1. 5.4 Upper Sums and Lower Sums Part I
MAT 3751 Analysis II
5.4
Upper Sums and Lower Sums Part I

2. References
Bloch 5.4

3. Individual HW Individual HW due this Friday. It is less than 6 points.
Pretending this is a take home exam question. I want you to get use to the idea of doing problems alone.
You need to be ready by the end of the quarter.

4. Refinement

5. Example 1

6. Lemma (HW)

7. Lemma (Example 1)

8. Upper and Lower Sums

9. Questions

10. Questions

11. Example 2

12. Example 3

13. Example 4

14. Lemma 5.4.6

15. 1. Analysis

16. 1. Proof