Math 155B, section 4 Fall 2011

Lectures MWF 11:10am - noon in SC-1206

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Instructor: Associate Professor Eric Schechter. (You may address me as "Dr. Schechter"; that's pronounced "doktur shektur.") Office: SC-1529 (in the top floor of the Math Building). Office hours: MWF 12:15-1:15pm without appointment; available at some other times by appointment. Office phone (when I'm there): 322-6651. Email: eric.schechter@vanderbilt.edu. Additional info at this link.

Recitation sections led by Mr. Kapitanov on Thursdays in room SC-1313
sec 5 at 8:10 (exams in room SC-1431)
sec 6 at 9:10 (exams in room SC-1432)

The undergraduate catalog's description of the course: Accelerated Single-Variable Calculus II. Differentiation and integration of transcendental functions, applications, methods of integration, coordinate geometry, polar coordinates, infinite series. Prerequisite: 155a. [4] (MNS (applies to Mathematics and Natural Sciences requirement))

Textbook: Stewart, Calculus, 6th edition, chapters 7-12.

Departmental syllabus: (link to PDF)

Answers to graded tests
Test 1, page 1 2 3 4
Test 2
Test 3
Test 4
Final exam


Additional study materials: Here is a link to some supplementary study resources for this semester.

In addition, here is a collection of review problems for the material from last semester. The problems are in two versions: "s" means with solutions, and "w" means without solutions, so try the w versions first. Many of these problems are quite difficult, so your instructor might not be able to solve them instantly. Can you solve them at all?


Common errors in undergraduate mathematics
Why Study Calculus - a brief history
Bartlett's lecture about exponential growth
Wikipedia's stories of exponential growth
Feedback loops and global warming
Long half-life of depleted uranium (causing rise in birth defects in "liberated" countries)
Kurzweil on the singularity (2029)

Tutored study halls are offered by the Math Department (starting August 29). The idea is that you sit in the classroom and study, and when you have a question you raise your hand, and the attending graduate student will come to your desk and try to help you. This semester the Math Department's tutored study halls will all be in room SC-1307. They're scheduled as follows:
Day Time (pm) Instructors
Mondays 4:30-6:30 Samuel Corson, Colin Klaus
Tuesdays 4:30-6:30 Corey Jones, Jiayi Jiang
Wednesdays 4:30-6:30 Yunxiang Ren, Michael Northington
Thursdays 5:10-7:00 Zhengwei Liu, Haidong Zhu

Some important dates:
* First day of classes: Wednesday, August 24th
* End of drop/add period: Tuesday, August 30st
* CLASSES MEET ON LABOR DAY
* Last day to switch calculus levels: Tuesday, September 6th
* Deficiency reports due: Wednesday, October 5th
* Fall Break (No classes): October 6th-7th
* Last day to drop a course: October 14th
* Sunday, November 6th, set your clock back an hour
* Thanksgiving Break (No classes): November 21st-25th
* Dead week begins: Friday, December 2nd
* Last day of classes: Thursday, December 8th

Final exam for this class is 7pm Thursday December 15. It is not on Saturday Dec 17, though some of the university's information may tell you otherwise.

Grades: I will not be giving any quizzes. Each of the four in-semester tests (Thursday evenings -- Sept 15, Oct 13, Nov 3, Dec 1) will count for 1/7 of your grade; the final exam (Thursday evening Dec 15) will count for 3/14 of your grade; and all your homework-for-credit will be another 3/14 of your grade. That's (1/7)+(1/7)+(1/7)+(1/7)+(3/14)+(3/14)=100%. There will be no makeups for missed work, but there may be a grade accomodation if you have a good reason. (For instance, if you're sick, do NOT come to take a test, but DO get a note from your doctor.) Grades will be posted on Oak/Blackboard , which can give you a better answer than I can to the question "how am I doing in this course?"

Homework-for-credit will be assigned during each class, and will be collected at the beginning of the next class. Here are my RULES regarding homework: It is to be done individually -- i.e., no team efforts. On the homework, you are permitted to use calculators, computers, web pages, your textbook, and any other books that seem relevant (but be cautioned that those resources won't be available during tests). You are NOT permitted to consult any live human beings, in working the assigned-for-credit problems, nor may you compare your answers with your classmates. However, you are permitted to consult other people -- your classmates, me, or anyone else -- in working other problems. For instance, problem 15 (not assigned for credit) might be very similar to problem 16 (assigned for credit); you're allowed to consult on problem 15. Do your homework in black or blue pen or pencil, but also bring a red pen or pencil to class, for reasons I'll explain later. You may write, print, or type, as you choose, but your work should be easy for the paper grader to read -- for most people that probably means print your work. Avoid ambiguities in your writing -- e.g., "d" should look different from "D", and the lower case letter t should have a tail to make it easily distinguishable from a plus sign.

Final Exam Study Guide

The final exam will consist of problems similar to some of the homework-for-credit problems (i.e., last column) that are listed in BOLDFACE. I will omit the topics (very few) that are in italics.

