Brown Univ. Spring 2010 Math 114 |
Analysis on manifolds |
| Instructor. Justin Holmer. |
| Office hours. TBA. |
| Lectures. H hour (TuTh 9:00--10:20), location TBA, beginning Thurs, Jan. 28 and ending Thurs., Apr 29. |
| Short description. Differentiability in Euclidean space, some multilinear algebra. Inverse and implicit function theorems. Jacobians. Manifolds as subsets of Rn, tangent spaces and orientability. Embeddings, immersions and regular values. Exterior product, exterior derivative and pullback. Differential forms, tensor fields. Integration of forms and Stokes' theorem. See a more complete course description from Rich Schwartz's webpage. |
| Required textbooks. M. Spivak, Calculus on Manifolds. |
| Recommended books and references. |
| Course schedule. |
| Homework. |
| Exams. |