Kunkle's Syllabus, MATH 221, Spring 2015
last change: May 4, 2015

MATH 221 (Calculus III) Spring 2015

Section: 21397 - MATH 221 - 02
10:00am - 10:50am MWF MAYBANK HALL 223
9:25am - 10:40am T MAYBANK HALL 223
Instructor: Dr. Kunkle, 327 RS Small, k u n k l e t _at_ c o f c _dot_ e d u, 953-5921 (office), 766-0943 (home).
RS Small is item 23 on the campus map. It's a big pink building across from Maybank Hall on Cougar Mall.
Instructor's Office Hours: Here are my remaining office hours this semester. If you'd like to see me but can't make these times, please contact me and we'll find another time to meet. As always, you're welcome to use my home number if you have a question.
Mon Apr 27: 9-9:50, 2-3
Tue Apr 28, 8:30-11:30, 1:00-3:50
Wed Apr 29, 8:30-11:30
Thu Apr 30, 8:30-11:50, 1:15-4:00
Fri May 1, 8:30-11:50, 1:15-3:00

Math Lab: Have a problem and can't reach me to me for help? Try the CofC Math Lab.
Course Objectives, Expected Outcomes: MATH 221 is in introduction to multivariable calculus. We'll cover the calculus of geometry and motion in three-space, continuity and differentiability of functions of several variables, line integrals and multiple integrals, and the theorems of Green, Stokes, and Gauss. For more details, compare the list of sections below with our text's table of contents. Students are expected to display a thorough understanding of the techniques of these topics and, to some extent, the theory behind them.
Mathematics Program Student Learning Outcomes: This course can be used to satisfy some requrements of the undergraduate mathematics degree program, for which there are also some standard goals; students will:
  1. use algebra, geometry, calculus and other track-appropriate sub-disciplines of mathematics to model phenomena in mathematical terms;
  2. use algebra, geometry, calculus and other track-appropriate sub-disciplines of mathematics to derive correct answers to challenging questions by applying the models from the previous Learning Outcome; and
  3. write complete, grammatically and logically correct arguments to prove their conclusions.
These outcomes will be assessed on the final exam.
Text: You have two choices. The first will allow you to review material from MATH 120 and 220, but the second is easier to carry.
Calculus, Early Transcendentals James Stewart, 6th ed., MATH 120, 220, 221.
Multivariable Calculus, Early Transcendentals James Stewart, 6th ed., MATH 221 only.
Do not buy
Single Variable Calculus, Early Transcendentals James Stewart, 6th ed. MATH 120, 220.
Single Variable Calculus, Early Transcendentals Volume 1 James Stewart, 6th ed. MATH 120 only.
If you like using online resources for homework, your should consider purchasing a book that'sbundled with a WebAssign access code, but you can always purchase your book and WebAssign separately. See WebAssign.(The entire book, Calculus, Early Transcendentals, is available in loose leaf bundled with WebAssign at the CofC bookstore for a low price, but you might have trouble sell ing this book after the class.)

It would be good to have your copy of the textbook by the first day of class, but you'll have free access to the textbook online for the first two weeks of class through WebAssign.

The Student Solutions Manual for Stewart's Calculus is optional. It contains worked-out solutions to most of the odd-numbered problems in the book. It probably would be helpful to look at the SSM once in a while, but, if overused, the SSM will do you more harm than good.

WebAssign: WebAssign is an online homework system that gives immediate feedback and extra help on many of the problems in our text. To set up your account, go to http://www.webassign.net and click on "I have a class key." Then enter our class key:
cofc 9160 3522
You're allowed to use WebAssign for free for about the first two weeks of the semester. You'll need to purchase a WebAssign access code if you want to use the system after that. (If you purchased one for a course that used the same textbook in an earlier semester, it might still be good.)
A required WebAssignment to be completed during the free trial period will count as as your first quiz. Later, optional WebAssign problem sets will be available for students who find WA useful. These optional problem sets will not be used in the calculation of your grade.
Exams and Grades: We'll have four (4) 75-minute midterm exams, a 3-hour final exam, and frequent, possibly daily, unannounced one-question quizzes. See Schedule below for exam dates and quiz and exam solutions as they become available. All exams and quizes will be closed book: no notes, books, calculators, electronic devices, etc.

Although basic ideas we learn in this course can appear on several exams or quizzes, each quiz will be based primarily on material covered the previous class day, and each midterm exam will be based primarily on material covered since the previous midterm. Our final exam in this course will be cumulative. Unless I specifically tell you otherwise, you should assume that any topic of this course could appear on the final.

Each of the midterm exams is worth 100 points, the final exam is worth 200 points, and the weekly in-class quizzes are worth 50 points altogether. I'll assign letter grades as follows:
Letter grade: A A- B+ B B- C+ C C- D+ D D-
Minimum required score: 90% 87% 83% 80% 77% 73% 70% 67% 63% 60% 57%

I won't drop any exams, but if you do better on the final exam than on your worst midterm exam, I'll raise that (one) midterm exam score by averaging it with your final exam (percentage) score. Then, at the end of the semester, I'll calculate your grade two ways--based on the percent you earned of the 600 possible exam points, and again based on the percent you earned of the 650 possible exam and quiz points--and give you whichever letter grade comes out higher.

