Kunkle's Syllabus, MATH 220, Spring 2017
last change: April 25, 2017

MATH 220 (Calculus II) Spring 2017

Section(s): 20722 - MATH 220 - 01:
11:00 am - 11:50 am MWF and 10:50 am - 12:05 pm T MAYBANK HALL 117
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 ask for an appointment. As always, you're welcome to use my home number if you have a question.
Wed Apr 26, 8:30-10:50am
Thu Apr 27, 10:30am-4pm
Fri Apr 28, 8:30-11:30am
Sat Apr 29, 9:00-11:30am

Math Lab: Have a problem and can't reach me to me for help? Try the CofC Math Lab.
Course Objectives: MATH 220 deepens the students' understanding of the definite integral by studying some of its various applications and the basic techniques of integration. We study sequences and series of real numbers, fundamental to any understanding of the real numbers and a stepping stone to the study of power series, the students' introduction to the important topic of the approximation of functions. Finally, we make our first steps towards a multivariate calculus with the study of calculus on curves given parametrically.
Student Learning Outcomes: By the end of the course, students will be able to
  1. Represent the following as definite integrals: area between curves, volume of a solid of revolution, average value of a function, arc length of a curve.
  2. Evaluate integrals by applying integration by parts, trigonometric substitution, trigonometric identities, and partial fraction decomposition.
  3. Identify and evaluate improper integrals and apply the comparison test to determine whether an improper integral converges.
  4. Identify properties of sequences (monotonicity, boundedness, convergence) and find the limits of sequences.
  5. Determine whether an infinite series converges by choosing and applying a suitable convergence test.
  6. Determine the radius of convergence of a power series.
  7. Use Taylor Series to express functions as power series and to evaluate infinite series.
  8. Represent plane curves as parametric equations, and recognize the plane curve that corresponds to given parametric equations.
  9. Use derivatives and integrals to find slopes and lengths of parametric curves, and areas bounded by them.
  10. Convert between Cartesian and polar coordinates, graph polar curves, and apply calculus to polar curves as for parametric curves.
  11. Model mathematical questions with differential equations, and use basic methods for solving such equations.
General Education Student Learning Outcomes: Students are expected to display a thorough understanding of the topics covered. In particular, upon completion of the course, students will be able to
  1. model phenomena in mathematical terms,
  2. solve problems using these models, and
  3. demonstrate an understanding of the supporting theory behind the models apart from any particular application.
These outcomes will be assessed on the final exam.
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, depending on which of our calculus courses you plan to take. The cheapest option is probably to buy the book used online and then sell it yourself on Amazon when you're done with it.
Calculus, Early Transcendentals James Stewart, 8th ed., MATH 120, 220, 221.
Single Variable Calculus, Early Transcendentals James Stewart, 8th ed. MATH 120, 220.
Carefully save all receipts from the bookstore. If any of your books comes shrink-wrapped, DON'T unwrap it until you check with your instructor on the first day of class that you've bought the right book.

Students who are certain that they want to use WebAssign (see below) might be able to save money by buying the book bundled with a WebAssign access code at our bookstore. Everyone else should try it for free first.

One of the options at our bookstore is a loose-leaf version of the entire book bundled with a WA code. It's the cheapest way to obtain and book with WebAssign, but it tears very easily and will have almost no value as a used book after the semester.

It would be good to have your copy of the textbook by the first day of class, but everyone will have free online (but not down-loadable) access to our book for the first two weeks of class through WebAssign. Students who purchase WebAssign will have online access to our book all semester. I find flipping through the pages online to be pretty clumsy and an impediment to learning from the book. I think even those students who buy WA will want a hardcopy of the text, if they can afford it.

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 might 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, click on "Enter Class Key" (or "Students/I Have a Class Key"), and then enter our class key:
cofc 0370 2444
You're allowed to use WebAssign for free for about the first two weeks of the semester, starting from the first day of class. 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, you might not need to purchase another.)
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 weekly one-question quizzes. See Schedule below for dates. 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 weekly quiz will be based primarily on material covered since the time of the previous exam or quiz, 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: Exams:
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. These makeups can only be used to replace quizzes that you've missed, not simply low scores. 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 at a mutually agreed upon time. Contact me after the last quiz to schedule a makeup.

I'll drop your two (2) 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."
Academic Integrety: Students in this class will be held to the College of Charleston's Standards of Academic Integrity and Honor Code.
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. There will be a short time to ask questions about these at the beginning of the next class. If you run into dificulty, really try; don't flit from one unsolved problem to the next.

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 220, Spring 2016, 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 Math Dept Sample Exams
Learning Disabled Students: Any student eligible for and needing accommodations because of a disability is requested to contact Disability Services (953-1431) and speak privately with the professor during the first two weeks of class or as soon as the student has been approved for services so that reasonable accommodations can be arranged.
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. * 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.
Do the problems marked review in Chapter 3 to review differentiation. Do the problems marked review in Chapter 5 to review the Fundamental Theorem and substition. Do the problems marked review in Appendix D to review trigonometry.

App.D: (review) 19-38. 3.1: (review) 3-35. 3.2: (review) 3-29.
3.3: (review) 1-15. 3.4: (review) 7-46. 3.5: (review) 49-58.
3.6: (review) 2-30. 3.rev: (review) 1-42. 5.3: (review) 19-40.
5.4: (review) 5-12, 14-16, 21-33. 5.5: (review) 1-35, 40-47, 53-60. 5.rev: (review) 11-35, 37, 38.

