University of Massachusetts Amherst
Department of Mathematics and Statistics

COURSE DESCRIPTION: Math 132—Calculus II—Spring 2009

This covers the essential information for all sections of Math 132. More complete and timely information appears on the course web site www.math.umass.edu/Courses/Math_132. Your section’s instructor will provide additional information  applicable just to that section.

Description Math 132 is the second course in the three-semester sequence 131-132-233 covering standard material on  calculus. These courses are more sophisticated and move much faster than many high school calculus courses. The emphasis is on basic concepts, methods, and applications suitable for majors in engineering, natural sciences, computer science, mathematics, etc. Prospective math majors or others needing an enriched treatment should consider Math 132H instead .

Math 132 deals with single-variable integral calculus; infinite sequences and series; and parametric equations and polar coordinates. The central concepts are net change, as realized by the mathematical notion of definite integral, and approximating functions by polynomials.

Prerequisites  You should have successfully completed Math 131 (Calculus I), or the equivalent, including an introduction to Riemann sums and the definite integral. Math 132 demands stronger algebraic skills than 131.

Required text  Stewart, Calculus: Early Transcendentals Vol 1 University of Massachusetts Amherst, Sixth Edition, Thompson Brooks/Cole, 2007. Paperback. This relatively inexpensive edition is customized for UMass. It is essential that you use the Sixth Edition—the same text as for Math 131. This is available at the campus Textbook Annex at $40 used, $91 new.

All lecture sections also require the WebAssign on-line system for homework, to which you must purchase access. The access code you used for Math 131 will not work for 132, so you will need a new one. If you bought the textbook+WebAssign bundle for Math 131 that included two WebAssign coupons, then you’re all set. Otherwise, you must buy a new coupon from the Textbook Annex for $38 or else buy access on-line at webassign.net for $35. You must enter your access code into WebAssign no later than February 10.

Calculator  The TI-89 Titanium is recommended. It will do symbolic manipulations common in calculus and help with certain paper-and-pencil calculations. You may use your calculator on all exams except Exam 2.

Requirements

  • take three mid-semester exams scheduled 7:00–8:30 p.m. on Thursday, February 19,  Thursday, March 26, and Thursday, April 23.
  • take the two-hour final exam, covering the entire semester’s work, at the officially scheduled time
  • as prescribed by your section’s instructor, take any quizzes, hand in any written work, etc.
  • do the WebAssign homework assignments
  • attend class regularly and do all assigned homework

For all exams except Exam 2, you may use a “cheat sheet”—one piece of paper no larger than 8.5" by 11" with whatever information you desire—along with whatever information you may store in your calculator. Otherwise, exams are “closed-book”.

Students needing special exam accommodation must present documentation from Disability Services to their instructor no later than two weeks before the exam.

Grading  For your total score, each of the three mid-semester exams counts 20%, the final exam counts 24%, and  the remaining 16% is assigned by your instructor based upon work such as homework and quizzes, etc. If your total score wold be higher, then your final exam will count 30% and each of Exams 1, 2, and 3 will count only 18%.  The course letter-grade scale is:

A

A-

B+

B

B-

C+

C

C-

D+

D

F

86–100

82–85

78–81

75–77

72–74

68–71

62–67

59–61

55–58

50–54

0–50

Weekly schedule  The following sections of the text should be covered during the indicated weeks. For details about coverage, see the Syllabus page in the About section of the course web site.

Week

MWF lectures

TuTh lectures

Events

Jan. 26

5.2 review;
5.3–5.4 (start)

5.2 review,
5.3–5.4 (start)

First lecture Mon/Tues

Feb. 2

5.4 (end)–5.5, 6.1

5.4 (end)–5.5, 6.1–6.2 (start)

 

Feb. 9

6.2, 7.1

6.2 (end), 7.1–7.2 (start)

Last day to drop: Mon Feb 9

Feb. 16

Review, 7.2 (start)

7.2 (end), review

Holiday Mon
Exam 1 Thurs Feb 19

Feb. 23

7.2 (end)–7.4, 7.7 (start)

7.3–7.4

 

March 2

7.7 (end)–7.8 (start)

7.7–7.8

 

March 9

7.8 (end), 11.1

11.1–11.2 (start)

 

March 16

Vacation

Vacation

Vacation

March 23

11.2, review

Review, 11.2 (end)