Attendance Policy: Good attendance is a necessary first step towards a good grade. I strongly recommend that you attend class every day.

If you're absent on a non-exam day, I'll assume that you have a good reason for missing and will not require an excuse. Read the text and try the homework for the day you miss and then bring questions to me in my office. See Make-up Policy for absences on exam days.

Note: College of Charleston policy requires me to take roll during the first two weeks after drop/add, until I determine that all of my students have attended at least once, and report the results to the College. Any student who has not attended class at least once during those two weeks will be dropped from this class. These roll calls will not be used in my calculation of the remaining students' grades at the end of the semester.

Make-up Policy: If you must miss an exam, I expect you to contact me (using all the numbers above) and the Absence Memo Office as soon as possible. Do not delay. I can allow you a make-up exam only if I determine that your absence at exam time (and every reasonable time until the make-up) is excusable. If you are not sick enough to see a doctor for your illness, then you are not sick enough to miss the exam. An unexcused exam will be given the grade zero, probably causing you to fail the course.

At the end of the semester---starting from the date of the last in-class quiz and ending on the last day of final exams---I'll allow you to make up at most two (2) quizzes that you've missed for any reason. No Absence Memo will be required for makeup quizzes. The topic of the makeup quizzes can be from anything we've covered during this semester and will be taken outside of class. These makeups can only be used to replace quizzes that you've missed, not simply low scores. I'll drop your three (3) lowest quiz scores (after any makeups) before computing your quiz average.

Regrading Policy: If you think I've overlooked something when grading any of your work and would like me to consider giving it a higher score, you must write, sign, and date the following statement on the exam or quiz in question. "Dear Professor Kunkle, Please regrade Problem(s) XYZ for a higher score. I have not altered my work on this paper in any way since it was first graded."
How to get your best grade: Attend every class, practice lots of homework, and read the book!

After each class, do as many of the assigned problems as possible. If you run into dificulty, really try; don't flit from one unsolved problem to the next. If you need help, contact me or come by my office.

Don't just do the homework until you get the right answer, but practice homework problems until you can do them reliably on an exam. Practice reading the instructions on homework problems. If you are able to do the homework only after looking at some answers in the back to figure out what the question is asking, then you're not prepared for the exams.

Begin extra studying well in advance for the tests, at least a week. Rework old problems that could appear on the test. Write (and rewrite) a special set of notes that summarize in your own words the important facts for the test. Include in these notes the different types of problems appearing in the homework and the steps you follow to solve each type. (For example, here are the notes written by an A student while studying for the first test in MATH 111 Precalculus.)

Calculators: A calculator is of limited use in learning the material in this class, so no specific model is required for this course. Calculators will be excluded from all exams and quizzes.
Syllabus On Line: If it becomes necessary for me to change any part of this syllabus, you'll always find its most current version at http://kunklet.people.cofc.edu/ . Look for the last change date at the top of this document, and the description of changes at the bottom.
Old Exams: Here are the exams from my MATH 221, Fall 2013, when I last taught this class. Since course content and the order of topics can change from one semester to the next, these exams might not always cover the material you should be studying for your exams.
Exam 1 Exam 2 Exam 3 Exam 4 Final Exam (now with solutions) Math Dept Sample Exams
Learning Disabled Students: If you have a learning disability which might effect your performance in this class, you should contact Disability Services (953-1431) and talk to me in private (before the end of drop/add, if possible). While I'm happy to provide whatever accomodations are necessary for you to succeed, there's a limit to what I can do without documentation from Disability Services. Appointments with Disability Services for alternate testing must be made by the student in advance of the test date.
Assigned Problems: This is a list of all the problems worth doing in each section we'll cover. I won't collect these, but you should be doing them daily.

"5-25" means at least the odd numbered problems between 5 and 25, inclusive, and preferably the even numbered problems as well.
"7-19 (all)" means all problems between 7 and 19, inclusive.
* indicates a challenging but worthwhile problem.
** indicates a very challenging problem for your enjoyment only. I won't put a ** problem on an exam, and I probably won't have time to do one in class.
"12.rev" refers to the review exercises at the end of Chapter 12.
"App.D" refers to Appendix D in the back of our text.
[17] means to do problem 17 if time allows us to cover this topic in class.

