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Abstract: Some of the most appealing theorems in combinatorial topology already appear in mulivariable calculus classes, although often in disguised forms. In this lecture we will visit the parity lemma, the winding number, non-embeddability of the Klein bottle, the critical point theorem, and the Whitney duality theorem, using computer graphics demonstrations from a 'paperless' Internet-based first course in multivariable calculus.
This talk will be accessible to undergraduates.
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