Slope fields are a way to visualize differential equations. The idea is simple - generate an array of points, calculate the slope at each point, and draw a short line segment through each point with the appropriate slope. The utility of slope fields is that they allow you to visualize solutions to differential equations (keeping in mind that in general, integrating to solve can be very difficult).
Euler's method is a process for finding an approximation for a y value given an initial condition. It is an iterative process and outside of occasionally dealing with obnoxious fractions, it should be fairly straightforward arithmetic. Tomorrow in class I'll give you a visual of what Euler's method is doing.
Thanks to Rachel for taking notes today.
p1
p2
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