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...Math calculus on manifolds spring lectures wednesday thursday friday lecture hall complex room instructor chitrabhanu chaudhuri oce main building hours pm or by appointment email iiserpune ac in texts michael spivak a modern approach to classical theorems of advanced westview press united states america j r munkres analysis assignments and quizzes there will be weekly class points distribution final grades determined as follows midterm topics directional derivatives partitions unity derivative linear map change variables inverse implicit function vector elds immersions n dierential forms submersions stoke s theorem for rn measure zero sets submanifolds statement sard tensoreldsanddierentialformsonsubman integrable functions ifolds fubini plan date material comments jan tu euclidean space assignment we partial th mon higher jacobian tutorial integration rectangles feb examples quiz proof mid semester exams mar with boundary tangent no multilinear algebra apr integrating stokes using...