Math 112 - Calculus II - Section 1 - Spring 2017

General Information:

Meeting Time:MWF, 11:00 - 11:50 AM
Location: Morton 203
Instructor:Ryan Vinroot
Office: Jones 100D
Office Hours: M 2:30-4, W 4-5, Th 11-12 and 3:30-5 (also by appointment).
Lab:TA: Brock Crook
Location: Morton 201
Meeting Time: Tues, 8:30 - 9:20 AM (on test days, start time at 8:00 AM)
Textbook: Single Variable Calculus: Early Transcendentals (8th edition), by James Stewart.
3 Tests -- 15% each, Quizzes -- 15%, Labs -- 15%, Final Exam -- 25% (you will be able to replace your lowest attempted test score with your Final Exam score). See the syllabus link below for the precise grading scale.
Attendance & Lecture Policy: You are expected to attend every lecture and lab. If there is some reason you must reschedule a test, you must discuss it with me BEFORE the test. Please do not email or text during lecture or lab. Keep all cell phones/hand held devices/laptops/tablets put away during lecture and lab.
Calculator Policy: Calculator will NOT be allowed for quizzes, tests, or the final exam. A calculator would be most useful for certain HW or Lab problems. You can certainly get away without purchasing a calculator, and just use web-based calculating tools. If you would like to purchase a calculator, see the main 112 homepage for a list of recommended calculators.
Prerequisites: Calculus I (Math 111 or 131 or credit). This means you are expected to understand thoroughly all of the concepts taught in Calculus I at William and Mary. If you are receiving AP credit or transfer credit for Math 111/131, please make sure that you know the material from Chapters 1-4 and Sec. 5.1-5.4 well.
Syllabus: This is a course on integral calculus, concentrating on evaluating and applying definite and indefinite integrals. The last third of the course will cover sequences and series, and concepts of convergence. In particular, after a very quick review (one lecture and Lab 0) of Sections 5.1-5.4, we will cover Section 5.5, and then certain sections from Chapters 6, 7, 8, 9, and 11. For a detailed syllabus, including details of all of the above information, please read the following carefully: 112 Syllabus (pdf).

Dates & Course Announcements:

(Tentative) Exam Calendar:
Test 1 Tues, Feb. 14 In Lab, 8-9:20 am Morton 201
Test 2 Tues, Mar. 21 In Lab, 8-9:20 am Morton 201
Test 3 Tues, Apr. 18 In Lab, 8-9:20 am Morton 201
Final Exam Thurs, May 4 9 AM - 12 NOON Morton 201
  • All important announcements related to the class will be listed here. Check back frequently (don't forget to refresh your browser) for updates.
  • Important Dates and Class Holidays:
    • Fri, Jan 27: ADD/DROP DEADLINE
    • Sat, Mar 4 - Sun, Mar 12: NO CLASS (Spring Break)
    • Fri, Mar 17: WITHDRAW DEADLINE
    • Thurs, May 4, 9:00 AM - 12 Noon: FINAL EXAM
  • (1/18) My office hours during this first short week of classes are: Wed 4-5, Thurs 11-12 and 3-5. Regular weekly office hours will be announced soon.
  • (1/23) My office hours this week are: Mon 3-5, Wed 4-5, Thurs 11-12 and 3:30-5.
  • (1/27) A correction was made to the course syllabus, the linked pdf above is the corrected one. We are not covering Section 6.3, but rather we are going from Section 6.2 to 6.4, which covers Work.
  • (1/30) My weekly office hours for the semester are set as follows: Mon 2:30-4, Wed 4-5, Th 11-12 and 3:30-5. You can always email me to make an appointment if you would like to talk to me outside of these.
  • (1/30) A Trig Review Session will be given by Prof. Zapf of the Math Department this Tuesday, Jan 31, 4-5 PM, in Small 110. The review session is open to all Calculus students from all sections.
  • (2/6) My office hours today (Mon, Feb 6) have to be cut short to 3-4 pm. My other office hours this week are schedule as normal.
  • (2/9) Test 1 will be on Tues, Feb 14, in Lab, but starting at 8 AM. The test will cover Sections 5.5, 6.1, 6.2, 6.4, 6.5, 7.1, 7.2, and 7.3. The following are some suggested practice problems from the Chapter Review sections:
    Chapter 5 Review: #14, 17, 18, 21, 22, 24, 30, 32
    Chapter 6 Review: #1-8, 10, 12-15, 23, 25, 27-32
    Chapter 7 Review: #2, 3, 4, 6, 7, 9-11, 16, 20, 23, 24
  • (2/13) My office hours today (Mon, Feb 13) will be 3-5 pm.
  • (2/20) I will have extra office hours tomorrow, Tues Feb 21, from 9:30-11:30 AM and 1-3 PM. Please come with any questions.
  • (3/3) There will be a quiz on the Tues after Spring Break (Mar 10), and it will be on Section 8.1 Arc Length. Also don't forget a lab is due on that Tuesday as well. Have a great Spring Break!
  • (3/13) Here is a link to a direction field (or slope field) generator for differential equations: Nathan Grigg's slope field generator.
  • (3/17) Test 2 will be on Tues, Mar 21, in Lab, but starting at 8 AM. The test will cover Sections 7.4-7.8, 8.1, 8.3 (hydrostatic force only), and 9.1-9.4 . The following are some suggested practice problems from the Chapter Review sections:
    Chapter 7 Review: #5, 14, 15, 18, 19, 25, 41-50, 63-66, 71, 78
    Chapter 8 Review: #1, 2, 3, 11, 12
    Chapter 9 Review: #1, 2, 6, 7, 9, 10, 12, 13, 15, 18
  • (3/27) I have to have some fairly strange office hours today, instead of 2-3:30 my office hours will be 3-3:45 and 4:30-5. I apologize for any inconvenience.
  • (4/11) There will be a very slight shift in the syllabus. We will cover Section 11.8 on Power Series on Wed, Apr 12, and then Section 11.7 on Fri, Apr 14, to start our review for Test 3.
  • (4/13) Here are links to a big list of problems about convergence or divergence of series (courtesy of a Calculus course from the University of South Alabama) : Series Problems, and here are the Solutions.
  • (4/14) Test 3 will be on Tues, Apr 18, in Lab starting at 8 AM. The test will cover Sections 11.1-11.8. The following are suggested practice problems from the Chapter Review for Chapter 11 (pgs. 785-786):
    Chapter 11 Review: #1-8, 11-29, 32, 34, 38, 40-44
  • (4/26) Two assignments are due by 5 PM on Fri, Apr 28, on Brock's door: Lab 10, and the History of Calculus assignment, both of which are on the main Math 112 website.
  • (4/26) The location of the Final Exam has been set as Morton 201 (the same room as lab), and it is on Thurs, May 4, from 9 AM until 12 Noon. There are practice finals, with solutions, at the bottom of the main Math 112 website, which are good resources for studying.
  • (4/27) My office hours today, Thurs, Apr 27, are 3-5 pm (not 11-12). I apologize for any incovenience. Please email me any questions you have if you cannot make it to office hours.
  • (4/27) The following Chapters/Sections from the text are precisely what will be covered on the Final. I am including comments on what will be given to you, what will not be given, and what page numbers you can omit from each section:

