V63.0122.003
Calculus 2
Fall 2001

### Announcements

• 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

### Homework Assignments

All homework problems are in the textbook unless otherwise noted.

Only the even numbered problems on each assignment will be graded. The odd numbered problems are intended as extra practice and you are strongly encouraged to do them, but you will not be penalized if you don't hand them in.
• 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

### General Information

Instructor: Chris Wendl 720 Warren Weaver Hall (Courant Institute Building) 212-998-3216 wendlc@cims.nyu.edu 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. Monday and Wednesday 2-3:50PM in 710 Main Calculus (early transcendentals), Fourth Edition, by James Stewart (Brooks/Cole 1999); available in NYU bookstore 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. Homework and Quizzes (40%) Two Midterms (15% each) Final Exam (30%) See http://www.math.nyu.edu/~wendlc/calc2 for general information and periodic announcements about the class, including homework and exams.

### Tentative Syllabus

• 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.
Please note: this schedule is only approximate and may change as the need arises.