Our goal in this class is to study the geometry of functions of several variables, broadly referred to as mathematical analysis. We will construct theories of differentiation and integration and give rigorous proofs of analogues of the classical theorems of calculus in this broader setting. Our main source will be Spivak's Calculus on Manifolds, though lectures will also draw from other similar texts, listed below.
There will be three forms of graded work:
Our general policy about late work is strict: we will not permit assignments to be handed in late or exams to be taken on other days without some written mandate from a doctor or the university administration.
Our meeting times for lecture, for office hours, and with the CAs have all been posted below. I will be updating this webpage throughout the semester.
Due April 26th: | problem sheet |
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Due April 19th: | problem sheet |
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Due April 12th: | problem sheet |
(solutions) | |
Due March 22nd: | problem sheet |
(solutions) | |
Due March 8th: | problem sheet |
(solutions) | |
Due February 22nd: | problem sheet |
(solutions) | |
Due February 15th: | problem sheet |
(solutions) | |
Due February 8th: | problem sheet |
(solutions) |
This is a work in progress.