    Sections 5.5, 6.1, 6.2, 6.4. 6.5, 7.1 - No comments on these sections, all is covered
    Sections 7.2 and 7.3 - The only identities that will be given to you are the half-angle identities at the top of pg. 480, and the product identities on pg. 484. You should know the identities in the table on pg. 486.
    Sections 7.4, 7.5 - No comments on these
    Section 7.7 - You will be given the error bounds for approximate integrals, but not the formulas for the approximations themselves
    Sections 7.8 and 8.1 - No comments here
    Section 8.3 - Only Hydrostatic pressure and force is covered (pgs. 558-560)
    Sections 9.1, 9.2 - In 9.2, only Direction fields are covered (pgs. 591-594)
    Sections 9.3, 9.4 - Do not memorize the solution to the logistic equation, but you should understand how the solution is obtained
    Sections 11.1-11.5 - All is covered, including the Remainder estimates for the Integral Test and Alternating Series Test
    Section 11.6 - pg. 742 on Rearranging series is not covered
    Sections 11.7-11.9 - No comments here, all is covered
    Section 11.10 - The following are not covered: Taylor's Inequality (pg 762), Binomial Series (pgs. 766-767), and Division of power series (bottom half of pg. 770).
  • (4/28) My office hours during exams will be as follows:
    Mon, May 1: 12 Noon-2 pm
    Tues, May 2: 12 Noon-2 pm, 4-5 pm
    Wed, May 3: 9-10 am, 12 Noon-2 pm, 3-5 pm


The Lab for our Section of Math 112 meets on Tuesday, 8:30-9:20 AM, in Morton 201. The TA for your Lab will be announced soon. It is essential that you show up for your Lab every week. For one, as explained below, a quiz will be given during every lab, unless there is a Test. Each of the mid-semester tests will be given during Lab. On those days, your Lab time will begin 30 minutes earlier, at 8:00 AM, so that everyone has ample time to complete the tests.

Each lab assignment will be discussed during the lab time, with an introduction to the concept covered and some examples given by your TA. Your scores on the Lab assignments will count as 15% of your final grade. All of the labs will be available at the following link: 112 homepage.

The first Lab meeting is Tuesday, Jan 24. Prior to the first Lab meeting, complete Lab 0, which is a review of Math 111 material. Lab 0 is due at the beginning of the first Lab meeting. Quiz 0 will be handed out at the first Lab meeting, which will not be a timed quiz, but rather will be a sample (ungraded) quiz to do on your own at home.

Please check the class syllabus to see which labs are due on which week. The syllabus for the Lab, with policies from your TA, is here: 112 Lab Syllabus (pdf).

Homework & Quizzes:

There will be homework assignments for every section covered in class. This homework is absolutely necessary in order to succeed on the quizzes, tests, and to develop a firm understanding of the material. Homework will not be collected, although you are always welcome to ask me to look at your work and to make comments on your solutions during my office hours.

The list of all assigned homework problems is here(pdf).

WebAssign problems are available online for those students who purchased a WebAssign account with an electronic textbook. WebAssign is not a requirement for the course. These will be strictly for your benefit (and will be similar to the problems listed above), but will be a bit enhanced with hints and extra help from WebAssign. The Class Key for this section's WebAssign (Math 112, section 01) is: wm 9046 3044.

There will be quizzes given at the beginning of lab every week when there is not a mid-term test. Each quiz will be 10-15 minutes, and will consist of a test-style problem (possibly with multiple parts). Like the tests, calculators will not be allowed on quizzes. The main point of the quizzes, apart from testing your understanding of the assigned homework, is to prepare you for test problems. In general, if you do all of the assigned homework for each lecture during the week, you will be prepared for the quiz.

For your total quiz score at the end of the semester, I will drop your lowest quiz score. There are no make-up quizzes.

I will list all quizzes given throughout the semester, along with their solutions, here:

Resources & Links:

  • Apart from my office hours, there is also Calculus tutoring by graduate assistants on Sunday through Thursday evenings from 5:00 PM until 8:00 PM, in Jones 112. If you can, take advantage of this free service.
  • The main homepage for all sections of Calculus II at William & Mary, which has all of the Labs, and some problems from past finals, is here.