The essence of calculus! Hoorah!
"In learning about the fundamental theorem of calculus, what type of learning did you primarily rely on, deductive or inductive? Or did you rely on both? Be specific! Also, explain why you believe the fundamental theorem of calculus is so fundamental? In your mind, what does it mean, what are it’s implications, and how does it fit in the context of calculus broadly?”
In order to learn the illustrious fundamental theorem of calculus, I used both inductive and deductive reasoning, though I relied more on deductive. The activities we did and the previous sections explain the concept of the theorem well enough so that, when I was formally introduced to it, I already had a rough idea of what was going on. The examples we went through during the notes helped to clear up my understanding a bit more, but I think the fact that I had the concept beforehand really helped. I think this concept is so central to calculus because it ties in all of the separate parts to form a coherent whole. It explains the relationship between the derivative and the integral, the two biggest parts of calculus.
"In learning about the fundamental theorem of calculus, what type of learning did you primarily rely on, deductive or inductive? Or did you rely on both? Be specific! Also, explain why you believe the fundamental theorem of calculus is so fundamental? In your mind, what does it mean, what are it’s implications, and how does it fit in the context of calculus broadly?”
In order to learn the illustrious fundamental theorem of calculus, I used both inductive and deductive reasoning, though I relied more on deductive. The activities we did and the previous sections explain the concept of the theorem well enough so that, when I was formally introduced to it, I already had a rough idea of what was going on. The examples we went through during the notes helped to clear up my understanding a bit more, but I think the fact that I had the concept beforehand really helped. I think this concept is so central to calculus because it ties in all of the separate parts to form a coherent whole. It explains the relationship between the derivative and the integral, the two biggest parts of calculus.