MAA 4212 Advanced Calculus II (Spring 96) --- Homework
- Homework 1 due Wednesday, January 10
- Homework 2 due Friday, January 19
- p.93 # 26,29
- Let S = [0,1]x[0,1] = {(x,y): 0<= x,y <= 1}.
Prove that no continuous function f: S --> R can
be one-to-one. (This is a special case of #30 p.30)
- Homework 3 due Wednesday, January 24
- Define f(x) = 0 if x=0 and f(x) = x sin(1/x) otherwise.
Determine if f is differentiable at x=0.
If it is, find f'(0).
- Homework 4 due Wednesday, January 31
- Homework 5 due Monday, February 5
- Homework 6 due Wednesday, February 14
- Let a < b < c < d. Suppose f : [a,d] --> R is
Riemann integrable. Prove that f is Riemann integrable
on [b,c].
- Homework 7 due Monday, February 26
Created by F.G. Garvan (frank@math.ufl.edu) on Friday, January 5, 1996.
Last update made on Monday, February 19, 1996.
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