MA 425-002
Mathematical Analysis I
Mathematics
Homework
Assigned Aug. 22
Sec. 2.1, problems 4, 5, 11b. (On 4 and 5, justify each step from the axioms; on 11b you can use other things we have proved.) Turn in Friday, Aug. 26.
Assigned Aug. 26
Sec. 2.1, problem 18. Sec. 2.2, problem 5. Turn in Friday, Sept. 2.
Assigned Aug. 29
Sec. 2.2, problem 15. Sec. 2.3, problems 5, 6, 10. Turn in Friday, Sept. 2.
Assigned Sept. 1
Sec. 2.4, problems 6 (sup only), 7 (sup only). Turn in Friday, Sept. 9.
Assigned Sept. 2
Sec. 2.5, problem 2. Turn in Friday, Sept. 9.
Assigned Sept. 7
Sec. 3.1, problems 5b, 6c. Turn in Friday, Sept. 9.
Assigned Sept. 9
1. Sec. 3.1, problem 10.
2. Suppose lim(x_n)=x and c is fixed real number. Use the definition of limit (not theorems about limits) to show that lim(cx_n)=cx.
3. Sec. 3.2, problem 7.
Turn in Friday, Sept. 16.
Assigned Sept. 23
Click here. Turn in Friday, Sept. 30.
Assigned Sept. 26
Click here. Turn in Friday, Sept. 30.
Assigned Sept. 30
Click here. Turn in Friday, Oct. 14.
Assigned Oct. 4
Sec. 4.2, problems 5, 6. Give epsilon-delta proofs. Turn in Friday, Oct. 14.
Assigned Oct. 5
Click here. Turn in Friday, Oct. 14.
Assigned Oct. 10
Sec. 5.1, problems 7, 9, 12. Do not turn in.
Sec. 5.1, problem 3. Turn in Friday, Oct. 21.
Assigned Oct. 14
Sec. 5.2, problems 7, 10. Do not turn in.
Sec. 5.2, problems 8, 11. Suggestion for 11: Let h(x)=f(x)-g(x). Then S = {x : h(x) ge 0}.Turn in Friday, Oct. 21.
Sec. 5.3, problems 6, 11. Suggestion for 6: If f(1/2)=f(1), let c=1/2. Otherwise, show that g(0) and g(1/2) have opposite sign, and use Thm. 5.3.5. Suggestion for 11: Show that f(w)<0 and f(w)>0 are both impossible.
Turn in Friday, Oct. 21.
Assigned Oct. 17
Sec. 5.4, problems 2, 6. Turn in Friday, Oct. 21.
Assigned Oct. 28
Sec. 6.1, problems 1b, 1c, 2, 4. Sec. 6.2, problems 6, 8, 13 (see definition on p. 171), 15. Turn in Friday, Nov. 4.
Assigned Nov. 2
Sec. 6.4, problems 11, 15. Turn in Friday, Nov. 11.
Sec. 7.1, problems 1a, 2b. Do not turn in.
Sec. 7.1, problems 6a, 11. Turn in Friday, Nov. 11.
Assigned Nov. 11
Sec. 7.2, problems 8, 11
Turn in Friday, Nov. 18.
Assigned Nov. 14
Sec. 8.1, problems 3, 4, 13, 14.
Turn in Friday, Nov. 18.
Assigned Nov. 16
Sec. 8.2, problems 1, 4, 5, 7, 13 (first sentence).
Do not turn in.
Assigned Nov. 18
Sec. 3.7, problems 4, 8.
Do not turn in.
Assigned Nov. 21
Click here. Do not turn in.
Assigned Nov. 28
Sec. 9.2, problem 9. Sec. 9.3, problem 2.
Do not turn in.
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Last modified Mon Nov 28 2005
Send questions or comments to schecter@math.ncsu.edu