Text: Varberg, Purcell and Rigdon, *Calculus*.

Professor: W. Farr, 109B Stratton, X5496, E-mail - bfarr.

Office Hours: MTThF 10-11 , or by appointment.

TA: Fu Yan

PLAs: Matt Cheung, David LeRay, Sabin Thomas, Airel Sosa, Ryan Sternberg, Paul Whitford

Web site:

`http://www.math.wpi.edu/Course_Materials/MA1023D03/`

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.

- Laboratories.

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 Friday before the lab period.

- Examinations.

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 24, April 14, and the final exam will be on April 28 and 29. All exams will be during our normal class time. Make-ups for missed exams will not be given without prior arrangement with me.

- Homework.

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 should 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.

In addition, one problem per assignment will be selected for a more complete write-up. The idea here is to write up the problem as if you were explaining your solution to another student in the class. Examples and more details will be handed out separately.

**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**- Vectors

Secs. 13.2, 13.3

2003-03-10