Kunkle's Syllabus, MATH 120, Spring 2022
last change: April 25, 2022

MATH 120 Introductory Calculus (4) Spring 2022

Section(s): 20414 - MATH 120 - 05
11:00 am - 11:50 am MWF MAYBANK HALL 113
12:15 pm - 1:30 pm R MAYBANK HALL 113
Prerequisite(s): Placement or C- or better in MATH 111
Instructor, Contact Info: Tom Kunkle, 327 RS Small, k u n k l e t _at_ c o f c _dot_ e d u, (843)953-5921 (office), (843)766-0943 (home).

Instructor's Office Hours: M 9:00-9:50 am, W 2:00-3:00 pm, R 1:45-2:45 pm, F 12:00-12:50 pm, or by appointment.
I'm happy to meet at other times that fit your schedule, if I'm available. Here's what my typical week looks like.

Here are my office hours for finals week this semester. If you'd like to see me but can't make these times, please ask for an appointment.

Tue Apr 26, 9:00-10:30, 12:00-1:50, 3:00-4:00
Wed Apr 27, 9:00-12:00

Graduate Assistant: May Nguyen, n g u y e n m y _at_ g _dot_ c o f c _dot_ e d u
Grad Asst's Office Hours: M 2:00-4:00pm (in-person), 6:00-8:00pm (online)
T 3:00-4:00pm(in-person)
W 2:00-4:00pm (in-person), 6:00-8:00pm (online)
R 1:30-4:00pm (in-person)
May's in-person office hours will be held in 301A RS Small or in the Zoom space immediately outside this office. May's online office hours will be on Zoom. See my announcement on Oaks (January 7) for the link to these Zoom meetings.
Math Lab: Have a question and can't reach me for help? Free tutors are available at the CofC Math Lab.
Video Lectures: You can watch some video lectures I recorded in 2020 at at this link, working along with me using these lecture notes.
Course Objectives: This introductory calculus course for students in mathematics and the natural sciences includes the calculus of algebraic, trigonometric, inverse trigonometric, exponential and logarithmic functions. We'll cover limits (including some delta-epsilon proofs), continuity, derivatives, the Mean Value Theorem, applications of derivatives, the Riemann integral, and the Fundamental Theorem of Calculus. For more details, see the list of sections below and our text.
Learning Outcomes: By the end of the course, students should be able to
  1. Calculate a wide variety of limits, including derivatives using the limit definition and limits computed using l'Hôpital's rule;
  2. Demonstrate understanding of the main theorems of one-variable calculus (including the Intermediate and Mean Value Theorems, and the Fundamental Theorem of Calculus) by using them to answer questions;
  3. Compute derivatives of functions with formulas involving elementary polynomial, rational, trigonometric, inverse trigonometric, exponential and logarithmic functions;
  4. Use information about the derivative(s) or antiderivative of a function (in graphical or symbolic form) to understand a function's behavior and sketch its graph;
  5. Construct models and use them to solve related rates and optimization problems;
  6. Recognize functions defined by integrals and find their derivatives;
  7. Approximate the values of integrals geometrically or by using Riemann sums;
  8. Evaluate integrals by finding simple antiderivatives and by applying the method of substitution.
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 requirements 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.
Required Text: Any one of the following three. The MATH 120 content is identical in all three.
this book: covers these courses:
Calculus, Early Transcendentals James Stewart, 8th ed., MATH 120, 220, 221.
Single Variable Calculus, Early Transcendentals James Stewart, 8th ed. MATH 120, 220.
Single Variable Calculus, Early Transcendentals Volume 1 James Stewart, 8th ed. MATH 120.

Read the book. Read it actively, with paper and pencil, following along with and working ahead of the author. Learning math by reading is an essential skill that will pay off in this course and any that follow. I strongly encourage you to obtain the version of our book you can best afford and read it.

It would be best for you to have your copy of the textbook by the first day of class, but everyone will have free online 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 suspect most students without a hard copy of the text will simply not use the text (and that's bad).

Zoom: In case of emergency, we'll use Zoom.us for online class meetings. By logging on to our class via Zoom, you are granting me permission to record our class and post the recordings on Oaks for the remainder of the semester.
Oaks: This syllabus, your exam and quiz grades, and any course materials not contained on the syllaubs will be available on the College's learning management system, Oaks, a D2L/Brightspace product. For technical problems with Oaks, please contact the Student Computing Support Desk at 843.953.5457 or studentcomputingsuport@cofc.edu.
WebAssign: WebAssign is an online homework system that gives immediate feedback and extra help on many of the problems in our text. Some students find it useful, so I've put together optional WebAssign problem sets that match as much as possible the Assigned Problems listed below. These optional problem sets will not be used in the calculation of your grade. These WebAssignments will not be poasted on Oaks; to see them, you must log on to WebAssign. 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 3794 9931
You're allowed free access to WebAssign for 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.)
Exams and Grades: Note: The number of exams and quizzes, their dates and their point values may change in the event of an emergency, e.g., the college changing its schedule or delivery of classes during the semester due to weather or contagion.

