I probably *should* leave this until next semester, but I think I'll likely leave this as an end-of-chapter exploration, once we finish going over Taylor series. I'll try to remember to send it to you when it's ready!

Anyways, that was my small win for the semester, and I'm glad that this text was helpful to students.

If you want to see what they were up to, they were told to do these two activities:
1. www.discovercalculus.com/web/sec-FTOC...
2. www.discovercalculus.com/web/sec-FTOC...

Having these interactive activities has mainly been geared towards what to do in class, but I also hoped that they could be helpful for students who miss class or want to recreate the same kind of environment. It seems like it worked really well in this specific instance!

In class when we returned, about a third of the students told me about how they just kept reading and kept doing more of the "in-class" activities. They were excited about finishing the Fundamental Theorem of Calculus and learning what how to compute definite integrals.

Students were supposed to do two activities to build the first part of the Fundamental Theorem of Calculus. Then, I figured we'd construct the second part together, and not lose too much time.

Not only did most students actually do it, but many of them worked ahead!

Still lots to do compiling everything and updating the website, but we can celebrate for now!

#MathSky 🧮
#ITeachMath

I think it's missing in a lot of early college courses, too! Students get the feeling (in calculus courses, at least) that math is more about computing things instead of exploring objects and their properties!

The third one is! The first two interactive ones are built using Doenet and the last one is just plain tikz.

We get to see that continuity sure does help to make the limit of the Riemann sum exists, and so it's an important property in terms of integrability, but not a necessary one!

#MathSky
#iTeachMath