This will be a book of Math Circle Topics for teachers of calculus.
Each section of the book will follow the same format:
A basic setting for the conversation.
Leveled questions will be listed, along with encouragement to write your own.
[Level 1] Means you know the answer, or know exactly how to do this problem.
[Level 2] Means you think you know how to do the problem.
[Level 3] Means you have no idea how to do the problem.
We must explain what content we expect people to take from this.