My advanced calculus class of students is a fruit salad of experiences. I have sophomores through seniors who have taken no proofs classes through either our abstract algebra course or our introduction to proofs class. Why do I think of this as a fruit salad? Because they are all different flavors and textures, but are all welcome in the class. I have one banana who is pretty sure he is in over his head, but having had him in other classes, I know he is capable.
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