Math 20B Calculus & Analytic Geometry for Science and Engineering Fall 2004 ___________________________________________________________________________________

Announcements

01.04.04
If you have any questions about your final grade or final exam, or want to pick up your final exam, i should be here most of the week. you can email me first to make sure i will be here at a given time. There are still candy bars waiting for high scorers.
01.03.04
No joke, I have 6 candy bars for those that got perfect scores on the final exam. I am talking about hefty exotic dark chocolates from trader joe's. I should be in most days this week after 10 am.
12.10.04
The exams have been scored and entered. I will be submitting the grades soon. You can drop by my office on Friday to pick up your exam, or you can wait until January. Scores were good; the average was about 77%. I have to buy six candy bars...
12.04.04
I've answered most of the questions from the prep sheet. Now available as a postscript or pdf file.
12.03.04
Steven Butler, the TA, will be having a review session on Monday December 6, 8:00am-10:00am, in the Calc Lab, 2402 AP&M. All are welcome.
12.01.04
The final exam is Monday December 6, 11:30am-2:30pm, in our usual classroom, WLH 2005.
12.01.04
The preview and prepare sheet for the final exam is now available as a postscript or pdf file. This sheet covers only the material since the last test.
You can also get a comprehensive prep sheet; this includes all three prep sheets in one file. Available as a postscript or pdf file.
Beware of possibly bogus problems.
12.01.04
In preparation for the final exam, you will want to look at final exams and materials from other incarnations of this class:
11.29.04
I will try to get a review sheet here by Wednesday. We will do review in class on Friday. I might find time for a review session Monday morning or during the weekend.
11.l5.04
Someone left a calculator in the classroom during the exam. I have left it with the math front desk on the 7th floor of AP&M.
11.14.04
I have answered some of the questions on the exam prep sheet. Get it here as a postscript or pdf file. Note that I did not answer some of the questions because I do not have the time. In particular the Partial Fraction Expansions take too long. I did not check my answers so there may be errors. I wrote "not answered yet" for those which i did not answer. i may get around to answering them tomorrow morning, but i would not count on it.
11.08.04
There will be an optional exam review session on Thursday, November 11, at 11am. The current plan is to have this in the Calculus Lab, AP&M 2402. Seating may be limited. I am told the building might be locked because of the holiday, but we can get security to come unlock the building. Thus we might be a little late. The review session will end around 12:30.
11.08.04
The preview and prepare sheet for the second exam is now available as a postscript or pdf file. Beware of possibly bogus problems.
11.08.04
In preparation for the second exam, you will want to look at exams from other incarnations of this class:
11.08.04
I will try to get a review sheet up here today or tomorrow. Note also that you do not have discussion section this week. This means you will hand in your homework to me during class on Friday.
10.24.04
Oooops; there is a much newer version of the supplemental notes that we are supposed to be using. I guess I am the last person to know about this. So sorry. If you downloaded from this webpage, you got the wrong version. (If you bought them from course reserves, you got the right version.) Get the most up to date version here.
10.18.04
I believe that we can get the midterm exams back to you during discussion section this week. In designing the exam I wanted a range of difficulty: some easy questions, some regular questions, some more difficult questions. If the scores are too depressed, some corrections will be made by curving.
10.18.04
Ooops! the last question on the prep sheet has some bogus assertions in it. The main gist of it was to use fact 7 from page 389, chapter 5.2. That is, if f is less than g, then their definite integrals over the same interval are ordered in the same way. My mistake was the assertion that x < sin x, which is bogus. In fact on the given interval it is the other way around. If you would still like to try the problem, use the fact that 0.5 x < sin x < x.
10.15.04
I have answered many of the questions on the exam prep sheet. Get it here as a postscript or pdf file. Note there may be errors in the answer sheet (or the prep sheet), not all questions were answered, and the prep sheet is not necessarily representative of what will be on the exam.
10.12.04
The preview and prepare sheet of the first exam is now available as a postscript or pdf file.
10.12.04
In preparation for the first exam, you will want to look at exams from other incarnations of this class:
10.11.04
The first midterm exam is Monday, October 18, in class. I will post a review sheet here for you some time this week. You must bring a blue book to the exam. A blue book is an examination book with a few (8?) pages in it. These are available from the UCSD bookstore, generally for about 15 cents.
10.05.04
People have asked me if they have to know proofs for the exams. The brief answer is "no."
08.06.04
You can get the syllabus as a postscript or pdf file.
08.06.04
You can get the supplementary notes as a pdf file.
___________________________________________________________________________________

