Homework
Directions:
1. Do your own work.
2. Write out the problem.
3. Use only one side of the page.
4. One problem per page.
Due 01--09--2026
Page 10: 1 -- 7, 3.
(3751, 5851)
Due 01--09--2026
Page 10: 10, 12, 14, 15, 19, 21, 22, 23. (3751)
Page 10: 10, 13, 14, 15, 19, 21, 22, 23. (5851)
Due 01--14--2026
Page 15: 2, 6, 7, 11 16. (3751)
Page 15: 3, 6, 7, 11 20. (5851)
Due 01--20--2026
Page 22: 4, 8, 11. (3751)
Page 22: 5, 11 13. (5851)
Due 01--26--2026
Page 30: 2, 3, 4, 10, 19, 20. (3751)
Page 30: 2, 3, 8, 11, 19, 20. (5851)
Due 01--27--2026
Page 35: 2, 5, 6, 17. (3751)
Page 35: 3, 5, 7, 17. (5851)
Due 01--28-2026
Page 39: 1 -- 4, 6. (3751)
Page 39: 1 -- 4, 6. (5851)
Due 02--02--2026
1.
Prove that
every nonempty subset of
ℝ
that is bounded below has an infimum.
2.
In the proof of the existence of
y∈ℝ
such that
y2
=2,
show that
sup S
=
inf T.
Page 44: 1, 2, 3, 4. (3751)
Page 44: 1, 2, 4, 7 (Sup only). (5851)
Due 02--06--2026
Page 52: 2, 7, 8, 9. (3751)
Page 52: 3, 7, 8, 9. (5851)
Due 02--XX--2026
Page 61: 8, 9, 10, 11, 12. (3751)
Page 61: 8, 9, 10, 11, 12. (5851)