Numerical Integration

Note: These are not designed to be student facing.

I make these notes available with the intent of making it easier to plan and/or take notes from class.

Student facing resources for each topic are all available at vknight.org/gt/.

Activity (20 minutes)

Write down the derivative from the motivating example of the numerical integration appendix.

\[\frac{dy}{dt}=-gt^2/2+v_0t+y_0\]

Pick some random values and slowly step through what the value of the derivative is at each step.

Empirically come up with Euler’s method of integration. Have students provide:

  • Step size
  • What to do next
  • Etc…

Discussion (20 minutes)

Discuss notes on numerical integration.

Discussion Point: Ask students when it is useful to know how to do this by hand?

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