MATHEMATICS 232 (Section 007)Fall2013

Calculus of Functions of One Variable IIT, Th12:30-1:45, Phillips 383

InstructorKarl Petersen()

OfficePhillips 300A

Office HoursTues. 2-3, Wed. 1-2, Thurs. 2-3, and by appointment

Website

Textbook: Stewart, James. Single Variable Calculus: Early Transcendentals, 7th edition.

You may purchase the textbook in any available format (eBook, alternate edition, etc.), as long as it is the 7th edition and goes up to Chapter 11. If you plan to take MATH 233, you may wish to buy the bigger textbook (omit “Single Variable” from the title), which contains additional material on multivariable calculus.

WebAssign: You will need access to WebAssign for homework. If this did not come with your copy of the textbook, you will need to purchase it separately (see “Homework” below).

Note: There is additional information on the textbook and WebAssign posted on my website.

Calculators: Graphing calculators (e.g., TI-83 or 84) or computers (with Excel, Matlab, Mathematica, etc.) are all great for visualizing functions and checking answers. Please keep in mind that computer and calculator use, in particular the use of symbolic manipulators such as TI-89 or 92, Mathematica, Maple, is strictly prohibited on exams.

Placement: To be eligible to register for this course, at least one of the following must be true:

  • You earned at least a 3 on the AB-AP exam.
  • You earned at least a 3 on the AB subscore of the BC-AP exam.
  • You earned a grade of C- or higher in Math 231 taken at UNC-CH.
  • You have special permission from the department.

For questions about placement, contact me, Karl Petersen, .

Note: Math 152 is not an acceptable prerequisite for Math 232.

Course Outline: We will cover most of Chapters 6-8, 10 and 11. The major topics are techniques and applications of integration, parametrized curves, polar coordinates, conics, and infinite sequences and series. In the first week, we will review some basic material on integration from Chapter 5 and then move quickly on to Chapter 6.

Lectures and Attendance: Please come to class prepared to learn. In class, please refrain from using cell phones and laptops – such activities are distracting to you and those around you.

Reading the textbook before attending lectures is a good (and recommended) study habit. It will be helpful to look at the example problems in each section before (or while) working on homework problems. I will do my best to use different examples in class so that you have a varied set of examples to refer to.

You are responsible for all of the material covered in class or assigned as homework. A more specific attendance policy may be implemented if necessary.

Homework: Homework willrun online through WebAssign. You will need an access code, which can be purchased either at the bookstore or directly from WebAssign. Please follow these instructions to setup your WebAssignaccount:

Website

Class Keyunc9700 0520

New Users / Previous Users
Click on I have a Class Key.
Enter the appropriate Class Key from above and submit.
Verify that you have the correct class and choose Need to Create … Complete all boxes with an * beside them with your personal information.
Click on Create my account.
Click on Log in.
From this point on you will sign in as a returning user with your User Name, Institution, and Password.
You have a 14 day grace period from 8/21 before you need to enter your access code or purchase one from WebAssign. / Click on I have a Class Key.
Enter the appropriate Class Key from above and submit.
Verify that you have the correct class and choose Already Have …
You can log in with your User Name, Institution, and Password.
You have a 14 day grace period from 8/21 before you need to enter your access code or purchase one from WebAssign.

Note: Please avoid sending homework questions via email. I am available during office hours to answer homework questions (and any other questions related to the course).

Quizzes: There will be regular quizzes, roughly one per week. There will be no make-up quizzes, but I will drop your lowest 3 quiz scores.

Exams: There will be three (3) midterm exams in class and one (1) comprehensive final exam. The midterm exams will be given on Sept.12, Oct.10, and Nov. 14 (all Thursday). Make-up midterms will not be offered. If an exam is missed or a grade is out of line with other grades, the other grades will become more important.

The final exam is scheduled for Tuesday, December 10, at 12 noon.Under no circumstances will the final exam be given prior to this date. In order to take a make-up final exam,you must have an official examination excuse. This excuse must be signed by a Dean (in Steele Building), and you must bring this excuse, along with a picture ID, to the exam.

Grading: The three hour exams and homework will count approximately equally, and the final exam will count about as much as two hour exams. Grades received later in the course will count more than earlier ones. Class participation will also be taken into consideration.

Math Help Center: The Math Help Center offer free drop-in tutoring services throughout the semester. It is located in Phillips 365 (old library room) and runs Monday through Thursday, 1-6 PM, Friday 1-3 PM. You are encouraged to take advantage of this resource. See for more information.

Honor Code: All students are expected to adhere to the UNC Honor Code. You may work together on homework, but you should write up individually any work to be handed in and properly acknowledge any sources used or help received. Each exam will include an honor pledge for you to sign. Visit for more information regarding the Honor Code.

Planned Schedule (subject to adjustment)

Week of / Sections / Topics / Comment
Aug. 20 / 6.1, 6.2 / Areas between curves,
Volumes / Classes start Tues. Aug. 20
Aug. 27 / 6.3, 6.4, 6.5 / Shells, Work, Average Value
Sept. 3
Sept. 10
Sept. 17
Sept. 24
Oct. 1
Oct. 8
Oct. 15
Oct. 22
Oct. 29
Nov. 5
Nov. 12
Nov. 19
Nov. 26
Dec. 3 / 7.1, 7.2
7.3
7.4, 7.5
7.8, 8.1
!0.1-10.3
10.5
4.4, 11.1
11.2, 11.3
11.4, 11.5
11.6, 11.7
11.8
11.9,11.10
11.11
Review / Integration by parts, trigonometric integrals
Trigonometric substitutions
Partial fractions, Strategy
Improper integrals, Arclength
Parametrized curves, polar coordinates
Conics
L’Hospital’s Rule, Sequences
Series, Integral test
Comparison test, Alternating series
Ratio and root tests, Strategy
Power series
Representing functions by power series, Taylor and Maclaurin series
Applications of Taylor polynomials / No classes Mon. Sept. 2
Exam 1 Thurs. Sept. 12
Exam 2 Thurs. Oct. 10, U-Day sat. Oct. 12
Fall Break Thurs. Oct. 17-Sun. Oct. 20
Exam 3 Thurs. Nov. 14
Thanksgiving Wed. Nov. 27-Fri. Nov. 29
Last class Wed. Dec. 4
Final Exam 12 noon Tues. Dec. 10