Work out the reciprocal of pi square up t o 20 decimal precision." }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1 "? " }}}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 134 "Sum:\nCalling sequence: s um(f,k=m..n);\nParameters:\n f - an expression\n k - a nam e, the summation index\n m, n - integers" }}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 17 "sum(k^2,k=1..10):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "sum(2*k+1,k=0..8):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "sum(2*k+1,k=0..n):" }}}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 99 "Problem: Find the sum of reciprocals of the first ten tho usand integers\nup to 20 decimal precision." }}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 1 "?" }}}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 40 "Expand: \nCalling Sequence: expand(expr);" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "expand((x+1)^6):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "expand((x+1)*(x-6)*(x-8)):" }}}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 40 "Factor:\nCalling Sequence: factor(expr);" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "factor(x^6-1):" }}}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 44 "Simplify:\nCalling Sequence: simplify(expr);" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "simplify((x^3-1)/(x-1)):" }}}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 139 "Plot:\nCalling Sequence: plo t(f, h, v)\nParameters:\n f - function(s) to be plotted\n h - hori zontal range\n v - vertical range (optional)" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 32 "plot(1/(x^2+1),x=-2..2,y=-1..2);" }}}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 129 "Sequence:\nCalling Sequence:\n seq(f, \+ i = m..n)\n Parameters:\n f - any expression\n i - name\n \+ m, n - numerical values" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "seq(i^2,i=1..50):" }}}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 236 "Multiple plot:\nCalling Sequence:\n plot(\{f1,f2,...\},h,v,options);\n plo t([f1,f2,...],h,v,options);\nParameters:\n h - horizonta l range\n v - vertical range (optional)\n f1,f2,... \+ - functions to be plotted" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 43 "plot(\{sin(x),sin(2*x),sin(3*x)\},x=0..2*Pi);" }}}{EXCHG {PARA 0 " > " 0 "" {MPLTEXT 1 0 81 "plot([sin(x),sin(2*x),sin(3*x)],x=0..2*Pi,\n color=[red,blue,magenta],thickness=2);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "seq(sin(n*x),n=1..20):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 42 "plot(\{\nseq(sin(n*x),n=1..10)\n\},x=0..2*Pi);" }}}} {SECT 0 {PARA 3 "" 0 "" {TEXT -1 31 "Problem: cos(n^2*x) for n=1..3." }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1 "?" }}}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 38 "Limit:\nCalling Sequence: limit(f,x=a);" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "limit(sin(x)/x,x=0):" }}}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 118 "Problem: Work out the limit of (1-cos(x) )/x^2 at x=0. Plot the graph near\nx=0. What happens if you replace x^ 2 by x^3?" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1 "?" }}}}}{MARK "5 0 0" 140 }{VIEWOPTS 1 1 0 3 2 1804 }