Prerequisites for studying smooth manifold theory? I am attending first year graduate school in about three weeks and one of the courses I am taking is an introduction to smooth manifolds.  Unfortunately, my topology knowledge is minimal, limited to self study.  Besides some basic topological definitions, are there specific areas where I should become acquainted with? I have heard multivariable calculus is a 'prerequisite' for the study of smooth manifolds -- is this from an intuition perspective, and if so, what parts and to what degree of rigor are they referring?
Thank you. (My apologies if this is a repeat question, by the way -- I could not find it)

In my home University, the textbook used for the first graduate course on Manifold theory is Introduction to Smooth Manifolds, by John M. Lee. If you look it up at your library, you will see there is an Appendix with three sections: Topology, Linear Algebra, Calculus. This Appendix will give you some prerequisites you are looking for.
