## MA 1024Calculus 4 B term 2001

Text: Varberg, Purcell and Rigdon, Calculus.

Professor: W. Farr, 109B Stratton, X5496, E-mail - bfarr.
Office Hours: MTWThF 10-11, 2-3 , or by appointment.
PLAs: Matt Hilt, Ryan Sternberg

### Course Goals

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 Mondays where you will work in pairs on lab exercises designed to help you explore the calculus concepts we are struggling with. There will be 5 labs during the term, totaling 15% of your final grade. Attendance is required, since you will be completing and turning in the labs during the lab period.

• Examinations.
There will be three hour exams. These exams will be similar to the homework, but may include lab-related questions. Each exam will count for 25% of your final grade. Together, these exams will count for 75% of your final grade.

Tentative exam dates are Nov. 16, Dec. 7, and Dec. 18.

• Homework.
Problems from the text will be assigned weekly to give you practice with basic manipulation and to prepare you for the labs and projects. Doing these problems regularly is essential to your understanding of the material. Homework will be collected and spot-graded. Homework scores will count as 10% of your final grade.

### Topics to be covered this term.

Week 1
Vector functions of a single variable
Secs. 13.4,13.5,14.1,14.2

Week 2
Tangential and Normal vectors, curvature, surfaces
Secs. 14.3,14.4,14.5,14.6

Week 3
Coordinates, partial derivatives
Secs. 14.7,15.1,15.2

Week 4
Limits and differentiability, directional derivatives, gradient
Secs. 15.3,15.4,15.5,15.6

Week 5
Extrema, double integrals
Secs. 15.7,15.8,16.1

Week 6
More on double integrals
Secs. 16.2, 16.3, 16.4

Week 7
Applications and Triple integrals
Secs. 16.5, 16.7, 16.8

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William W. Farr
2001-10-26