Math 132 Fall 2015

Section	Time	Location	Instructor	email	Office Hours
FL2015 L24 Math 132 01: Calculus II	M-W-F-- 9:00AM-10:00AM	Simon Hall 1	B. Blank	brian@math.wustl.edu	Cupples I 224 MF 11:30-12:30 W 12:30-1:30
FL2015 L24 Math 132 02: Calculus II	M-W-F-- 10:00AM-11:00PM	Simon Hall 1	B. Blank	brian@math.wustl.edu	Cupples I 224 MF 11:30-12:30 W 12:30-1:30
FL2015 L24 Math 132 03: Calculus II	M-W-F-- 12:00PM-1:00PM	Rebstock 215	W. Goldring	wushijig@math.wustl.edu	Cupples I 116 M 3:00-4:00pm W 10:30-11:30am R 1:30-2:30pm
FL2015 L24 Math 132 03: Calculus II	M-W-F-- 1:00PM-2:00PM	Rebstock 215	W. Goldring	wushijig@math.wustl.edu	Cupples I 116 M 3:00-4:00pm W 10:30-11:30am R 1:30-2:30pm

Please include [M132] in the subject line of any email message that pertains to this course.

2. Exam Schedule

There will be three evening exams during the semester, as well as a final exam.

Exam	Date	Location	Time	Your Score	Solutions
E1	Thursday, September 17	Check here on exam day.	7:00-9:00PM	Available day after exam	Available day after exam
E2	Tuesday, October 20	Check here on exam day.	7:00-9:00PM	Available day after exam	Available day after exam
E3	Tuesday, November 17	Check here on exam day.	7:00-9:00PM	Available day after exam	Available day after exam
E4	Friday, December 11	Check here on exam day.	10:30AM - 12:30PM	Available day after exam	Available day after exam

There are three components to grading: exams, recitation quizzes, and online homework.

Quizzes will be held in discussion sections most weeks. Each quiz will consist of two short problems similar to ones found in the file of suggested practice problems. (A link to that file is given in the Homework section of this webpage.) The quizzes will cover material taught in the MWF lectures of the preceding week. The quizzes will count for 8% of the total grade. The lowest quiz score will be dropped.

Homework that is submitted and graded on line will be assigned from time to time. (See the Homework section of this webpage for further details.) Like the quizzes, the graded homework will contribute 8% of the total grade.

The three evening exams, E1, E2, E3 and the final exam, E4, each out of 100 (twenty equally-weighted multiple choice questions), will be combined in the following way to obtain an exam point total, T, out of 100:

T := (E1 + E2 + E3 + 2*E4 - min(Ei : i = 1 .. 4))/4

The formula for the exam score T has the following effect: if your final exam score is your lowest score, as it is for the majority of students, then T is the average of all four exams, but if one of your evening exam scores is the lowest, then it is discarded and replaced with your final exam score. If there is a tie for lowest among more than one of your evening exam scores, then only one is replaced by the final exam score.

The exam score T, scaled down to 84 points, the recitation quiz score Q and the webwork homework score HW, each out of 8 points, will be combined to obtain an overall score S defined by:

S := 0.84*T + Q + HW

The overall score S will be translated into a letter grade of A, B, C, D, F (with plus and minus shadings) in a way that is not stricter than the following table:

Numerical Range	Letter Grade
[80 , 100]	A
[65 , 80)	B
[50 , 65)	C
[40 , 50)	D
[0 , 40)	F

Plus/minus shadings will NOT be determined until just before the final grades have been submitted. If the final letter grades are not visible in Webstac, then the cutoffs for plusses and minuses have not yet been determined and no inquiry can, or will, be answered other than with a reference to this page.

It is extremely unlikely that a need for "upward curving" will arise. If the grade distribution determined by the algorithm described above is significantly lower than usual, then "curving" will be considered. That has not happened since 1997.

