| Syllabus for Calculus II | Spring semester, 2003 | last revised: 12/20/2002 | |||||||
| text: Stewart, Calculus: Concepts and Contexts, 2nd edition | |||||||||
| dates | text coverage | suggested homework | extra resources available | ||||||
| week | day | ch | sect | topics | pg | problems | Java | Maple | calculator |
| 1 | 1/6-1/10 | ||||||||
| 1 | 5 | 2 | Definite integrals | 367 | 1, 5, 6, 8, 11, 18, 20, 30 | ||||
| 2 | 5 | 9 | Approximate integration | 425 | 1, 2, 7, 12 | C2M3 | |||
| 3 | 5 | 9 | Approximate integration | 426 | 23, 24, 25, 26, 27 | ||||
| 2 | 1/13-1/17 | ||||||||
| 1 | 5 | 10 | Improper integrals | 436 | 1, 5, 6, 11, 14, 23, 47, 49 | C2M4 | |||
| 2 | 6 | 1 | Areas | 452 | 1, 2, 4, 21, 22, 23 | deck area | |||
| 3 | 6 | 2 | Volumes | 463 | 1, 2, 11, 17, 20, 22 | ||||
| 4 | 6 | 2 | Volumes | 464 | 23, 24, 28, 30, 40, 46 | wing volume | |||
| 3 | 1/20-1/24 | ||||||||
| 1 | 6 | 3 | Arc length | 471 | 5, 6, 12, 20 | ||||
| 6 | 4 | Average value | 475 | 1, 11, 12 | |||||
| 2 | App | H | Polar coordinates | A66 | 1, 3, 40 | C2M6 | |||
| A72 | 1, 5, 8 | ||||||||
| 3 | App | H | Polar coordinates | A72 | 10, 15, 19, 21, 23 | ||||
| 4 | 1/27-1/31 | ||||||||
| 1 | Review | ||||||||
| 2 | Exam | ||||||||
| dates | text coverage | suggested homework | extra resources available | ||||||
| week | day | ch | sect | topics | pg | problems | Java | Maple | calculator |
| 4 | 1/27-1/31 | ||||||||
| 3 | 6 | 5 | Applications | 485 | 3, 4, 5, 6, | ||||
| 4 | 6 | 5 | Applications | 485 | 1, 7, 8, 9, 10 | ||||
| 5 | 2/3-2/7 | ||||||||
| 1 | 6 | 5 | Applications | 485 | 11, 12, 13, 14, 17, 18 | ||||
| 2 | 6 | 5 | Applications | 486 | 19, 20, 21, 22, 24 | ||||
| 3 | 6 | 5 | Applications | 486 | 27, 28, 29, 30, 32, 34 | ||||
| 4 | 5 | 3 | Fundamental Theorem | 377 | 6, 7, 9, 13, 28, 31 | ||||
| 6 | 2/10-2/14 | ||||||||
| 1 | 5 | 3 | Fundamental Theorem | 378 | 49, 50, 52, 54, 55 | ||||
| 5 | 4 | Fundamental Theorem | 386 | 2, 4 | |||||
| 2 | 5 | 4 | Fundamental Theorem | 386 | 5, 10, 12, 15, 19 | ||||
| 3 | 5 | 5 | Substitution | 395 | 7, 10, 16, 34, 36, 43, 51 | C2M1 | |||
| 4 | 5 | 5 | Substitution | 396 | 57, 58, 61, 62, 65 | ||||
| 7 | 2/17-2/21 | ||||||||
| 1 | 5 | 6 | Integration by parts | 401 | 3, 4, 7, 15, 22, 24 | ||||
| 2 | 5 | 6 | Integration by parts | 401 | 37, 39, 41, 42, 43 | ||||
| 3 | Review | ||||||||
| 8 | 2/24-2/28 | ||||||||
| 1 | Exam | ||||||||
| dates | text coverage | suggested homework | extra resources available | ||||||
| week | day | ch | sect | topics | pg | problems | Java | Maple | calculator |
| 8 | 2/24-2/28 | ||||||||
| 2 | 7 | 1 | Differential equations | 511 | 1, 2, 5, 8, 10 | ||||