We'll have four (4) 75-minute midterm exams, a 2-hour final exam, and weekly quizzes. All exams will be in-person and closed-book: no notes, books, calculators, electronic devices, etc.

Although basic ideas we learn in this course can appear on multiple 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 will be weighted toward sections of the text that weren't covered on the miderms, but will otherwise be cumulative. Unless I tell you otherwise, you should assume that any topic of this course could appear on the final. When in doubt, please ask me.

Each of the midterm exams is worth 100 points, the final exam is worth 160 points, and the weekly in-class quizzes are worth 50 points altogether. I'll assign letter grades using this scale:
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 (excluding any on which you received a grade reduction for an honor code violation), 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 course grade two ways--based on the percent you earned of the 560 possible exam points, and again based on the percent you earned of the 610 possible exam and quiz points--and give you whichever letter grade comes out higher.

Attendance Policy: I hope to see all of you every day in class. Good attendance is a necessary first step towards a good grade.

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; however, I am unable to reteach the class to everyone who misses a day. Instead, I encourage you to catch up using the text, the videos and notes I've prepared for you, and notes from a classmate, if possible. Try 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 week 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 that week will be dropped from this class by the registrar. These roll calls will not be used in the calculation of 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) as soon as possible. Do not delay. Out of fairness to your classmates, 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 documented and excusable. If you've never seen a doctor for an illness causing you to miss the exam, it might be difficult for me to allow you a makeup. An unexcused exam will be given the grade zero, probably causing you to fail the course.

Quizzes:
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 due to absences, not simply low scores.

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 convenient time.

I'll drop your two (2) lowest quiz scores (after any makeups) before computing your quiz average.

Honor Code and Academic Integrety: Lying, cheating, attempted cheating, and plagiarism are violations of our Honor Code that, when suspected, are investigated. Each incident will be examined to determine the degree of deception involved.

Incidents where the instructor determines the student’s actions are related more to misunderstanding and confusion will be handled by the instructor. The instructor designs an intervention or assigns a grade reduction to help prevent the student from repeating the error. The response is recorded on a form and signed both by the instructor and the student. It is forwarded to the Office of the Dean of Students and placed in the student’s file.

Cases of suspected academic dishonesty will be reported directly by the instructor and/or others having knowledge of the incident to the Dean of Students. A student found responsible by the Honor Board for academic dishonesty will receive a XXF in the course, indicating failure of the course due to academic dishonesty. This status indicator will appear on the student’s transcript for two years after which the student may petition for the XX to be expunged. The F is permanent.

Students can find the complete Honor Code and all related processes in the Student Handbook at: http://deanofstudents.cofc.edu/honor-system/studenthandbook/.

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 work through 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: Calculators will be excluded from all exams and quizzes but will be useful in some of the exercises. For those times when you want a grapher, Desmos.com works great. When you want a symbolic calculator, WolphramAlpha.com does everything. Caution: Overreliance on tools such as these will leave you unprepared for the exams.
Inclement Weather and other emergencies: If in-person classes are suspended, faculty will announce to their students a detailed plan for a change in modality to ensure the continuity of learning. All students must have access to a computer equipped with a web camera, microphone, and Internet access. Resources are available to provide students with these essential tools.
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, Review: Here are the exams and solutions from the last time I taught this class under a format similar to this semester's. Since course content, exam dates, 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. You can see exactly which sections are represented on these old exams by searching in the solutions for the word "Source."

Exam 1 Exam 2 Exam 3 Exam 4 Final Exam

I've prepared these review notes to help you study for the exams. Also, here are extra final exam review problems and the math department's sample finals exams

Students needing accomodations for disabilities: Any student eligible for and needing accommodations because of a disability is requested to speak 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. Center for Disability Services/SNAP.

