| Assignment | Due date | Problems |
|---|---|---|
| 1 | January 30 | 4.6: 30, 36 4.7: 26abc, 30 |
| 2 | February 6 | 5.2: 24, Exploratory Exercise 2 (for the circle) 5.3: 16, 22 5.4: 9, 29 |
| 3 | February 20 |
6.2: 28, 40, 60 (use integration by parts) 6.3: 12, 16, 26, 33 |
| 4 | February 27 |
Find the integral of (x2+4x+8)3/2. 6.4: 18, 30, 36 3.2: 24, 31, 38 |
| 5 | March 6 | 6.6: 30, 37 (for the integral of xecx) 7.1: 20, 32 |
| 6 | March 20 | 7.2: 20, 30 7.3: 6, 18 |
| 7 | March 27 | 7.4: 18, 26 8.1: 22, 32, 46 |
| 8 | April 3 |
Use the formal definition of limit to prove the sequence {6n/(2n+4)} converges to 3. Prove the Squeeze Theorem for sequences: If an < bn < cn and the sequences {an} and {cn} both converge to L, then {bn} also converges to L. |
| 9 | April 10 | 8.2: 6, 10, 42 8.3: 28, 41 Define the continued fraction 1/(1+1/(1+1/(1+ . . . ))) as a limit of a sequence of fractions where each term in the sequence involves a finite number of divisions. |
| 10 | April 17 | 8.4: 10, 34 8.5: 28, 36, 41 |
| 11 | April 27 | 8.6: 6, 12, 32 8.7: 12, 22, 26, 32 8.8: 10, 14, 34 |