4. Exam Policies

The following subsections concern attendance at exams, excused absences, scratch paper, cheat sheets, calculators, and so on.

Attendance

Attendance at each of the three evening exams and at the final exam is mandatory. If you are absent and you have not been excused, then you will receive a score of 0 for the exam. A single grade of 0 on an evening exam will be replaced by a final exam score, assuming that that score is not also 0. However, a final exam score can replace only one evening exam score.

Excused Absences

Excused absences can be granted in cases of illness and bereavement. In general, you must bring the matter to the attention of your instructor before the exam so that you can be excused from it. An excused absence for an evening exam temporarily results in no reported grade for the missing exam. After the final exam, a statistical technique, multiple linear regression, is used to generate a numerical grade for the missing exam score. This ``expected'' grade is then used in the formula for T given above. An excused absence for the final exam results in the grade of I (incomplete). The normal method of completing the course is to take the Math 132 final exam the following spring.

The need for two excused absences is rare, and there is no general policy. We do not use multiple linear regression when there are two excused absences. Resolution of the missing scores is handled on a case-by-case basis, but the method most frequently used is to assign the grade of I (incomplete) and have the student take the missing exams the next semester to complete the course.

Exam Rules - Seating and Booklets

Seating is preassigned - click on the seat lookup link (Section 2 above) on the day of the exam. If there is a problem with your assigned seat, then ask a proctor to relocate you. All calculations are to be done in the examination booklet provided. The booklet has your name on it. If for some reason there is no booklet with your name on it, then you will be given one that is marked EXTRA EXAM. If so, write your name on the booklet. Answers are marked on scan cards. When you finish the exam, you must turn in both the scan card and the examination booklet with your work. Work in the examination booklet is not graded.

Scratch paper is NOT permitted. The cover page of your examination booklet states that all work is to be done in the booklet. Other mathematics classes will be taking their exams at the same time as you take yours. It is possible that scratch paper is allowed and distributed to students in those other classes. However, you may not ask for or accept scratch paper.

Exam Rules - Aids

No "cheat sheet" of any size will be permitted on any of the four exams. The first page of the exam will provide a selection of useful formulas.

The TI-30 and TI-34 are the only calculators allowed. There is no need to list the prohibited calculators here: the rule is simple - any calculator that is neither a TI-30 nor a TI-34 is prohibited.

Violations of these policies will be referred to the Academic Integrity Committee (and the same goes for copying answers, of course).

5. Textbook

Please read this entire section before acquiring a textbook.

The official committee-chosen textbook is:

Calculus, Early Transcendentals, 8th edition
James Stewart
Cengage Learning, 2016

The 13 digit ISBN number at the bookstore is 9781305616691. This ISBN number seems to be associated with a ``bundle'' consisting of a looseleaf version of the textbook that comes with an access code to something called ``WebAssign.'' An email message from a Cengage representative seems to indicate that the code also gives access to the text as an etext. (Does the etext time out at the end of the semester? Good question.) The instructors of this course did not list WebAssign access as a course material. WebAssign is not anything needed for this course and will not be used. Consequently, you need not purchase the bundle for the purpose of gaining access to WebAssign.

Calculus texts are often available in split versions: Single Variable, which covers Calculus I and II, and Multivariable, which covers Calculus III. The title that is associated with the ISBN number above indicates that it is the complete textbook, Single Variable and Multivariable, that covers all three semesters of a standard university calculus sequence. Indeed, the ISBN number for the F2015 Math 233 Calculus III textbook is the same as the one that appears above.

If Math 132 will be your last calculus course and if you find a good deal on the Single Variable text, then it will suffice for this course. Actually, almost any traditional Single Variable Calculus textbook should be fine. That includes earlier editions of Stewart's textbook, but do not buy either Stewart's ``Calculus, Concepts and Contexts'' or Stewart's ``Essential Calculus''.

