Chapter 8
Homework
Math 555

section

note to yourself
of date due

problems

8.1
Pointwise Convergence and Interchange of Limits
  Read section and then do Problems 2, 3.
8.2
Uniform Convergence
  Choice of 2 from: 2c, 3, 5b, 12, 13.
8.3
UC & Continuity
  choice of 2 from:
7 (you can draw pictures to help explain your example),
10,
13 (you do not need to show that it is a normed lienar space ... we already know this ... just show that it is complete (def 8.3.10) ) .
8.4
UC & Integration
  choice of 2 from: 3, 5, 11.
8.5
UC & Diff.
  Choice one from: 1, 3.
8.6
Weierstrass Approximation Thm
 
  • Know the statement of Theorem 8.6.1.
  • Read the rest of the section for your general knowledge.
8.7
Power Series Expansions
  homework to come ...
8.8
Gamma Fn.
  read for your general knowledge.


Findable from URL: http://www.math.sc.edu/~girardi/