19.5 Where do we go from here?

In a usual calculus course you learn very little about numerical computations, and instead spend time applying integration to computing volumes of certain surfaces in three dimensions.

This is something worth doing, I am sure, but I am getting tired of torturing you, and suggest you learn this elsewhere.

The next step after studying calculus, is learning how to use the ideas and techniques already discussed to handle problems in three or more dimensions. It turns out that no new techniques are necessary to do this, and with the appropriate definitions and concepts, you can do wonders.

If you want to learn about such stuff, you could do worse than looking at course 18.013A, which is on the web.

We will do one more thing, and that is to discuss handling differential equations, like those produced in the modeling in earlier chapters.