Today, Professor Greenburg had a magic wand to help him draw equations on the polar coordinate system. While he was graphing, there was a slight problem of deciding how to figure out where r = 0 (because we need to know when r < 0 occurs). I felt kind of silly when I said, "set the equation equal to zero and solve." Ah! There was really a more elegant solution, and that comes with realizing that I am SKETCHING a graph, I don't care about being precise. (Polar graphs are kind of weird because it really doesn't matter what r is... scale is a funny thing.) All I needed to do was look at places where r goes from negative to positive or vice versa. Other than that tricky part, I think the lecture was fairly straight forward.
I learned how to:
convert points (x, y) << >> [r, theta]
convert equations y = ax + b << >> r(theta) = []
graph inequalities a < r < b
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