I love passing on knowledge. Calculus level II this summer is wonderful. Integration is much tougher than differentiation and learning Integration techniques, their beauty and showing how to generalize is elating. Especially when it is something you have figured out and it's not just something out of the book. Passing on your own discoveries.
The more abstract technique of evening determining if an Integral exists (convergence/divergence) is wonderful in its pureness so you don't waste time trying to find an Integeration technique when the Integral is not going to exist anyway.
Vector calculus in the fall. Can't wait!
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