Calculus II, Summer 2016
Instructor: Andrew Obus
email: obus [at]
virginia [dot] edu
office: Kerchof Hall 208
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.
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
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.
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
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.
If you have any questions concerning your background, please speak to me.
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.
My office hours are TTh 2-3, Kerchof Hall 208 (my office).
If these times do not work for you, please make an appointment
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
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:
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
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
Some Useful Links
Virginia Undergraduate Math Page
University of Virginia Math
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