Last day for W: Tues Mar 24
Exam 2 Thurs March 26

March 30

11.3–11.4

11.3–11.5 (start)

 

April 6

11.5 –11.8 [11.7 is review]

11.5 (end)–11.8 [11.7 is review]

 

April 13

11.9–11.10

11.9–11.10

 

April 20

11.11, review, 10.1

11.11, review

Holiday Mon; Tues = Mon
Exam 3 Thurs April 23

April 27

10.2–10.3 (start)

10.1–10.2

 

May 4

10.3 (end)–10.4

10.3–10.4

 

May 11

Review

Review

Last class day Mon/Tues
Finals start Thurs

May 18

Finals end Thursday, May 21

Finals end Thursday, May 21

 

Homework problems  WebAssign homework assignments consist of problems equivalent to the ones from the text; see the list below. Most WebAssign problems are “parameterized”, so that different students get different versions of the problem. Exams will be constructed under the assumption that you have done these assignments. Your instructor may assign additional homework

Due dates for homework assignments will be announced by your instructor and listed in WebAssign.

Logging in to WebAssign at http://webassign.net/  On the log-in page, give your…

  • Username: your UMass Student ID number
  • Institution: umass
  • Password: initially, your UMass Student ID number (change it as soon as possible, and make it something you'll remember but others won't be able to figure out!)

Two weeks after the semester’s start, you will need to enter your WebAssign access code when you log in. You get this access code when you buy the textbook + WebAssign package. You may also buy a separate access coupon from the Textbook Annex or buy on access code on-line from the WebAssign site.

Here is a list of the textbooks’ problems corresponding to the WebAssign problems. Problems marked * below are ones for which equivalent problems have been substituted in WebAssign.

Section

Problems  

5.2

4, 36, 17, 48, 49, 55, 70

5.3

3, 9, 12, 13, 18, 19, 22, 24, 26, 29, 35, 37, 40, 41, 47, 50

5.4

2, 7, 11, 12, 14, 18, 25, 26, 29, 37, 47, 48, 58

5.5

2, 5, 11, 16, 19, 24, 28, 42, 53, 58, 66, 69, 73, 77

6.1

2*, 5, 6, 7, 8, 17, 20, 23, 28

6.2

3, 6, 7, 10, 14, 21, 49, 58

7.1

1, 3, 9, 10, 15, 18, 20, 23, 30, 34, 48, 51

7.2

2, 3, 8, 13, 26, 29, 35, 41, 46, 62, 65

7.3

1, 4, 6, 9, 11, 12, 15, 20, 23, 24, 31(a), 38

7.4

1(a), 4(a), 7, 10, 11, 12, 16, 32, 41, 52

7.5

2, 4, 9, 12, 33, 36, 59, 69

7.7

3, 10, 15, 16, 38

7.8

2, 5, 6, 21, 28, 30, 33, 37, 43, 44, 49, 50, 63

8.5*

section deleted from syllabus this semester

11.1

4, 5, 9, 12, 19, 20, 21, 25, 36, 40, 55, 59, 60, 62

11.2

3, 9, 13, 18, 22, 26, 28, 37, 41, 44, 49, 50, 55

11.3

3, 6, 7, 9, 12, 20, 21, 33, 34, 36

11.4

5, 8, 9, 14, 18, 23, 24, 29, 34, 35, 37

11.5

3, 7, 8, 10, 11, 14, 24, 25

11.6

3, 4, 8, 10, 13, 17, 21, 22, 33

11.7

1, 3, 6, 7, 8, 17, 18, 20

11.8

7, 12, 14, 15, 16, 17, 23, 30

11.9

3, 6, 8, 13, 14, 15, 16, 27, 28, 30, 35

11.10

5, 6, 17, 20, 25, 32, 34, 43, 44, 48, 53, 54

11.11

15 (a)–(b), 16 (a)–(b), 20 (a)–(b), 25, 26, 28, 29

10.1

9, 10, 11, 12, 15, 24, 33, 46 (a) & (c)

10.2

4, 17, 20, 42, 43, 51, 52; and
Sec. 8.1*, page 530  # 7 and 10 by methods of sec. 10.2.

10.3

4 (a)-(b), 5 (a)-(b), 9, 10, 16, 17, 21, 37, 38, 50, 57, 62

10.4

3, 7, 11, 18, 23, 47, 48; also  find the length of the entire polar curve spiralarc

Exam make-up policy  If another officially scheduled exam conflicts with a Math 132 exam, or in certain other circumstances, you may qualify to take a make-up exam at roughly the same time but the evening before the scheduled exam. No make-ups will be given just to accommodate travel plans.

