Sunday, September 5, 2010

Starcraft 2 Wings of Liberty and Calculus: UPDATE 1

Starcraft 2 Wings of Liberty and Calculus
Starcraft 2 Wings of Liberty and Calculus: UPDATE 1
This is an update to an earlier post.
Let’s see if we can get some information from the graph. Below is a screenshot of the GeoGebra applet.

Here’s a few questions:
  • Which approximation gives the best estimate of total resource collected? Why?
  • If the graph represents the instantaneous resource collection rate (in the context of this game), which sum will provide the best approximation?
  • If the graph represents the average resource collection rate, which sum will provide the best approximation?
  • The red line shows an increase followed by a decrease, what does that mean in context?
  • What happens to the approximation as the number of columns is decreased? What happens when it is increased?
  • Is there information that can help us determine if the graph displays instantaneous collection rate or average collection rate?
  • Whats your best estimate about the amount of resources collected?
Below are 2 screenshots that show the amount of unspent resources by each team on the top right and the amount spent resources in the menu on the top left.


Let’s check our answers:
  • Which sum provided the best approximation?
  • What are some sources of error?
Now let’s connect the graph to what’s happening:
  • Why does the graph of resource collection rate rise and fall?
  • Why does the graph have humps and plateaus? What do they represent? (hint)
  • How did the red player have a steeper rise on the second hump (after first plateau) than the blue player? (hint)
  • What caused the drop-off in the red graph near the end? Does the drop off mean the red player is losing resources or gaining less resources?
  • In the beginning why did the blue graph have dips in its graph? (hint)

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