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--- gibson:teaching:spring-2015:math445:lab10 [2015/04/08 13:41]
gibson [Problem 5: mystery plot]
+++ gibson:teaching:spring-2015:math445:lab10 [2015/04/08 19:27] (current)
gibson [Problem 5: quiver plot]
@@ Line 70: / Line 70: @@
 **(a)** Reproduce the above surface plot in Matlab.
-**(b)** In a gentle rainstorm, water will flow down the mountains in the direction of steepest descent, i.e. along the gradient of $f(x,y)$. Compute the gradient, then make an $x,y$ plot that shows contours of the mountain height $f$ and the direction of flow of rainwater.
+**(b)** In a gentle rainstorm, water will flow down the mountains in the direction of steepest descent, i.e. along the negative of the gradient of $f$. Find the gradient of $f$ using elementary calculus, then make an $x,y$ plot with both contours of the mountain height $f$ and a quiver plot showing the direction of flow of rainwater.
 ===== Bonus =====
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 Attribution: This lab is adapted from Prof.Mark Lyon's Math 445 Advanced Graphics lab, which is adapted from Octave demos at [[http://yapso.sourceforge.net/demo/demo.html]].
-**Note:** this lab is not over, further problems will be posted by Thursday.

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