MATH 622 Notes

Supplementary Notes

I will post additional notes or information on this page as the semester progresses. Class exercise handouts will be kept at the top of the page. Web links could also be posted here, so let me know if you find something that you think would be useful or interesting to your classmates. If I agree, I will post it.

Class Exercise Handouts

(04/05) The Contraction Mapping Principle

(03/08) Orthonormal Sets and Fourier Series

(01/30) Uniform Convergence

(01/23) Interchanging Limits

Additional Notes


02/06
  1. Here is an alternative proof of the original Weierstrass Theorem.
02/20
  1. The discussion of interchanging the order of summation given in class was taken from Michael Wichura’s notes (click on “Sums and Limits”). Please observe the copyright notice on this page.