Currently, SNAP requires students to schedule alternate testing arrangements at least one week before the exam 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.
* 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, unless it's a slow day, I probably won't have time to do one in class.
[17] means to do problem 17 if time allows us to cover this topic in class. Ask me if you're not sure.
"2.rcc" refers to the review concept check problems at the end of Chapter 2.
"2.rtf" refers to the review true-false problems at the end of Chapter 2.
"2.rex" refers to the review exercises at the end of Chapter 2.
"App.B" refers to Appendix B in the back of our text.
It is impossible to pass this course without good precalculus skills. Do the problems marked review as needed.

App.A: (review) 1-56. App.B: (review) 1-10, 15-53, 55, 57-59. App.C: (review) 1-9, 33-35, 37-39.
App.D: (review) 1-12, 20-45, 65-72. 1.4: 1-4, 7-17, 21-23, 30-32, 34. 1.5: 1, 3-15, 16*, 17*, 18-25, 29, 30, 35-41, 47-51, 61, 63, 64, 66.
1.rcc: 1, 3, 7, 8. 1.rtf: 1-14. 1.rex: 1, 26, 27.
2.1: 1-6. 2.2: 1-12, 15-20, 31-44, 45b. 2.3: 1abcdf, 3-9, 11-32, 37, 38, 41-47, 49*, 50-52, 59*.
2.4: 1-3, 15-24, 25*, 26*, 27*. 2.5: 1-8, 17-36, 39-43, 45, 47, 53-57. 2.6: 1-10, 15-42, 47-52, [77-80].
2.7: 3, 5-8, 11, 13-15, 17-29, 31-42. 2.8: 1-13, 21-31 (also from 2.7: 31-36), 41-44, 47-52, 57*, 59*. more derivative practice problems. 2.rcc: 1-3, 5-11, 14-16.
2.rtf: 1-5 8*, 9**, 10-19, 20*, 21-23. 2.rex: 1-20, 23-25, 29, 30, 33, 35-38*, 39, 40, 42-45, 47-49. 3.1: 3-36, 39-42, 45, 46, 49, 50, 55-57*, 58-60, 63, 70*, 71*, 75**, 79**, 83*.
3.2: 3-31, 43-45, 47*, 48*, 49-52, 53*, 54*, 62**, 63**. 3.3: 1-19, 21-24, 29-35, 51*, 52**, 53**. 3.4: 1-32, 34-50, 52-55, 59-67, 68*, 69*, 70-74, 77*, 78*, 79.
3.5: 1-32, 35-40, 43*, 47, 49-58, 60, 64b (hint: using this definition, arcsec x = arccos (1/x)), [65-68], 73, 75, 76. 3.6: 2-34, [39-50], 51, 55* (hint: the limit is a derivative, as in 2.7.37). 3.7: 1-10, 13c**, 16c**, 14, 15 (hint: the answers to 14 and 15 are the same), 17, 20, 30.
3.9: 1-8, 13-23, 25-27, 29-33, 37, 41(hint: Law of Cosines), 42-49*, 50**. 3.10: 1-6, 11-14, 23-28, 41*. 3.rcc: 1, 2a-n.
3.rtf: 1-15. 3.rex: 1-42, 44, 46, 49-53, 57-59, 65, 66, 67*, 68*, 69-81, 83, 85*, 89, 98, 99, 106-108, 111**. 4.1: 1-44, 47-62.
4.2: 1-14, 17, 18, [19-22], 25-27, 29**, 31**, 37*. 4.3: 1-46, 47*, 48*, 49-57, 66**, 67**, 70**. 4.4: 1-2, 8-27, 30-54, 55*, 56, 73*, 74*, 75-76, 87**. (hint on 55: factor out x.)
4.5: 1-47,[61-68, if we get to slant asymptotes]. 4.7: 2-23, 25, 27-33 (hint for 25, 27, etc. Try first with r=1 or L=1.) 35-40, 54, 57, 71**, 72**, 73**, 75-77. 4.9: 1-18, 20-43, 45-55, 59-65, 66*, 67**, 68**, 69, 75*, 76*, 77*.
4.rcc: 1,2, 3b, 4, 6, 7ab, 8abcdh, 11. 4.rtf: 1-15, 16*, 17, 18*, 19, 21. 4.rex: 1-12, 15-34, [45], 46, 65-67, 69-74.
