Dear class:

Here are the HW's for this week.

You can skip section 5.1.

4.6: 25, 26, 28, 30
5.2: 34, 36, 46, 48
     Additional: 

Here I use           \sum_{k=1}^n

to mean              n
                    ___
                    \     
                    /
                    ---
                    k=1 

Problems:
       (1) \sum_{k=1}^n   1 = ?
       (2) \sum_{k=1}^n   n = ?
       (3) we know from class that 
           \sum_{k=1}^n   k^3 = (1/4) n^4 + O(n^3)
           repeat the procedure in class to calulate the  O(n^3) exactly.
5.3: 2, 35, 36, 40, 45
5.4: 6, 12, 14, 20, 56, 66, 70, 74

Optional: It is easy to see that the 
            definite integral of sin(x) from 0 to pi(3.14159...) is 
            cos(0) - cos(pi) = 2
          According to the definition on page 287, formula (10)
          Can you find a \delta with \epsilon = 0.01?
          (Hint: section 4.6, problem 26)