Math 522, Analysis II

Syllabus:[pdf] Schedule 1st week (Sept 810) Convergence of functional sequences and series, uniform convergence. 2nd week (Sept 1317) Properties of uniform convergence (pp. 147153). 3rd week (Sept 2025) Power series 4th week (Sept 27Oct 1) Elementary functions 5th week (Oct 4Oct 8) StoneWeierstrass theorem, equicontinuity. 6th week (Oct 1115) Midterm 1, equicontituity. 7th week (Oct 1822) Compactness, criteria. 8th week (Oct 2529) Compactness in C(E), contraction principle and applications. 9th week (Nov 15) Contraction principle, Fourier series 10th week (Nov 812) Fourier series 11th week (Nov 1519) Midterm 2, Fourier series 12th week (Nov 2224) Fourier series, Wiener algebra 13th week (Nov 29 Dec 3) Wiener algebra, multivariable calculus 14th week (Dec 610) Multivariable calculus, the inverse function theorem 15th week (Dec 1315) The inverse function theorem, applications 
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