5.1: 1-5, 13-18. Riemann sum calculator and grapher 5.2: 1, 3-8, 9-12 (Write the Riemann sum; needn't evaluate.), 33-42, 43*, 47-53. 5.3: 2-40, 42-44, 55-57, 59-62, 64-67, 68*, 69, 73, 74.
5.4: 1-3, 5-12, 14-16, 18, 21-39, 41-45, 49-62, 69*. (hint 2 and 18: see Double Angle formulas.) 5.5 1-28, 30-35, 38-48, 53-73, 81, 82, 87*, 88*. 5.rcc 1,2, 4-7.
5.rtf 1-15, 17-18. 5.rex 1-3, 5, 7-35, 37-40, 45-50, 69, 70**, 71**.
Schedule: See CofC calendars and exam schedules for potential storm makeup days.
Content of exams and quizzes refers to topics in their order of appearance on this Schedule. For instance, "Exam 3 (3.9-4.4)" means all questions on Exam 3 will be selected from 3.9, 3.10, 4.1, 4.2, 4.3, 4.4.
M 1/10 ( 1 ) : 1.4, 1.5 W 1/12 ( 2 ) : 2.1, 2.2 R 1/13 ( 3 ) : 2.2 F 1/14 ( 4 ) : 2.3
M 1/17 ( 5 ) : holiday W 1/19 ( 6 ) : 2.4 illustration another R 1/20 ( 7 ) : Quiz 1 (1.4-2.3) 2.4 F 1/21 ( 8 ) : 2.5
M 1/24 ( 9 ) : 2.5, 2.6 W 1/26 ( 10 ) : 2.6 R 1/27 ( 11 ) : Quiz 2 (2.4-2.6) 2.7 F 1/28 ( 12 ) : 2.7
M 1/31 ( 13 ) : 2.8 W 2/2 ( 14 ) : Q&A R 2/3 ( 15 ) : Exam 1 (2.1-2.7) F 2/4 ( 16 ) : 2.8
M 2/7 ( 17 ) : 3.1 W 2/9 ( 18 ) : 3.2 R 2/10 ( 19 ) : Quiz 3 (2.8-3.1) 3.2, 3.3 F 2/11 ( 20 ) : 3.3
M 2/14 ( 21 ) : 3.4 W 2/16 ( 22 ) : 3.5 R 2/17 ( 23 ) : Quiz 4 (3.2-3.4) 3.5 F 2/18 ( 24 ) : 3.6
M 2/21 ( 25 ) : 3.7 W 2/23 ( 26 ) : Q&A R 2/24 ( 27 ) : Exam 2 (2.8-3.7) F 2/25 ( 28 ) : 3.9
Express II classes begin Feb 28. March 25 is the last day to withdraw from the course with a grade of W.
M 2/28 ( 29 ) : 3.10 W 3/2 ( 30 ) : 4.1 R 3/3 ( 31 ) : Quiz 5 (3.9-3.10) 4.1 F 3/4 ( 32 ) : 4.2
M 3/7 ( 33 ) : holiday W 3/9 ( 34 ) : holiday R 3/10 ( 35 ) : holiday F 3/11 ( 36 ) : holiday
M 3/14 ( 37 ) : 4.2, 4.3 W 3/16 ( 38 ) : 4.3 R 3/17 ( 39 ) : Quiz 6 (4.1-4.3) 4.4 F 3/18 ( 40 ) : 4.4
M 3/21 ( 41 ) : 4.5 W 3/23 ( 42 ) : Q&A R 3/24 ( 43 ) : Exam 3 (3.9-4.4) F 3/25 ( 44 ) : 4.5
M 3/28 ( 45 ) : 4.7 W 3/30 ( 46 ) : 4.7 R 3/31 ( 47 ) : Quiz 7 (4.5-4.7) 4.9 F 4/1 ( 48 ) : 5.1
M 4/4 ( 49 ) : Riemann Sum slides 5.1, 5.2 W 4/6 ( 50 ) : 5.2 R 4/7 ( 51 ) : Quiz 8 (4.9-5.2) 5.3 F 4/8 ( 52 ) : 5.3
M 4/11 ( 53 ) : 5.4 W 4/13 ( 54 ) : Q&A R 4/14 ( 55 ) : Exam 4 (4.5-5.3) F 4/15 ( 56 ) : 5.4
M 4/18 ( 57 ) : 5.5 W 4/20 ( 58 ) : 5.5 R 4/21 ( 59 ) : review, Q&A F 4/22 ( 60 ) : review, Q&A
M 4/25 ( 61 ) : review, Q&A W 4/27 1:00-3:00 pm, 113 Maybank Hall : Final Exam
Changes:
01/08: changed some links from http to https 01/19: added illustration to 2.4. updated cofc attendance verification policy. another 03/22: repaired quiz links. modified worst midterm policy in case of honor code violation. 04/01: added link to Riemann sum calculator and grapher
04/21: added office hours during finals. 04/25: modified office hours during finals.