## MIT 1803 lecture 1

I started back at the beginning of the MIT math differential equations lecture series, and watched the first 18-03 Spring lecture. Vastly helpful for me as I hadn’t taken a class in differential equations. This covered the geometric view of understanding differential equations, drawing the **direction field**, **integral curves**, and **isoclines**. He observed pointedly that one of the difficulties with differential equations is that you don’t know what the domain of a solution will be until you’ve fully calculated the curve.

Integral curves cannot cross, nor can they even touch tangentially!

By the phrase “one and only one” we imply **existence **and **uniqueness**.

There is an online direction field plotter available.

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