| 3 | Notes | Electric circuits | Notes | 1, 2, 3, 5, 7, 8, 9, 10 | |||||
| 4 | 7 | 2 | Direction fields | 519 | 1, 2, 3, 4, 5, 6 | C2M8 | degraph | ||
| 9 | 3/3-3/7 | ||||||||
| 1 | 7 | 2 | Euler's method | 520 | 19, 20, 21, 22 | euler | |||
| 2 | 7 | 2 | Euler's method | 520 | 23, 24 | ||||
| 7 | 3 | Separation of variables | 527 | 1, 3, 4 | C2M7 | desolve | |||
| 3 | 7 | 3 | Separation of variables | 528 | 13, 15, 16, 32, 35, 36 | ||||
| 4 | 7 | 4 | Exponential growth/decay | 538 | 4, 8, 9, 10, 11, 13, 14 | C2M9 | |||
| (spring break) | |||||||||
| 10 | 3/17-3/21 | ||||||||
| 1 | Notes | Electric circuits | Notes | 13, 14, 15, 16, 17 | |||||
| 2 | Notes | Electric circuits | Notes | 18, 19, 20, 21, 22, | |||||
| 3 | Review | ||||||||
| 4 | Exam | ||||||||
| dates | text coverage | suggested homework | extra resources available | ||||||
| week | day | ch | sect | topics | pg | problems | Java | Maple | calculator |
| 11 | 3/24-3/28 | ||||||||
| 1 | 8 | 1 | Sequences | 571 | 5, 9, 12 | C2M10 | |||
| 8 | 2 | Series | 580 | 2, 8, 13, 16, 25, 30, 42 | |||||
| 2 | 8 | 4 | Ratio test | 599 | 19, 20, 21, 22, 28, 31 | C2M11 | |||
| 3 | 8 | 5 | Power series | 604 | 3*, 6*, 7*, 10*, 12*, 15*, 19, 20 | C2M12 | |||
| 4 | 8 | 6 | Representing functions | 610 | 3, 4, 25, 28, 30 | ||||
| 12 | 3/31-4/4 | * open interval of converge only | |||||||
| 1 | 8 | 7 | Taylor series | 621 | 2, 4, 5, 9, 13, 17, 21, 35, 39, 41 | C2M13 | taylor | ||
| 2 | 8 | 9 | Applications | 633 | 3, 7, 10, 13a, 15a, 23 | C2M14 | |||
| 3 | Review | ||||||||
| 4 | 9 | 1 | 3D coordinates | 651 | 5, 7, 8, 10, 16, 26, 33 | C3M1 | |||
| 13 | 4/7-4/11 | ||||||||
| 1 | 9 | 2 | Vectors | 659 | 4, 6, 17, 18, 19, 20 | vsolve | |||
| 2 | 9 | 2 | Vectors | 660 | 23, 24, 25, 26, 27, 28 | ||||
| 3 | 9 | 3 | Dot products | 666 | 1, 6, 8, 9, 15, 17, 19 | C2M15 | |||
| 4 | 9 | 3 | Dot products | 666 | 21, 24, 29, 35, 36 | ||||
| 14 | 4/14-4/18 | ||||||||
| 1 | 9 | 4 | Cross products | 674 | 1, 2, 5, 9, 11, 16, 17 | wrench | |||
| 2 | Review | ||||||||
| 3 | Exam | ||||||||
| dates | text coverage | suggested homework | extra resources available | ||||||
| week | day | ch | sect | topics | pg | problems | Java | Maple | calculator |
| 14 | 4/14-4/18 | ||||||||
| 4 | 9 | 5 | Lines and planes | 683 | 1, 2, 4, 6, 8, 10 | C2M16 | |||
| 15 | 4/21-4/25 | ||||||||
| 1 | 9 | 5 | Lines and planes | 683 | 5, 12, 15, 17, 18 | ||||
| 2 | 9 | 5 | Lines and planes | 684 | 19, 21, 22, 23, 25, 29, 34 | ||||
| 3 | 9 | 5 | Lines and planes | 684 | 35, 36, 41, 45, 47 | ||||
| 4 | Course Review | ||||||||
| 16 | 4/28-5/5 | ||||||||
| 1 | Course Review | ||||||||