Text: Varberg, Purcell and Rigdon, Calculus.
Professor: W. Farr, 105A Stratton, X5496, E-mail - bfarr.
Office Hours: MTThF 10-11, 2-3 (except Monday), or by appointment.
TA: Greg Matthews
PLAs: Joe Chapman, Kurt Ferriera, Sunny Manivannan, John Potter, Chris
The main goal of this course is to provide students with an
understanding of both the theory and the applications of calculus.
This course is designed to provide students in science and engineering
with the fundamentals of calculus and also to provide experience with
how it is used to solve problems. Students will also gain experience
in working in teams on the laboratories that are an
important part of this course. Students will also become familiar
with software tools available on the workstations in the laboratory,
particularly the Computer Algebra System, Maple.
We will meet in the lab on Monday where you will work in
pairs on lab exercises designed to
help you explore the calculus concepts we are struggling with. Short
written reports will be required; there will be 6 labs during the
term, totaling 12% of
your final grade.
Lab reports will be due the same day the lab is introduced.
Attendance at the lab sessions is required. No excuses will
be accepted without prior arrangement with me. Labs will go up on the
web on the Tuesday before the lab period.
There will be two hour exams and a two-hour comprehensive final, split
over the last two classes of the term. Each
hour exam will count for 20% of your final
grade. Part I of the final exam will count for 10% of your final
grade and Part II of the final exam will count for 20% of your final
grade. Together, these exams will count for 70% of your final grade.
Tentative dates for the exams are March 29, April 18, and the final
exam will be on May 2 and 3. All exams will be during our normal
class time. Make-ups for missed exams will not be given without prior
arrangement with me.
Problems from the text will be assigned weekly to give you
practice with basic manipulation. Doing these problems regularly is
essential to your
understanding of the material. Homework will be collected weekly on Friday in
the conference sections and
selected problems will be graded. Homework scores will count as 18%
of your final grade. Late homework will not be accepted without prior
arrangement with me.
Homework papers must include your name and section number on the first
page. Homework papers must be stapled. Each problem must include the
steps you used to get to your answer as well as a brief explanation of
your logic. Answers without supporting work
will not be graded.
William W. Farr
- Week 1
- Indeterminate forms and improper integrals
Secs. 9.1, 9.2, 9.3, 9.4
- Week 2
- Sequences, series, the integral test
Secs. 10.1, 10.2, 10.3
- Week 3
- Power series, Taylor series
Secs. 10.6, 10.7, 10.8
- Week 4
- Taylor series and Taylor polynomials, numerical integration
Secs. 10.8, 11.1, 11.2
- Week 5
- Newton's method, polar coordinates
Secs. 11.3, 12.6, 12.7,
- Week 6
- Polar coordinates, parametric curves
Secs. 12.8, 13.1
- Week 7
Secs. 13.2, 13.3