Lesson Date Sections Problems to study (not collected)Problems for credit
1 Wednesday, August 24 Intro, Review p.85: 13,15,21,23----p.107:16,17,18,33,41-----none
   p.161: 19,31,35,45,49----p.169: 15,17,29---p.241: 11,19,29,33,35 
   p.338: 13-29(odd), 35-43(odd),49----p.342:13,17,21,25,27 
2 Thursday, August 25 Recitation Session   
3 Friday, August 26 7.1 p. 391: 3-11(odd), 20b,23,25,27,31,33c,34c,35c10, 12, 24, 40
 Comment: Problem 40 is similar to 37, which I worked in class, but one example might not be enough. For an additional example of a similar problem, see page 390 Example 7.
4 Monday, August 29 7.2 p. 402: 7-17(odd), 23-49(odd),50,51,55, 73-82(all), 84 16, 28, 46, 54
5 Wednesday, August 31 7.3 p. 409:3-17(odd),25-34(all),37,38,45-59(odd),66,686, 12, 18, 34, 38, 50, 54
6 Thursday, September 1 Recitation Session   
7 Friday, September 2 7.4 p. 419: 3-17(odd), 16,21-33(odd), 37,41-53(odd),69-79(odd)26, 38, 42
8 Monday, September 5 7.5 p. 453: 3,4,8,9,10,13,19page 421 #72, 74
9 Wednesday, September 7 7.6 p. 461: 1-14(all), 19,23-33(odd),37,43,45, 59-69(odd) pg 453 #4, and pg 461 #6, 24, 46, 60
10 Thursday, September 8 Recitation Session   
11 Friday, September 9 7.7, 7.8 p. 468: 1-9(odd), 15,17,31-41(odd), 57,59,614, 36, 40, 58
   p. 478: 1-31(odd), 39-49(odd) 
12 Monday, September 12 7.8, Review p.478: 53-63(odd)page 479 # 18, 26, 42, 50, 64
13 Wednesday, September 14 8.1 p. 493: 3-31(odd), 35,47(due Monday) 4, 10, 20, 26
14 Thursday, September 15 Recitation Session   
 Thursday, September 15 -7pm Test 1   
15 Friday, September 16 NO CLASS   
16 Monday, September 19 8.2 p. 501: 3-31(odd), 37,39,432, 14, 28, 44
17 Wednesday, September 21 8.3 p. 508 1-17(odd), 18,21-26(all),28,29 12, 14, 16, 24
18 Thursday, September 22 Recitation Session   
19 Friday, September 23 8.4 p. 517: 1-7(all), 9,11,15-20(all)4, 12, 28
20 Monday, September 26 8.4, 8.5 p. 517: 21-49(odd)page 518 #42, 46, 48, 50
   p. 524: 1-23(odd), 29,33,39,41,45,49,56,57,61,63,69,73 
21 Wednesday, September 28 8.8 p. 551: 5-25(odd)(due Friday) 8.5.46; 8.5.50 (hint: use some trig identities); 8.8.24
22 Thursday, September 29 Recitation Session  (due Monday) 8.8.40, 8.8.50, 9.1.10, 9.1.12
23 Friday, September 30 8.8, 9.1 p. 551: 27-37(odd),49-54(all) 
24 Monday, October 3 9.1(cont.), 9.2 p. 566: 1-13(odd), 17 pg 573 #12, 14
   p. 573: 1-15(odd), 25 
25Wednesday, October 5 9.3 p. 583: 3-13(odd) 24, 32
26 Monday, October 10 9.3 (cont.) p. 583: 23-33(odd)due Wednesday: pg 585 #46 and pg 622 #6, 10, 12
27 Wednesday, October 12 10.3 p. 622: 3,5,7,13,15,17 
28 Thursday, October 13 Recitation Session   
 Thursday, October 13-7pm Test 2   
29Friday, October 14 NO CLASS   
30Monday, October 17 10.4, 12.1 p. 634: 3,7,9,15,17 
   p. 720: 1-45(odd),61pg 720 # 8, 10, 20, 24, 30, 32, 40
31 Wednesday, October 19 12.2 p. 730: 1-37(odd), 41-51(odd)18, 22, 32, [26 or 36]
32 Thursday, October 20 Recitation Session   
33 Friday, October 21 12.2  pg. 731 # 44, 50, 60
34 Monday, October 24 12.3 p. 739: 1-27(odd) pg 740 #12, 16, 22, 24 and pg 745 # 16, 20
35 Wednesday, October 26 12.4 p. 745: 1-31(odd) page 749 # 10, 14, 18, 20
36 Thursday, October 27 Recitation Session   
37 Friday, October 28 12.5 p. 749: 3-19(odd)p.755; 2,8,14,24
38 Monday, October 31 12.6 p. 755: 5-23(odd)pg 758 #8, 18, 28
39 Wednesday, November 2 12.7 p. 758: 1-37(odd) 
40 Thursday, November 3 Recitation Session   
 Thursday, November 3 -- 7pm Test 3   
41 Friday, November 4 NO CLASS   
42 Monday, November 7 12.8 p. 763: 1-29(odd)4, 18
43 Wednesday, November 9 12.9 p. 769: 3-17(odd), 234, 8
44 Thursday, November 10 Recitation Session   
45 Friday, November 11 12.10 p. 782: 5,9,13,15,17,27,33,35,49,57,59,6314, 34
46Monday, November 14 11.1 p. 662: 3,4,7,9,13,15,17,21,24,33page 662 #12 and page 783 # 28, 50
47 Wednesday, November 16 11.2 p. 672: 1-19 (odd),25,29,31,37,39,41,58,59 pg 664 #38 and pg 672 #14, 34
48 Thursday, November 17 Recitation Session   
49 Friday, November 18 11.3 p. 683: 1-21(odd),25,29-47(odd), 59,6330, 36, 38
50 Monday, November 28 11.4 p. 689: 3-13(odd),19-33(odd), 41,45,4712, 38
51 Wednesday, November 29 11.5 p. 696: 1-23(odd),27,29,33,35,37,41-47(odd) 
52 Thursday, December 1 Recitation Session   
  Thursday, December 1 Test 4   
53 Friday, December 2 NO CLASS   
54 Monday, December 5 11.6 p. 704: 1-15(odd) 
55 Wednesday, December 7 Review for final   
56 Thursday, December 8 Review for final   
 Thursday, December 15- 7pm Final Exam