Calculus B (Math 112)
Spring 2009

 

Professor        Marian Frazier
Office              309-A Rutherford B. Hayes Hall
Phone              PBX 5267
Website          www2.kenyon.edu/Depts/Math/FrazierM/

Office Hours

  • 11 am – 12 pm and 2 – 3 pm on Monday and Friday; 1 – 2 pm on Thursday
  • Additional appointments are available; please don't hesitate to ask for help.

Textbook

Calculus from Graphical, Numerical, and Symbolic Points of View, Second Edition, Volume 2, Arnold Ostebee and Paul Zorn. The textbook should be available in the bookstore. Please let me know as soon as possible if you have any trouble obtaining a copy of the textbook. Occasionally, we will cover material taken from other volumes of your textbook (most notably, sections 4.2 and 2.5), or material from other textbooks. When this happens, I will either scan or photocopy the relevant text and distribute the photocopies in class (or post it to the webpage).

Optional Textbook: You should have on hand a calculus textbook which includes discussion of derivatives and differentiation techniques. Volume 1 of the required text is a good example.

Computing

There will be some work done (both in class and outside of class) with the computer algebra system Maple. I will not assume that you know any Maple functions or syntax, so you will learn what you need to know as we go along. Calculators will not be used in a systematic way. We will have a great time using Maple to visualize concepts and to simplify computations! Click on this link for some online Maple references. Maple is available in Peirce 001, RBH 311, and RBH 203 (when classes are not in session). Maple is also available for installation on your personal computer; contact Terry Klopcic if you are interested in installing Maple on your personal computer.

 

Our classroom provides a computer work station for each student. While class is in session, the computers are only to be used for class activities. If you show up early, you are free to use the computers for personal reasons before class starts. Cell phones need to be in silent mode during class (preferably off). Text messaging during class is not permitted.

Homework

The best way to learn mathematics is by doing mathematics; thus, practice problems will be assigned daily. Homework to be graded will be collected once per week. It serves as your opportunity to make sure that you can not only solve the problems, but also explain your solutions carefully, as this is the only way to be sure that you understand the underlying concepts. It is your job to explain your solution to the reader, not the reader's job to search for a right idea buried in what you have written. Although you are encouraged to work with other students on homework problems, you must write up your final solutions on your own, as the homework is intended to be preparation for the quizzes and exams. Homework may involve computer exercises as well as hand-written and computer explanation. Homework should be legible with explanations written in complete sentences. Illegible homework will not be read or graded.

Homework must be turned in by the beginning of class on the given due date. No late homework will be accepted. If you know that you will be missing class, you must turn in your homework before you leave. Extensions may be granted for extenuating circumstances, but these must be discussed with me as early as possible.

In addition to the weekly homework that will be graded and collected, I will also post daily practice problems for you to work on. Although these problems will not be graded or collected, I strongly encourage you to solve the practice problems. Problems on quizzes will be taken verbatim from the suggested daily homework problems. Note that you should also be reading the textbook sections as you do the daily homework--the examples are a great help.

Homework assignments and additional information about the homework are on the website under “Homework Assignments.”

Quizzes

I will occasionally conduct a short quiz in class. The problems for these quizzes will be taken (verbatim) from the suggested daily practice problems.  Quizzes will be unannounced, but typically on Wednesdays. There are no makeup quizzes.

Exams

Exam 1

Wednesday, February 18

Exam 2

Wednesday, April 15

Final Exam

(Comprehensive)

Section 1 (10:10 – 11:00 am): Tuesday, May 5, 8:30 – 11:30 am

Section 2 (1:10 – 2:00 pm): Thursday, May 7, 6:30 – 9:30  pm

Note that the final exam is 3 hours in length!

Applied Project

The ability to express your thoughts coherently in writing is an important mathematical tool. During the semester, you will be asked to complete one laboratory exercise which will require the submission of a written report. This assignment will be discussed in more detail in class.

 

The Gateway Exam

The Gateway Exam will consist of five problems (substitution in an indefinite integral, integration by parts, partial fractions, substitution in a definite integral, and one integral involving combinations of these topics) that will test your ability to apply integration rules correctly without the aid of technology. To pass the Gateway Exam, you must present flawless solutions to all five problems on the exam. By "flawless", I mean that a solution must be 100% correct in terms of computation AND presentation. A misplaced equal sign or an omitted parenthesis would make a problem incorrect. The Gateway Exam is worth 10% of the final course grade. Since perfect solutions are required, a reasonable number of retakes of the Gateway Exam are permitted according to the following guidelines:

  1. You may take the Gateway Exam starting on January 30, 2009.
  2. Retakes will be of similar format to the first Gateway Exam, but will consist of different problems.
  3. You may take no more than 2 retakes per week, and at most 1 retake in any given day. You may not retake the Gateway Exam after 5PM on May 1, 2009 (the last day of the semester).
  4. You may retake the Gateway during any of my regularly scheduled office hours.  You may also set up an appointment with me to take it outside of office hours.  However, if you agree on a certain (non-office hour) appointment time and you fail to attend for your retake, you forfeit one of your retakes for the week.  (That is, you may reschedule one other retake that week, but not two, since you have already “spent” one of your retakes for that week.)
  5. A student who scores perfectly on the Gateway Exam on his/her first attempt will receive 12 points out of 10 (or an extra 2% for the total course grade) for this portion of the course.
  6. A student who passes a retake on or before May 1, 2009 will receive 10 points (i.e., full credit) for this portion of the course.
  7. A student who fails to pass the Gateway Exam on all attempts will receive 0 points out of 10 (i.e., no credit) for this portion of the course.

 

Calculus Clinic

Tutors will be available on Sunday, Tuesday, and Thursday evenings. They will help you with technical software questions or general questions about the course material, but they will not solve your homework problems.

 

Academic Honesty

 

In general, the rules set forth in the 2008-2009 Course of Study apply.  Presenting the work of others as your own is strictly prohibited.  In the case of homework, you may collaborate with others in discussing how a problem may be solved, but your write-up must be your own. If you submit work that contains the ideas or words of someone else, then you must provide proper citation. Assistance cannot be given nor received (other than by the instructor) on any quiz, or exam associated with this course, except where explicitly allowed by the instructor.  If you are not sure about some aspect of this policy, please see me before turning in an assignment.

Learning Disabilities

If you have a disability and feel that you may have need for some type of academic accommodation(s) in order to participate fully in this class, please feel free to discuss your concerns with me in private and also self identify yourself to Erin Salva, Coordinator of Disability Services at PBX 5453 or via e-mail at salvae@kenyon.edu.

 

Grades

Your course grade will be based on your overall percentage. The categories used to determine your overall percentage and their respective weights are listed below.

Homework

10%

Quizzes

5%

Lab Report/Writing Project

10%

Exam 1

20%

Exam 2

20%

Final Exam

25%

Gateway Exam

10%

Class participation will be used to help make borderline decisions.

Course Outline

The topics we will cover include:

  • l'Hopital's rule
  • Techniques of integration: substitution, integration by parts, partial fractions, trigonometric substitutions.
  • The Riemann sum definition of the integral
  • Numerical techniques for integration
  • Applications of integration: arc length, volume, work
  • Separable differential equations
  • Sequences
  • Series
  • Taylor polynomials and series

Please bring your textbook to class every day.