Instructor:Steven E. Pav
Phone:858 534 2126 (4-2126)
Email:spav@ucsd.edu
Office:5763 Applied Physics & Mathematics Building (APM)
Office Hours:M 11:00a-12:00p, Tu 1:10p-2:00p, or by appointment
Meeting Times:MWF 1:00p-1:50p
Room:2005 Warren Lecture Hall (WLH)
Textbook:Calculus, Early Transcendentals, 5th Edition, James Stewart. We will cover parts of chapters 5, 6, 7, 8, and some of 9 and 10.
Math 20B Supplement, Bill Helton. These supplementary notes may also be purchased at Soft Reserves.
Prerequisites:Math 20A
Course Webpage: http://scicomp.ucsd.edu/~spav/class/2004F-M20B/
Final Exam:Monday December 6, 11:30a-2:30p

___________________________________________________________________________________

Catalogue Description. 20B. Calculus for Science and Engineering (4) Integral calculus of one variable and its applications, with exponential, logarithmic, hyperbolic, and trigonometric functions. Methods of integration. Polar coordinates in the plane.

Grading Policy. Grading will be based upon performance in homeworks, two single hour exams, and a comprehensive final exam. The quarter grade is subdivided as follows:

Homework: 10%; Lesser score on midterms: 22%; Greater score: 28%; Final Exam: 40%.

Note the scoring for the midterms: your better midterm score counts slightly more than your other midterm score. This is supposed to skew scores upwards, and decrease the effects of a “bad day.” Final scores will be converted into letter grades as follows:



Final ScoreFinal Grade


at least 90%A- or better


at least 80%B- or better


at least 70%C- or better


at least 60% D or better


These grade “promises” are guaranteed, but note that the “or better” might be much better, depending on certain factors: if the exams are too difficult, or the grading too harsh, etc. Thus, for example, the cutoff for a C- might be as low as 65%, say.

Frequently students ask for a change in grading policy late in the quarter. To make such a change would be unfair to any student who had already dropped the class thinking they couldn’t pass. In any case, this is a calculus class, not a game show; there is no “deal-making.” If you get a perfect score on the final exam, I will buy you a candy bar, but you still might not pass the class--the final exam is only worth 40% of the final grade. The point of having midterm exams is to encourage students to review the material some time before 11pm the night before the final.

The dates and times for the midterms and final exam are listed in this syllabus: The first midterm is during class on Monday, October 18, the second is during class on Monday, November 15. The final is Monday, December 6 at 11:30am. If you have known conflicts with any of these exams, I encourage you to switch to another section of 20C immediately. Legitimate, documented excuses for missing an exam will be dealt with individually.

I plan to have the first midterm exam returned before the end of the fourth week, i.e., before the deadline to drop without a ‘W.’ Likewise, I plan to have the second midterm returned before the deadline to drop with a ‘W.’ The decision to drop the course is a serious one. However, I can only advise you on how you are doing in this course; I am not qualified to advise you on your educational career and know little about the various majors and their requirements. Please consult your academic advisor for these matters.

Homework. There will be 9 homework assignments, each of approximately the same length, and worth one-eighth of your final homework score. Your lowest homework score will be dropped. Since your lowest homework score will be dropped, no late homework will be tolerated.

Homework is to be handed to the TA at the end of discussion section, or to me at the end of class (for homeworks 7 & 9). I repeat: no late homework will be tolerated. The grader has full discretion in grading the homework; do not irritate the grader by handing in dog-chewed, cofee-stained, unnamed, unstapled homework scribbled in illegible runes on crumpled diner napkins. The answers to the homework questions may be found in the back of the book, or in the solutions manuals generally available on the black market. For this reason, unless a homework question is trivial (i.e., no work is required), simply writing the answer to homework questions is not acceptable; you must show all your work. A homework consisting of only answers will receive a grade of zero.

It is expected, and encouraged, that students will work together on the homeworks. This saves time (yours, mine, and the grader’s), builds leadership, and encourages cooperation. Each student must submit their own homework, written in their own hand (please no printouts, photocopies or faxes). Since the exams follow the homework closely, it is strongly suggested that students pay careful attention to the homework.

Getting Help. I encourage you to attend my office hours, and the office hours of your TA. Students can also get help at the Department’s Calculus Lab, located in AP&M 2402, and open weekdays. See http://www.math.ucsd.edu/frontdesk/roomschedule/apm_2402/

Help is also available from OASIS, which is a tutoring program requiring regular attendance. See http://oasis.ucsd.edu/mstp/mstp.shtml

Calculators. A TI-85 or -86 calculator, or one less powerful, may be used during the class and during the midterm exams. The TI-89 and -92 are not allowed.

