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{SECT 0 {EXCHG {PARA 0 "" 0 "" {TEXT -1 24 "Homework 1 problems 1-3:" 
}}{PARA 0 "> " 0 "" {MPLTEXT 1 0 35 "with(plots);with(VecCalc): VCalia
s:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 158 "f:=(x,y)->sin(x)*cos
(y); Gradient_f:=Grad(f); Laplacian_f:=Lap(f); plot3d(sin(x)*cos(y), x
=-Pi..Pi, y=-Pi..Pi, grid=[100,100], axes=boxed, style=patchnogrid);" 
}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 154 "g:=(x,y)->3*x^2+5*y^2; G
radient_g:=Grad(g); Laplacian_g:=Lap(g); plot3d(3*x^2+5*y^2, x=-Pi..Pi
, y=-Pi..Pi, grid=[100,100], axes=boxed, style=patchnogrid);" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 73 "h:=(x,y,z)->cos(x*y)*exp(2*z
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0 "" {MPLTEXT 1 0 59 "h2:=(x,y,z)->(cos(x*y)*exp(2*z))^2; Laplacian_h2
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>(1/(4*Pi*t))*exp(2*t)*exp(-(x^2+y^2)/(4*t)); Pt:=D[1](P); Pxx:=D[2,2]
(P); Pyy:=D[3,3](P);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 43 "Pt(
t,x,y)-Pxx(t,x,y)-Pyy(t,x,y)-2*P(t,x,y);" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 12 "simplify(%);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 20 "
Homework 2 problem 5" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "fso
lve(\{tan(Pi*x)-x=0\}, \{x\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 
1 0 39 "fsolve(\{tan(Pi*x)-x=0\}, \{x\}, 0.5..1.5);" }}}}{MARK "11" 0 
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