The material was professionally presented. Great video and audio quality. You clearly had much preparation on the material and practice presenting it.
I found the speed of your speaking a bit fast; I would have liked to hear the material at about 80% of the speed you used. Also, I would have liked a couple of seconds of pause when you were going to change topics. Short breaks in the speaking could function as a cue to pause the video and think about a particular concept -- perhaps enter/explore the concepts in a Mathematica Notebook. The speed of speaking might be an issue for viewers who are not fluent in English.
I personally like to manually visualize/verify calculations; I'd like you to do that a big more frequently (but, of course, I can always do that on my own). The summation of 1/(2^k) is straightforward, but I'm not quite as fast doing the summation of 1/k!. After pause, I see how we immediately get to 5/2. Fascinating that the summation converges to e; it's the constant that won't quit! It was also great showing an example that graphically shows rectangles of integration that could be manipulated to slice with a finer/coarser granularity. In their 2022 Calculus with 3DP book, Joan Horvath and Rich Cameron note that traditional visualizations are the bane of some math students. That example could be used as a starting point for physically curve-fitting segments (with under a rubber band?) with a 3DP model. IDK if Wolfram U has considered physical models to supplement teaching of abstract concepts. Given the large support for them in the Language, it should be straightforward to do. Maybe optional exercises...
I love your reactions on certain examples. Sometimes, this stuff is fun, interesting, or just a bit strange. That's why videos and courses like this are a great path for learning. Thank you.
