Real Analysis  PMATH 351  Fall 2020

This course will be taught online. Log in to Learn for more information.

 
Outline

 Normed vector spaces, metric spaces, topology (open, closed sets), continuity, completeness
 More topology: compactness, compactness in C(X), connectedness
 More on completeness: Baire category, contraction maps, completions, the real numbers
 Approximation by polynomials and the Stone-Weierstrass theorem
 Existence and uniqueness of solutions of ODEs (ordinary differential equations)


 
We will follow my PMath 351 Course Notes

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