Academic Integrity Students are expected to adhere to the University’s Policy on Integrity of Scholarship, found in the UCSD general catalogue. Minimum punishment for cheating on a midterm exam is a score of zero on that exam. Please note that an academic dishonesty charge can follow you for the rest of your academic career, and can prevent you from being admitted to law school, med school, etc. Any perceived benefit in GPA is not worth the risk of trashing your future. Students get caught every quarter. Plus, if I catch you cheating, it will hurt my feelings, and I may cry.

Course Webpage. The course page, http://scicomp.ucsd.edu/~spav/class/2004F-M20B/will include this syllabus and any updates, general announcements and some pertinent course materials.

Course Schedule. The lecture schedule is tentative, but the homework and exam schedules are exact.







week 0 F Sep 24

Introduction and (Review) §3.11







M Sep 27

(Review) §4.2, 4.10

W Sep 29

(Review) §5.1, 5.2

week 1Th Sep 30

F Oct 01

(Review) §5.3, 5.4







M Oct 04

§5.5

W Oct 06

§5.6

week 2Th Oct 07

HW 1 : §3.11 # 3, 5, 7, 8, 15, 18, 19, 31, 32, 34, 38.
§4.2 # 1, 11, 12, 15, 17, 24
§4.10 # 1, 5, 11, 13, 25, 45, 46
§5.1 # 2, 11, 13
§5.2 # 3, 5, 8, 36, 39, 49



HW 2 : §5.3 # 7, 11, 13, 21, 25, 30, 55
§5.4 # 7, 11, 13, 21, 29, 61
§5.5 # 3, 6, 11, 15, 23, 37, 57, 59, 62, 73
§5.6 # 3
F Oct 08

§6.1







M Oct 11

§6.2

W Oct 13

§6.5

week 3Th Oct 14

HW 3 : §6.1 # 5, 7, 9, 17, 41, 44
§6.2 # 1, 5, 11, 31, 33, 48, 51, 61
§6.5 # 3, 5, 9, 10, 16, 18

F Oct 15

§7.1







M Oct 18

exam 1 covering §3.11, 4.2, 4.10, 5.1-5.6, 6.1, 6.2, 6.5

W Oct 20

§10.3

week 4Th Oct 21

HW 4 : §7.1 # 1, 5, 9, 13, 19, 27, 31
§10.3 # 1, 3, 7, 10, 16, 22, 25, 31, 35

F Oct 22

Appendix G







M Oct 25

Appendix G, Supplement §1

W Oct 27

Supplement §1, 6

week 5Th Oct 28

HW 5 : Appendix G # 1, 3, 7, 15, 21, 27, 35, 37, 40, 41, 45
Supplement §1 # 2, 3, 4

F Oct 29

§7.2, Supplement §2







M Nov 01

§7.3

W Nov 03

Supplement §3, Stewart §7.4

week 6Th Nov 04

HW 6 : §7.2 # 1, 2, 5, 13, 16, 25, 41, 53
Supplement §2 # 1, 2, 3
§7.3 # 1, 3, 7, 12, 13, 16, 19, 23, 25
Supplement §3 # 1, 2, 3

F Nov 05

§7.4, Supplement §4







M Nov 08

§7.5

W Nov 10

§7.7

week 7Th Nov 11

Veteran’s Day-No Meeting

F Nov 12

§7.8

HW 7 : §7.4 # 1, 2, 5, 9, 16, 19, 23, 41, 55
Supplement §4 # 2, 3, 4, 5
§7.5 # 3, 5, 7, 10, 11, 15, 16, 17, 21, 33, 35
§7.7 # 2, 8, 13, 21, 32







M Nov 15

exam 2 covering §7.1-7.5, 7.7, 10.3, Appendix G, Supplement §1, 2, 3, 4

W Nov 17

§8.1

week 8Th Nov 18

HW 8 : §7.8 # 2, 5, 10, 13, 25, 30, 33, 35, 49, 53, 68
§8.1 # 5, 7, 9, 17, 33

F Nov 19

§8.2







M Nov 22

§8.3, 8.5

W Nov 24

§10.5

week 9Th Nov 25

Thanksgiving-No Meeting

F Nov 26

Thanksgiving-No Meeting







M Nov 29

§9.1, 9.2

HW 9 : §8.2 # 1, 3, 5, 6, 10, 13, 33
§8.3 # 23, 25, 30
§8.5 # 1, 2, 6, 11
§10.5 # 5, 7, 9, 11, 13, 17, 21, 22, 25, 27, 29

W Dec 01

§9.2, 9.3

week 10Th Dec 02

F Dec 03

final exam review

final exam review questions (like a homework assignment, but not to be turned in)
§9.1 # 1, 2, 5, 7, 9, 10
§9.2 # 3-6, 7, 8, 9, 11, 23, 24
§9.3 # 1, 3, 6, 9, 11, 15, 35, 36, 38







finals M Dec 6

Final Exam. 11:30a-2:30p