## Calculus II, Summer 2016
Instructor: Andrew Obus
email: obus [at]
virginia [dot] edu
office: Kerchof Hall 208 |

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

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.

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.

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 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.

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.

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.

University of Virginia Undergraduate Math Page

University of Virginia Math Department

Comments

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.