| # | Date | Topics | Homework |
|---|---|---|---|
| 0 | 01/30 (Tu) | Introduction. Definite integral. The fundamental theorem of calculus. | Reading: Ch. 3 |
| 1 | 02/01 (Th) | Antiderivatives. Notion and formulas for simplest functions. | Reading: Sec. 6.2
Assignment #1: Sec.6.2, page 302: 4,9,12,18,27,38,54. Due Th. Feb. 8 |
| 2 | 02/06 (Tu) | Simple differential equations. | Reading: Sec. 6.3
Assignment #2: Sec.6.3, page 307: 2,3,5,6,10. Due Tu. Feb. 13 |
| 3 | 02/08 (Th) | Second Fundamental Theorem of Calculus. Definite integrals with a variable as the upper limit. | Reading: Sec. 6.4
Assignment #3: page 312: 8,9,11,14,17. Due Th. Feb. 15 |
| 4 | 02/13 (Tu) | Integration by substitution. | Reading: Sec. 7.1
Assignment #4: page 326: 11,15,16,26,33. Due Tu. Feb. 20 |
| 5 | 02/15 (Th) | Computing definite integrals by substitution. | Reading: Sec. 7.2
Assignment #5: page 331: 2,4,8,15,23. Due Th. Feb. 22 |
| 02/20 (Tu) | QUIZ #1 | ||
| 6 | 02/22 (Th) | Integration by parts. | Reading: Sec. 7.3
Assignment #6: page 337: 2,3,4,5,6,7,8,9,10,12,14,15,17,
19,21,27,28,30,31,32 Due Th. Mar. 1 |
| 7 | 02/27 (Tu) | Practice on integration. | Reading: Sec. 7.4
Assignment #7: page 343: 1,2,3,4,7,9,10,11,12 Due Tu. Mar. 6 |
| 8 | 03/01 (Th) | Practice on integration. | Reading: Sec. 7.4
Assignment #8: page 343: 15,18,19,25,28,29 Due Th. Mar. 8 |
| 03/06 (Tu) | Snow day | ||
| 9 | 03/08 (Th) | Approximations of definite integrals. | Reading: Sec. 7.5
Assignment #9: page 348: 1,2,4,5 (use n=8 instead
n=32) Due Th. Mar. 15 |
| 03/09 (Fr) | Review for TEST #1 (Integration. Chapter 7) | ||
| 03/13 (Tu) | |||
| 10 | 03/29 (Th) | Applications of integrals to geometry. | Reading: Sec. 8.1
Assignment #10: page 382: 3,7,8,19,20 Due Th. Apr. 5 |
| 11 | 04/03 (Tu) | Applications of integrals to geometry. (Continuation.) | No Homework! |
| 12 | 04/05 (Th) | Applications: Density. Mass. Center of mass. | Reading: Sec. 8.2
Assignment #11: page 388: 1(b), 1(c): Find the center of
mass of the rod., 2(c), 3(b), 11 Due Th. Apr. 12 |
| 13 | 04/10 (Tu) | Quadratic Taylor polynomials. | No Homework! |
| 14 | 04/12 (Th) | Taylor polynomials. Taylor series. | Reading: Sec. 9.1
Assignment #12: page 434: 3, 8, 11, 14, 31 Due Th. Apr. 19 |
| 15 | 04/17 (Tu) | Convergency. The Ratio test. | Reading: Sec. 9.2
Assignment #13: page 444: 16, 19, 27, 29, 31 Due Tu. Apr. 24 |
| 16 | 04/19 (Th) | Finding and using Taylor series. | Reading: Sec. 9.3
Assignment #14: page 448: 2, 5, 7, 10, 14 Due Th. Apr. 26 |