Weekly Schedule

We use the text: Applied Analysis,
   by John Hunter & Bruno Nachtergaele, World Scientific Press, 2001.

The following is a possible list of topics, to be modified as needed.

Week of Topics covered (Chapter number) Notes
1/21 Review of Analysis I Classes start Tues 1/21
1/28 Product measures and Fubini (12)  
2/4 Notions of convergence; Banach spaces (1, 2)  
2/11 Compactness; Arzela-Ascoli (2)  
2/18 Application to DEs (3) 2/19: UM Monday
2/25 Banach & Lp spaces (5)  
3/4 Basic Inequalities (5, 12) 3/9 Spring Break
3/18 Linear functionals; Hahn-Banach (5)  
3/25 Hilbert spaces (6)  
4/1 Bounded Linear Operators on H (8)  
4/8 Fourier Series (7)  
4/15 Distributions (11)  
4/22 Fourier Transform (11)  
4/29 Wed 5/1: Classes end

This schedule is a guide to which sections should be covered when and will likely be adjusted as needed by individual instructors. Homeworks will generally be due about a week after topics are covered in class.