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Contents, Appendix, and Index
Chapter 4
Chapter 5
Chapter 6
Chapter 7
Seventh homework assignment, due Wednesday, May 16
in my office by Noon
Two problems: (A) Chapter 6, p. 205 #48
(B) Let R denote the real numbers, let X=[-1,1]=
{x in R : -1 <= x <= 1}, and let C=C(X,R) be the ring of continuous
functions from X to R. Let h in C be the function defined by h(x)=x
for all x in X and let I be the ideal of C generated by h.
Prove that I = {f in C : f(0)=0 and f'(0) exists}.
(f'(0)=the derivative of f at 0.)
Sixth homework assignment, due Tuesday, May 8
(Note change of date)
Chapter 5, pp. 164-8 #4c,24,26,33
Fifth homework assignment, due Thursday, April 19
Note some changes: Most important - Problem 12 is
dropped.
Chapter 5, pp. 164-5 #4b,13,14
Fourth homework assignment, due Tuesday, April 10
(Note some changes)
Chapter 5, pp. 164-5 #1,3,4a,8ae,9
Third homework assignment, due Thursday, March 8:
Chapter 4, p. 135 #26,27,28
These problems are more involved than usual: think of this
as a take-home midterm. Problem 26 will be worth 15 points, problem
27 will be worth 10 points, and problem 28 will be worth 20 points.
Second homework assignment, due Thursday, February 15:
Chapter 4, p. 134 #17,20,21a
First homework assignment, due Thursday, February 8
(note change of date):
Chapter 4, p. 133 #9,10,11