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Assignments

1. Section 1.2: 6, 7
   Due January 16, 2007

2. Section 1.3: 16, 17(c)
   Due January 16, 2007

3. Section 1.4: 19
   Due January 18, 2007

4. Section 1.6: 23
   Due January 18, 2007

5. Section 1.7: 27, 28
   Due January 23, 2007

6. Section 2.1: 2, 3, 5b
   Due January 23, 2007

7. Section 2.3: 6
   Due January 25, 2007

8. Section 2.4: 8, 13, 21
   Due January 25, 2007
   Hint: In this section, the terms of the sequences are always real.

9. Section 2.5: 26, 27, 28, 31, 32
   Due February 1, 2007
   

10. Section 2.5: 35
    Due February 6, 2007

11. Do the three problems in Handout 2.
    Due February 8, 2007

12. Section 2.6: 41, 42, 49a, and 49b
    Due February 8, 2007
    Note: In Problems 49a and 49b, assume that A is a real number.

13. Section 3.1: 1, 3, 4
    Due February 13, 2007

14. Section 3.2: 6, 7, 8
    Due February 20, 2007

15. Section 3.3: 13
    Due February 27, 2007

16. Section 3.4: 15
    Due March 6, 2007

17. Section 3.4: 17
    Due March 8, 2007

18. Section 3.5: 20, 24
    Due March 8, 2007

19. Section 3.5: 23
    Due March 20, 2007
    Note: Do not prove Proposition 22. Assume that a and b are real numbers.

20. Section 3.6: 30, 31
    Due March 22, 2007
    Note: For the yes/no questions in Problem 31, do not give a proof.

21. Section 3.5: 18
    Due April 3, 2007

22. On page 77, our textbook defines the Lebesgue integral of a simple function that vanishes off a set of finite measure. On page 81, our textbook defines the Lebesgue integral of a bounded measurable function that vanishes off a set of finite measure. Prove that the two definitions are consistent with each other.
    Due April 3, 2007

23. Section 4.3: 3, 4
    Due April 10, 2007

24. Section 4.3: 6, 7
    Due April 12, 2007

25. Section 4.3: 8
    Due April 17, 2007

26. Section 4.4: 10b, 12
    Due April 19, 2007

    Most recent assignments:

27. Section 4.4: 19
    Due April 24, 2007

28. Section 4.4: 14
    Due April 26, 2007

29. Section 5.5: 25, 28
    Due May 1, 2007
    Hint for Problem 28: Assume that both sides of the inequality are defined.

30. Section 6.1: 1, 2, 3, 4
    Due May 3, 2007

    ---- End of current assignments for Modern Analysis I ----
    

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Contact Person: Larry Peterson
E-mail: lawrence.peterson@und.nodak.edu
Phone: (701) 777-4609
Date of most recent update: April 24, 2007
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