To elaborate on the last paragraph, if you already own a calculus text, then you may not need to purchase an additional one. The topics to be covered are listed in the next section below. If the text you have covers them, then you already have what you need: you do not need access to WebAssign and you do not need the exercise sets in the official course textbook.

To repeat, if Math 132 is to be your last calculus course, then it is likely that you can find a much cheaper alternative to the Stewart bundle: 6th edition and earlier copies of Stewart's Calculus Early Transcendentals typically sell for less than $10. With binding! If you do plan to take Math 233 next semester, then coming to a decision is more complicated. The looseleaf pages in the bundle include those that cover M233 S16 content. The instructor of that course might refer to specific things in the 8th edition (such as exercises from the text). The instructor of that course might use WebAssign. However, it is not clear that a WebAssign access code purchased this semester will be valid next semester. Click the link for information on WebAssign access codes. See if you can figure it out.

6. Topics Covered

The number to the left of the topic is the section number in the official course textbook. The syllabus in the next sections refers to these section numbers, rather than to the topics.

5.1 Areas and Distances
5.2 Riemann Sums, Riemann Integrals, Definite Integrals, Midpoint Rule
5.3 Fundamental Theorem of Calculus, Parts 1 (FTC1) and 2 (FTC2)
5.4 Indefinite Integrals, Net Change Theorem - A Reformulation of FTC2
5.5 The Substitution Rule (aka Change of variable in an integral)

6.1 Area Between Curves
6.2 Volumes of Solids of Revolution - Disks and Washers
6.3 Volumes of Solids of Revolution - Cylindrical Shells
6.4 Work
6.5 Average Value of a Function

7.1 Integration by Parts
7.2 Trigonometric Integrals
7.3 Trigonometric Substitution
7.4 Partial Fractions
7.7 Approximate Integration (Trapezoidal Rule, Simpson's Rule)
7.8 Improper Integrals

8.1 Arc Length
8.2 Areas of surfaces of revolution
8.3 Centers of Mass

9.3 Separable Equations
9.4 Models for Population Growth
9.5 Linear Equations

11.1 Sequences
11.2 Series
11.3 The Integral Test
11.4 The Comparison Tests
11.5 Alternating Series
11.6 Absolute Convergence. The Ratio and Root Tests
11.8 Power Series
11.9 Representing Functions by Power Series
11.10 Taylor and Maclaurin Series

10.3 Polar Coordinates
10.4 Areas and Polar Coordinates

7. Syllabus

Week	Sections
#1 (08/24, 08/26, 08/28)	5.1, 5.2, 5.3, 5.4
#2 (08/31, 09/02, 09/04)	5.5, 6.1, 6.2
#3 (09/09, 09/11)	6.2, 6.3
#4 (09/14, 09/16, 09/18) EXAM: Thursday (Covers through 6.4) Links to old exams	6.4, 6.5
#5 (09/21, 09/23, 09/25)	7.1, 7.2
#6 (09/28, 09/30, 10/02)	7.3, 7.4
#7 (10/05, 10/07, 10/09)	7.7, 7.8
#8 (10/12, 10/14)	8.1, 8.2
#9 (10/19, 10/21, 10/23) EXAM: Tuesday (Covers through 8.2) Links to old exams	8.3, 9.3
#10 (10/26, 10/28, 10/30)	9.4, 9.5
#11 (11/02, 11/04, 11/06)	11.1, 11.2, 11.3
#12 (11/09, 11/11, 11/13)	11.4, 11.5, 11.6
#13 (11/16, 11/18, 11/20) EXAM: Tuesday (Covers through 11.5) Links to old exams	11.8, 11.9
#14 (11/23)	11.10
#15 (11/30, 12/02, 12/04)	10.3-10.4
FINAL EXAMINATION Links to old exams	Friday, December 11 10:30 AM - 12:30 PM

8. Homework

Homework sets are of two types. The exercises in the following file

Calculus II Exercises

should be attempted as the material is covered in lectures. They are not to be turned in. The answers, and in most cases solutions, are to be found in the document. These exercises provide computational practice and act as a guide to the material tested on exams. (There likely will be corrections and additions as the semester progresses, so check for updates periodically.)

