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Course Discription |
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* The Euclidean space of -dimension, the completeness property of the space , the continuity on , the differentiability on , Roll’s theorem, the mean-value theorem, the partial derivatives, the directional derivatives, the chain rule, the mixed partial derivatives and the Implicit function theorem, functions of bounded variations, functions of total variation, the Riemann-Stieltjes integral, Riemann-Stieltjes sum, integration by parts, Euler’s summation formula, the mean-value theorems for Riemann-Stieltjes integrals. |