3.11: 1-12, 15-19, 23, 24, 30-39. 4.4: 1, 2, 8-70, 73*, 74*, 75, 76. 6.1: 1-25, 29.
6.2: 1-34, 47-49, 54-61, 63**. more 6.3: 1-26, 37-43, 48**. 6.4: 1-5, 7-12 (Be careful with the units in 11 and 12.), 13-19 (On Earth's surface, an object of mass 1 kg weighs 9.8 N), [20-22].
6.5: 1-15, 17, 19, 21. 6.rev: 1-16, 23-25, 26*, 27-28, [29, 30], 31, 32. 7.1: 1-45, [49, 51-56].
7.2: 1-49. more 7.3: 1-8, 19*, 20-28, 29*. (Hint for 22: use Example 8, §7.2.) 7.4: 1-30, 31*, 32-54.
7.5: 1-80, 82. 7.7: Ignore all references to Midpoint Rule. 3-21, 27-30, 32, 37. 7.8: 1-3, 5-46, 49-54, 57, 79*, 80*.
7.rev: TF:1-6, 11. Exercises: 1-52, 63-67, 71. 8.1: 1-22, 25-28. 8.2: 1-18, 27-28.
8.rev: 1-4, 7-8, 9*, 10. 9.1: 1, 2, 5, 9, 11*. 9.2: 1-8.
9.3: 1-20, 21*, 22*, [29-32], [45-48]. more 9.rev: TF: 1-4. Exercises: 1, 3, [13,14], [18]. 10.1: 1-24, 25*, 26*, 27*, 37-38.
10.2: 1-20, 23-24 (make signs charts for x' and y'), 29, 30, 41-48, 51, 52, 61-63, 65-66. 10.3: 1-12, 15-26, 29-44, 45*, 46*, 47-48, 52 (Hint: convert.), 55-64. polar graph paper 10.4: 1-12, 17-36, [37-42], [45-48].
10.rev: TF: 1-4, 7. Exercises: 1-5, 6*, 7-14, 17-18, 21-26, 31-32, [33-36], 37-40. 11.1: 1-8, 13-18, 19-22 (Use an online sequence plotter for 19-22.), 23-54, 55*, 69*, 70*, 71-78. 11.2: 3-8, 9-14 (Use an online series plotter for 9-14.), 15, 17-48, 57-63, 67, 68, 75-76, 87*.
11.3: 1-28, [36-41, plus these more]. 11.4: 3-28, 29* (easier with a later technique), 30-32, 39*, 40-41. 11.5: 2-18, 19* (easier with a later technique), 20-31. more
11.6: 1-20, 21*, 22*, 23*, 24*, 25-37, 43, 45. 11.7: 1-38. 11.8: 3-26, 27*, 28*, 29-30.
11.9: 1-10, 13-33, 40. 11.10: 5-26, 31-48, 51, 53-65, 73-80. 11.11: 1-10, 13-22, 25-31.
11.rev: TF: 1-20. Exercises: 1-8, 11-31, 33*, 40-55.

Schedule: See also CofC calendars and exam schedules for potential storm makeup days.
W 1/11 : 3.11, 7.1 F 1/13 : 7.1
M 1/16 : holiday T 1/17 : 7.2 W 1/18 : 7.2 F 1/20 : Euler (WebAssign Quiz 1 due 01/21)
M 1/23 : Euler T 1/24 : Quiz 2 (3.11-Euler) 7.3 W 1/25 : 7.3 F 1/27 : 7.4
M 1/30 : 7.4, 7.5 T 1/31 : Quiz 3 (7.3-7.5) 4.4 W 2/1 : 4.4 F 2/3 : 7.7
M 2/6 : Q&A T 2/7 : Exam 1 (3.11-7.7) W 2/8 : 7.8 F 2/10 : 7.8
M 2/13 : 6.1, 6.2 T 2/14 : Quiz 4 (7.8-6.1) 6.2, 6.3 W 2/15 : 6.4 F 2/17 : 6.5, 8.1
M 2/20 : 8.1 T 2/21 : Quiz 5 (6.2-6.5) 8.1, 8.2 W 2/22 : 11.1 F 2/24 : 11.1
M 2/27 : Q&A T 2/28 : Exam 2 (7.8-11.1) W 3/1 : 11.2 F 3/3 : 11.2
M 3/6 : holiday T 3/7 : holiday W 3/8 : holiday F 3/10 : holiday
M 3/13 : 11.3 T 3/14 : Quiz 6 (11.2) 11.3, 11.4 W 3/15 : 11.4 F 3/17 : 11.5
Mar 23 is the last day to withdraw with a grade of W.
M 3/20 : 11.6 T 3/21 : Quiz 7 (11.3-11.5) 11.6, 11.7 W 3/22 : 11.8 F 3/24 : 11.8
M 3/27 : Q&A T 3/28 : Exam 3 (11.2-11.8) W 3/29 : 11.9 F 3/31 : 11.9, 11.10
M 4/3 : 11.10 T 4/4 : Quiz 8 (11.9-11.10) 11.11 Taylor's Theorem, nice figures W 4/5 : 11.11, 9.3 F 4/7 : 9.3 slides for 9.3
M 4/10 : 10.1 T 4/11 : Take-home Quiz 9 (11.11,9.3,10.1) 10.2 W 4/12 : 10.3 F 4/14 : 10.3
M 4/17 : Q&A T 4/18 : Exam 4 (11.9-10.3) W 4/19 : 10.4 F 4/21 : 10.4
M 4/24 : Review Q&A T 4/25 : Review Q&A W 4/26 : Review Q&A F 4/28 12-3pm : Final Exam
01/19: added more problems, 7.2 01/31: omit 7.5.81 02/15: 6.4: N = kg m/s^2 04/07: added slides for 9.3
04/25: posted office hours during finals.