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Flow Control
If condition Then
statements
Else
statements
End If
If x=0 Then
f=1
Else
f=sin(x)/x
End If
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Flow Control
For counter=start To end
statements
Next
For i=1 To 100
sum=sum+i
Next
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Flow Control
Do Until condition
statements
Loop
i=1
x=1
Do Until i=50
x=x*i
i=i+1
Loop
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Flow Control
Do While condition
statements
Loop
i=1
x=1
Do While i<50
x=x*i
i=i+1
Loop
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A factorial routine
Function fact(Z)
x = 1
ans = 1
Do Until x = Z
ans = ans * x
x = x + 1
Loop
fact = ans
End Function
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Another Solution
Function fact(Z)
ans = 1
For i = 1 To Z
ans = ans * i
Next
fact = ans
End Function
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Root-Finding
Use fzero function in Matlab
Use Solver in Excel
Either are pretty simple
Solver not as “automated” as the rest of 
Excel
Solver Demo
Root-Finding Macro
Function newtroot(guess)
x = guess
tolerance = 0.0001
Do
xold= x
x = x -fff(x) / fprime(x)
diff = Abs((xold-x) / x)
Loop Until diff < 
tolerance
newtroot= x
End Function
Function fff(x)
fff= x * Sin(x) -1
End Function
Function fprime(x)
fprime= Sin(x) + x * 
Cos(x)
End Function
Quadrature
quadlfunction in Matlab
No built-in routine in Excel
Can easily add one in VBA
I’ve provided a simple Simpson’s routine
Matlabroutine is adaptive
Trapezoidal Macro
Function trap(a, b, N)
h = (b -a) / N
t = 0.5 * ff(a) + 0.5 * ff(b)
If N > 1 Then
For i= 1 To N -1
x = a + i* h
t = t + ff(x)
Next
End If
trap = h * t
End Function
Function ff(x)
ff = Sin(x)
End Function
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