12.1: 7-11 (all), 13-17, 21-35. 12.2: 3-9, 13-27, 31, 35, 37. 12.3: 1-19, 23, 25, 35-39, 45, 47, 51.
12.4: 1-7, 13, 17-21, 27-35, 39, 41. 12.5: 1-37, 43, 45, 49-59, 63, 65, 69, 71. 12.6: 3-7, 11-19, 21-28 (all), 29-35, 41, 43*.
12.rev: 5, 11, 13-23, 29-35. 13.1: 1-11, 15, 17, 19-25 (all), 27, 37. 13.2: 3-25, 31-39, 45-49.
13.3: 1-5, 15-25, 31, 43, 45, 49. 13.4: 3-16, 19, 20, 21*, 22*, 33-38. 13.rev: 1-6, 9, 11-13, 15-20.
14.1: 1, 7-29, 30, 31, 32, 33-50, 55-64 (all). 14.2: 1, 5-22, 25, 26, 29-41. 14.3: 1, 3, 15-69, 87, 89.
14.4: 1-6, 11-18, 23-32, 43. 14.5: 1-26, 35-39, 43. 14.6: 1, 7-17, 21-27, 33, 35, 39-44, 47, 48, 53*, 55*, 57*, 58**.
14.7: 1-18, 29-36, 39-49. 14.8: 1-9, 13, [15-17], 18, 19, 25-31, 35, 37, [41]. 14.rev: 1-5, 6, 9-21, 25-37, 45, 47, 51, 53, 55*, 59-63.
15.1: 1, 5-11. 15.2: 3-31. 15.3: 1-27, 31*, 33, 39-49, 59*, 61.
15.4: 1-35. 15.6: 1-21, 27, 29*, 31*, 33*, 35*. 15.7: 1-13, 17-21, 27.
15.8: 1-13, 17-21, 23*, 25, 27, 39. 15.9: 1-5, 7*, 9, 13, 15, 19, 21. 15.rev: 3-31, 39, 45, 47, 49*.
16.1: 1-9, 11-18 (all), 21-25, 29-32 (all). 16.2: 1-13, 17-21, 39, 41, 43*, 47 (hint: find work exactly). 16.3: 1-23, 27, [29, 31], 33*.
16.4: 1-13, 17, 19. 16.5: 1-19, 12, 31*. 16.6: 1-5, 19-25, 33-43, 47, 57.
16.7: 5-29. 16.8: 1-11, 15. 16.9: 1-13, 25-29.
16.rev: 1-13, 15*, 17, 21, 23*, 27, 29, 33, 37, 39.

Schedule: See also CofC calendars and exam schedules.
M 1/12 : 12.1 T 1/13 : 12.2, 12.3 W 1/14 : 12.3 F 1/16 : 12.4
M 1/19 : holiday T 1/20 : 12.5 (Quiz 1 on WebAssign) W 1/21 : 12.6 F 1/23 : 13.1
M 1/26 : 13.2 T 1/27 : 13.3 Quiz 2 W 1/28 : 13.3 F 1/30 : 13.4
M 2/2 : Q&A T 2/3 : Exam 1 (12.1-13.3) W 2/4 : 13.4 F 2/6 : 14.1 Quiz 3 contour maps
M 2/9 : 14.2 Quiz 4 T 2/10 : 14.3 Quiz 5 W 2/11 : 14.4 Quiz 6 F 2/13 : 14.5 Quiz 7
M 2/16 : 14.6 Quiz 8 T 2/17 : 14.6, 14.7 Quiz 9 level curves and gradient W 2/18 : 14.7 F 2/20 : 14.8 Quiz 10
Mar 25 is the last day to withdraw with a grade of W.
M 2/23 : Q&A T 2/24 : 14.8 W 2/25 : 15.1 F 2/27 : 15.2 Quiz 11
M 3/2 : holiday T 3/3 : holiday W 3/4 : holiday F 3/6 : holiday
M 3/9 : 15.3 Quiz 12 T 3/10 : Exam 2 (13.4-14.7) W 3/11 : 15.4 F 3/13 : 15.4, 15.6
M 3/16 : 15.6 T 3/17 : (15.6) 15.7, 15.8 Quiz 13 W 3/18 : 15.7, 15.8, 15.9 F 3/20 : 15.9 Quiz 14
M 3/23 : Q&A T 3/24 : Exam 3 (14.8-15.9) W 3/25 : 16.1 F 3/27 : 16.2 Quiz 15
M 3/30 : 16.2, 16.3 Quiz 16 T 3/31 : 16.3 W 4/1 : 16.4 Quiz 17 F 4/3 : 16.4, 16.5
M 4/6 : 16.5 T 4/7 : 16.6 Quiz 18 W 4/8 : 16.6, 16.7 F 4/10 : 16.7
M 4/13 : Q&A T 4/14 : Exam 4 (16.1-16.7) W 4/15 : 16.8 F 4/17 : 16.8, 16.9
M 4/20 : 16.9 T 4/21 : Review Quiz 19 W 4/22 : Review F 4/24 : Review
M 4/27 : Q&A
M 5/4 : Final Exam 8-11am, MAYBANK HALL 223
01/29: Added sections covered on each exam. 02/04: Changed quiz frequency. 02/19: added some even problems to homework, 13.4-14.8 02/23: Rescheduled Exam 2 in response to delay of class on 02/24.
02/26: Corrected Course Objectives 03/17: Corrected schedule to reflect coverage to this date. 04/15: Corrected time of final exam. 04/21: Increased number of quizzes dropped to 3.
04/27: added Office hours during finals. 04/28: Modified today's Office hours. 05/04: added link to Final Exam