Calculus 2

Fall 2001

Announcements Downloadables Homework Assignments General Information Tentative Syllabus

- The class is
**over**. This page remains here for archival purposes. **Review problems**for the final -- most of these are the same problems that were assigned before the first two midterms, but some problems from chapter 10 and some extra true/false questions have been added:- Exercises
- Chapter 6 (Pp. 463-463): #1-16, 30-32
- Chapter 7 (Pp. 534-536): #1-15, 19, 22, 26-29, 33, 35-40, 45, 72, 73, 75, 76
- Chapter 8 (Pp. 576-577): #1, 4, 19, 21
- Chapter 9 (Pp. 635-636): #5, 9, 10, 15-17
- Chapter 10 (Pp. 688-689): #1-4, 6, 9, 17, 18, 25, 27, 33-38
- Chapter 11 (Pp. 776-777): #1-8, 11-14, 17, 18, 21, 27, 28, 38-41, 45, 47-50, 53
- True/False Questions
- Chapter 7 (P. 534): #1, 2, 5-7, 10
- Chapter 9 (P. 635): #1, 2
- Chapter 11 (P. 776): #1, 7-11, 14, 15

- Solutions to Homework 11 (12/12/01)
- Solutions to Midterm 2 (12/6/01)
- Notes on convergence of power series (11/27/01)
- Midterm 1 (10/24/01)

**Homework 1, due 9/12:**P. 175 #1, 41; P.268 #1, 3, 5, 7, 85; P. 360 #1; P. 389 #29, P. 427 #9, 15, 23, 27, 31, 45, 47**Homework 2, due 9/26:**P. 438 #3, 4, 9, 10, 24; P. 448 #2, 3, 5, 6, 10, 16; P. 454 #3, 6, 15, 18, 36, 40; P. 462 #3, 4, 14**Homework 3, due 10/3:**P. 474 #7, 10, 17, 22, 23, 26, 38, 54; P. 482 #3, 4, 5, 9, 33, 34, 63, 64, 65**Homework 4, due 10/10:**P. 488 #1, 2, 5, 6, 10, 15, 20, 27, 28, 29, 30, 33**Homework 5, due 10/17:**P. 498 #17, 20, 43, 46; P. 504 #18, 25, 39, 45; P. 510 #7, 10, 18; P. 531 #2, 7, 8, 13, 15, 27, 36, 40. Please note: you may use the tables in the back of the book for the problems on P. 510, but not for the others.**Homework 6, due 10/31:**P. 574 #3, 6 (hint: assume*P(t) = e^(-ct)*for some constant*c*); P. 546 #3, 12, 13, 14, 16, 17**Homework 7, due 11/7:**P. 552 #5,6,16,17,18; P. 585 #3, 4, 5, 9, 10; P. 600 #5, 10, 13, 14; P. 610 #3, 10**Homework 8, due 11/14:**P. 702 #17, 18, 19, 29, 34; P. 711 #11, 12, 21, 23, 26, 27, 28**Homework 9, due 11/26:**P. 720 #5, 6, 7, 13, 22; P. 725 #4, 5, 6, 7, 10; P. 736 #2, 3, 4, 7, 9; P. 744 #3, 4, 7, 10, 13; P. 760 #9, 10, 12, 13**Homework 10, due 12/5:**P. 760 #14, 37, 38, 39, 40; P. 773 #29**Homework 11, due 12/12 in my office or mailbox:**P.645 #9, 10, 11, 12; P. 653 #19, 20; P. 659 #5, 6, 10, 23, 24; P. 669 #37, 45; P. 674 #7, 8, 9, 45, 48

Instructor: | Chris Wendl |
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Office: | 720 Warren Weaver Hall (Courant Institute Building) |

Phone: | 212-998-3216 |

E-mail: | wendlc@cims.nyu.edu |

Office hours: | Monday 4-5PM and Wednesday 12-1PM. If you're not available for office hours but need help, feel free to contact me (the easiest way is by e-mail) and make an appointment. You may also stop by my office anytime, but be aware that I'm often not there; it's best to call ahead. |

Lectures: | Monday and Wednesday 2-3:50PM in 710 Main |

Text: | Calculus (early transcendentals), Fourth Edition, by James Stewart (Brooks/Cole 1999); available in NYU bookstore |

Homework: | Problems will be assigned and collected in class on Wednesdays; you'll have a week for each assignment. We will generally set aside the second half of each Wednesday lecture to review homework. Late homework will be accepted up to a week after the due date, but only for half credit. This is not meant as a punitive measure, but rather as an incentive: it's very important to keep up with the homework in this class. |

Grading: | Homework and Quizzes (40%) Two Midterms (15% each) Final Exam (30%) |

Web page: | See http://www.math.nyu.edu/~wendlc/calc2 for general information and periodic announcements about the class, including homework and exams. |

**Week 1:**The definite integral: areas and volumes. Sections 6.1-2.**Week 2:**Volumes and other applications. Sections 6.3, 6.4, 6.5.**Week 3:**Integration by parts, trigonometric integrals. Sections 7.1-2.**Week 4:**Trigonometric substitution, miscellaneous techniques. Sections 7.3-5.**Week 5:**Use of tables, numerical integration, improper integral. Sections 7.6-8.**Week 6:**Applications: differential equations, arc length, surface area. Sections 8.1-3.**Week 7:**Further applications. Sections 8.4-8.5.**Week 8:**Series: integral approximations, comparison tests. Sections 11.1-4.**Week 9:**Alternating series, ratio test. Sections 11.5-11.7.**Week 10:**Power Series. Sections 11.8-11.9.**Week 11:**Taylor Series and Taylor polynomials. Sections 11.10-12.**Week 12:**Polar coordinates, parametric equations. Sections 10.1-10.5.**Week 13:**Conic sections and polar coordinates. Sections 10.6-10.7.**Week 14:**Review.