Text: Varberg, Purcell and Rigdon, Calculus.
Professor: W. Farr, 109B Stratton, X5496, E-mail - bfarr.
Office Hours: MTThF 10-11:30 , or by appointment.
TAs: Becky Wasyk
PLAs: Matt Hilt, Jeffrey Savard, Sid Bhojnagarwala, Sabin Thomas, Ben
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 5 labs during the
term, totaling 20% of
your final grade.
This term the labs will be handled differently than they have in the
past. Lab reports will be due the same day the lab is introduced. To
accomplish this, the labs will be shorter than in previous terms
and 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 Friday before the lab period.
There will be two hour exams and a two-hour comprehensive final . Each
hour exam will count for 20% of your final
grade and the final exam will count for 30% of your final
grade. Together, these exams will count for 70% of your final grade.
Tentative dates for the exams are March 26, April 16, and
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 10%
of your final grade.
- 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
- Convergence tests, power series
Secs. 10.4, 10.5, 10.6
- Week 4
- Taylor series and Taylor polynomials, numerical integration
Secs. 10.7, 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
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