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Special functions, orthogonal polynomials, harmonic analysis, ordinary differential equations (ODE's), differential relations, calculus of variations, approximations, expansions, asymptotics.

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Calculus Teaching: Is it possible or desirable to give a severely abbreviated treatment of s...

Is it possible? Of course, it is, as you have implied. Is it desirable? It much depends on your big picture of the course and the bigger picture of the previous and the next courses. Any way, here is …