If you have a mid-semester exam in another course at the same time as the Math 132 exam, and if the final digit(s) of the 5-digit class number for your Math 132 section is higher than the final digit(s) of the 5-digit class number for the other course, you are entitled to a make-up exam in Math 132.  You are also entitled to one if you are away on an official off-campus trip. In either case, no later than two weeks before the exam give your instructor a written request that includes: your name and ID number; your section number and instructor’s name; and the reason for requesting the make-up exam.

In the case of a conflicting exam, attach written confirmation from the instructor of the other course; in the case of an official off-campus trip, attach written explanation by the relevant campus official for the necessity of your absence. In the case of absence due to religious observance (see below), ask your instructor to add confirmation that you provided the specified notification at the beginning of the semester.

If this documentation is in order and submitted in time, your instructor will notify the Course Chair, who in turn will notify you directly by e-mail of the scheduled make-up exam’s location.

If you have a class scheduled during the time of a Math 132 exam, you are ordinarily not entitled to a make-up exam in 132. Rather, the instructor of the other course is supposed to excuse you from class and to make provision for make-up work there, if necessary.

In case of an emergency, medical problem, or other unusual circumstances that prevent you from taking a scheduled exam, contact your instructor, who will evaluate the reasons and determine whether and how to allow you to compensate for the absence.

In case of a medical emergency, submit a statement from a medical professional.   While it is your right not to disclose any details, the medical professional’s statement must indicate that you were medically incapable of taking the scheduled exam.  If advance notice is possible and not given, your instructor may refuse your request.

If an emergency forces you to leave campus, it is best to notify the Dean of Students (545-2684), who will verify the details and notify the instructors of all affected courses.

Final exam conflicts  The last regular day of final exams is Thursday, May 21. Make your travel plans accordingly! There are standard procedures to handle any official final exam conflict. Provide written confirmation of the conflict from the Registrar’s Office.

If an emergency or medical problem prevents you from taking the final exam, contact your instructor and request an Incomplete. Otherwise, you may receive a course grade of F.

Contact your instructor about unexpected absence  To give prior notice of an unexpected absence from an exam or other class activity, you may:

  • see your instructor at a class meeting; or
  • go to your instructor’s office hours; or
  • phone or e-mail your instructor (contact information is on the Office Hours page at the Mathematics and Statistics Department web site www.math.umass.edu); or
  • leave a message in your instructor’s mailbox in LGRT 1623D; or
  • phone the Mathematics and Statistics Department at 545-2762 or, when there is no answer outside business hours, leave voice mail at the department number 545-4499; or
  • use one of the methods above to contact your TA.

If due to the nature of the emergency you yourself are unable to make contact by one of these methods, ask a friend or family member to do it for you.

Your instructor will make the final determination as to validity of the reason for missing work, as well as how you should make up the work.

Religious observance  If you will be absent from an exam or other Math 132 class activity because of religious observance, you must notify your instructor in writing, in advance of the absence, and at the beginning of the semester—within one full week of your enrollment in the course.

Help resources  A new Calculus Tutoring Center in LGRT 110, staffed by faculty and TAs,  will be open Monday-Thursday, 10:00 a.m.-3:00 p.m., beginning Monday, February 2. See the course web site about additional help and tutoring resources.

Drops, Withdrawals, and Incompletes The last day to drop with no record, or to submit a Pass/Fail option, is Monday, February 9. If you intend to drop, please do so as soon as possible; others may be waiting to enroll in your section. The last day to drop with a W is the mid-semester date, Tuesday, March 24.

Copyright notice  Many of the materials created for this course are the intellectual property of the instructors. These include, but are not limited to, the syllabus, lectures, printed handouts, and materials on the course web site and section web sites whose intellectual ownership is not otherwise indicated. Except to the extent not protected by copyright law, any use, distribution, or sale of such materials  in any format—printed or electronic—requires the permission of the instructor. It is a violation of University policy to reproduce, for distribution or sale, class lectures or class notes, unless copyright has been explicitly waived by the faculty member.

Course chair  Prof. Murray Eisenberg, murray@math.umass.edu, LGRT 1335G, phone 545-2859.