1S3 TUTORIAL - December

1. Mathematica:
   • Define a function
     

     f(x) = e(px/L)

   • Plot this from -5 to 5
   • Determine ò₀^pf(x)dx
   • Find the eigenvalues of {{2,3},{4,4}}.

2. The line:
   • What is the equation of the line passing through the points (3,4) and (6,7)? Is the point (1,1) also on this? Recall that the equation of a line is
     

     y = mx+c,

     where the slope m is given by
     

     y2-y1 x2-x1 .

3. The derivative:
   • Where is the polynomial 2x²-3x+1 increasing and where is it decreasing? Plot it and look at the derivative(which you can determine using the fact that xⁿ goes to nx^n-1 or Mathematica).

4. Express (567)₈ in binary.

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On 28 Nov 2002, 16:29.