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Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.
1
vote
Proving the non-degeneracy of the critical points of the potential function for a certain ve...
I consider it highly unlikely that the critical points are always nondegenerate. Intuitively, you can imagine a finite number of such points for a generic choice of $q$, which could then "collide" for …
5
votes
Assessing effectiveness of (epsilon, delta) definitions
I believe that epsilon-delta definition is immediately appealing to students with a certain clarity of mind, who find the heuristic notion of limit vague and confusing. It certainly was the case with …