Calculus II, Summer 2016 

Instructor: Andrew Obus
email: obus [at] virginia [dot] edu
office: Kerchof Hall 208
phone: 434-424-4930



MTWThF 9:45-12:45, Monroe Hall 114.  Generally, there will be a 40-minute recitation/problem session from 9:45-10:25, then a one-hour lecture from 10:35-11:35, and then another one-hour lecture from 11:45-12:45 (although on the first day of class, we will start with lectures at 9:45, and on days when there are quizzes, the schedule will also change).  The recitations will be led by Mariano Echeverria (me3qr [at] virginia [dot] edu).  Please ask questions if anything in lecture is unclear.

Important Dates

First Day of Class: June 13
Quiz 1: June 17
Quiz 2: June 24
Quiz 3: July 1
Last Day of Class: July 8
Final Exam: July 9

100% Refund Drop Deadline: June 14
75% Refund Drop Deadline: June 16
50% Refund Drop Deadline: June 20
0% Refund Drop Deadline (may withdraw without notification on transcript): June 23
Withdrawal Deadline (may withdraw with grade of WD on transcript): June 30


Single Variable Calculus: Early Transcendentals, 7th edition, by James Stewart (Publisher: Brooks/Cole Cengage Learning). An electronic edition of the text is provided through the on-line homework system WebAssign, to which you must have access. (Acquisition of a physical copy of the text is optional.)

Any student who purchased WebAssign for Math 1310 at UVA may already have WebAssign access for this course via the same code used for Math 1310. Try your code! If you must purchase WebAssign for Math 1320, you have several options:

(1) purchase WebAssign single-term access on-line through the WebAssign website,
(2) purchase a single-term WebAssign-access card at the UVA Bookstore,
(3) purchase a physical (loose-leaf) copy of the text, bundled with a multi-term WebAssign-access
card, at the UVA Bookstore, or
(4) purchase WebAssign via (1) or (2) and, if you want a hard-copy of the text, buy a used copy from
the Bookstore.


A wise man (my officemate) once said, “Calculus is about using straight things to study curvy things.” I would take this a step further and say that “Calculus is about using finite things to study infinite things.” I hope that by the end of the class, you will not only understand how to do the above, but also why it’s important.  Along the way, we will learn some pretty interesting stuff: How to calculate the arc length of a curve, how to sum infinite series, how to understand probability distributions (such as the bell curve), how to understand population growth, and more!

We will cover most of Chapters 7 - 11 in Stewart's book.  Chapter 7 discusses techniques of integration, i.e., how to find antiderivatives in non-straightforward cases.  Chapter 8 discusses further applications of integration, beyond the basic ones involving area and distance that you have already seen.  Chapter 9 is an introduction to differential equations, which govern almost any physical process you can think of (and many non-physical processes as well)!  Chapter 10 is an introduction to polar coordinates and parametric equations, which are sometimes a more convenient way to describe curves than simply using the graph of a function.  The chapter 11 material covers infinite series.  For instance, we will show that 4 - 4/3 + 4/5 - 4/7 + ... is equal to pi!  This material will also be related to calculus through the Taylor and MacLaurin series.  The series unit is usually what students find the most difficult --- we will cover it in the middle of the term (before Chapters 9 and 10) so that we don't have to rush.

Expected Background: You are expected to have a good background in one variable differential calculus, either from Math 1310, AB Calculus, or an equivalent course. This includes the meaning of the derivative as well as computation of the derivative (including the chain rule). You should know the meaning of a definite integral as an area under a curve, and you should be able to compute antiderivatives by u-substitution. Most importantly, you must be very comfortable with your pre-calculus. I have taught this class several times, and in my experience, the students who do the best are those whose algebra and trigonometry are the most solid (not necessarily those whose calculus backgrounds are the most extensive). You will need to be able to compute trigonometric functions of angles whose measures are multiples of 30 and 45 degrees on exams. 

In particular, if you are rusty on your first semester calculus or your pre-calculus (especially trig), it wouldn’t be a bad idea to start doing some review now (meaning when you read this). I will recall results from Calculus I as they are needed, but I will not spend an entire class discussing how to do the chain rule, or how to find the cotangent of 3π/4, or how to find a limit of a rational function as x → ∞ (although I am happy to give you help on these subjects during office hours).

If you have any questions concerning your background, please speak to me.

WARNING!!! Since this course covers a semester's worth of material in four weeks, it will seem extremely fast-paced (even though there is actually more class time than in a regular semester course).   If you fall significantly behind, it will be next to impossible to catch up (read: I have never once seen this happen successfully).  You do not want to fall into a pattern where each lecture starts to become less understandable than the last.  Please see me promptly if things stop making sense, and do not tolerate the mental state of "not really getting it" --- if you tolerate this for more than a day or two without doing something about it, you will become lost in the course.

I do not want to seem too discouraging --- it may be the case that you find yourself not having fully understood everything at the end of a lecture.  This is totally normal and nothing to be worried about, but please go over your notes as soon as possible to get up to date, and ask questions in recitation the next day to clear up your misunderstandings!  If you need further help, do not be shy about asking questions in office hours or making an appointment with me or Mariano. 

Office Hours

My office hours are TTh 2-3, Kerchof Hall 208 (my office). If these times do not work for you, please make an appointment with me.

Mariano's office hours are W 2-4, Kerchof Hall 114.


Homework will be given on WebAssign.  It will be given virtually every day, and will be due at 11:59 PM the next day.  The good thing about WebAssign is that you get to try each problem as many times as you need (without penalty!) until you get the right answer.  Occasionally, I may also assign a written problem or two from the book to be handed in during class.  I will drop your lowest homework score to allow for missed assignments or for assignments that pose special difficulty.

You are encouraged to discuss homework with each other!  I have found that it is helpful if I think about the problems myself first, and then discuss the more difficult questions with others.  It is very important that you truly understand the homework solutions you submit.  In previous classes I have taught, the students who were the most unpleasantly surprised with their exam grades have been the ones who have handed in homework that they did not "own".

WebAssign homeworks will be due on the following schedule:

#1: 6/14
#2: 6/15
#3: 6/17
#4: 6/20
#5: 6/21
#6: 6/22
#7: 6/24
#8: 6/27
#9: 6/28
#10: 6/29
#11: 7/1
#12: 7/5
#13: 7/6
#14: 7/7


There will be quizzes in class on 6/17, 6/24, and 7/1 (all Fridays).  These will be an hour each, and will be given at 9:45.  The final exam will be given on Saturday, July 9 in our usual classroom from 10:30 - 1:00.

Calculators are not permitted on exams.

Final Course Grades

20% Homework
15% Each Quiz
35% Final Exam

It is possible for exceptional class participation to be factored into the final grade in borderline cases.


The University of Virginia Honor Code applies in this class.  You will be asked to sign a statement before each exam acknowledging that you understand this.


All students with special needs requiring accommodations should present the appropriate paperwork from the Student Disability Access Center (SDAC). It is the student's responsibility to present this paperwork in a timely fashion and follow up with the instructor about the accommodations being offered. Accommodations for test-taking (e.g., extended time) should be arranged at least 5 business days before an exam.

Some Useful Links

University of Virginia Undergraduate Math Page

University of Virginia Math Department

Extra Help


If you have (anonymous) comments for me about teaching style or anything related to the course, you can make them on the Collab page for the course.