There will also be graded homework that is available online. It can be accessed through this link:

Webwork

Webwork comes to us thanks to the Mathematical Association of America. It has nothing to do with Cengage's commercial WebAssign. Students enrolled in this course have (free) access to Webwork whether or not they have acquired a WebAssign code. The first time you access Webwork, use your student ID for your username and for your password. After you first access Webwork, you can change your password if desired.

You may (and should) enter answers as you obtain them. You need not submit all answers in one session. When you enter an answer, it will be remembered after you logout. It is not a bad idea to download the assignment as a pdf so that you can work off-line. You may submit answers until you obtain the correct answer. There is NO penalty for incorrect submissions. If you submit the correct answer on your 100th try, then you get the same credit, namely full credit, as a student who submitted the correct answer the first time.

If you click on the Email Instructor button, then your email message should say what you tried. The help that is offered generally depends on knowing what you did wrong. Sometimes that can be spotted from a submitted answer, but often it cannot. After the misstep has been identified, a pointer or a prod in the right direction is usually offered.

Webwork will decimalize your answer for you. For example, if (sin(pi/4) + sin(7*pi/12) + sin(11*pi/12))*pi/3 is the answer to a Riemann sum question, then you can enter the answer that way. Webwork will do the arithmetic and decimalization for you.

Assignment 1: Open 08/25/2015 9:30PM Closes: 09/02/2015 11:59PM

Assignment 2: Open 09/01/2015 9:00PM Closes: 09/11/2015 11:59PM

Assignment 3: Open 09/09/2015 1:00PM Closes: 09/18/2015 11:59PM

9. T.A. Information

Schedules for the TAs in the Calculus Help Room (Lopata 323) can be found in the table that follows. You are certainly welcome to drop in and ask questions of any TA at any time the Calculus Help Room is open. The Calculus Help Room opens August 26 and runs through December 10, closing at 2:00PM on Dec 10.

10. Additional Resources: The Calculus Help Room, Cornerstone, Peer-Led team Learning (PLTL)

Several sources for help are available to all calculus students.

Instructor's office hours (posted above). Appointments can also be made.
Calculus Help Room. Graduate Student Teaching Assistants (TAs) for the Calculus courses (131,132, 132) hold office hours in this room, Lopata 323. These TAs are also available for help for any student who comes to the Calculus Help Room.

The Calculus Help Room schedule can be found in the preceding section.
Cornerstone Math Help. Mentors are available at Cornerstone. Form a study group and get a mentor from Cornerstone. More information can be found at the Cornerstone webpage.
Cornerstone Walk-In Help is available on the South 40 for Calculus at various times and locations in the evenings.
There is a list of math tutors (for hire) available in the main office of the Mathematics Department (Cupples I room 100): 935-6760
Engineering Student Services (Tutoring for EN students provided by the School of Engineering)
PLTL. (Math 131, 132, 132 only). Students who want to participate in PLTL need to sign up for PLTL at the beginning of the semester. Even if you don't sign up, there are PLTL problem available at the PLTL webpage.

11. Links to Exam History

The math department web-posts many exams. Here is the link to the page of departure for the department's archive of old exams: Old Exams in PDF format

Exams closest in style to the ones given this semester can be found in this directory: Calculus folder Bear in mind that topics vary from year to year. That happens because different textbooks have been used over the years, because different exam dates are assigned by the college office, and because certain topics are discretionary. Different instructors have different styles of examinations. Some of the questions you might find on exams written by other instructors are not the sort of questions that will be asked this semester.

12. Arts & Sciences Fall 2015 Academic Calendar

Last Updated: 02 December 2015