136.270

Calculus IIIA, Fall 2003

Instructor: Sasho Kalajdzievski

357 Machray Hall; Phone: 474-6929; e-mail: sasho@cc.umanitoba.ca

Web pages:

1. http://server.maths.umanitoba.ca/homepages/sasho/

(courses; new and old)

2. http://server.maths.umanitoba.ca/homepages/sasho/courses/270/270.html

(this course)

3. Discussion Page (a link can be found in the above pages; a place to ask questions and get answers; check it out)

4. WebMathematica Page (a link can be found in the above pages or through the main webMathematica page at http://home.cc.umanitoba.ca:8080/webMathematica/MY.html; the page will be equipped with interactive mathematical scripts related to this course; check it out.)

Office Hours: Mondays 9:50-10:20, Tuesdays 10:00 -11:00 A.M. or by appointment.

Text: Calculus - Early Transcedentals, by James Stewart, Fourth Edition (be careful: there is another textbook by Stewart called Single Variable Calculus - Early Transcedentals that looks the same as our text but missing the last chapters of it - the ones we need).

Evaluation: The final grade will be calculated according to the following formula:

1. 4 take-home assignments, each worth 2.5% for a total of 10%.

2. A mid-term test, to be given on Monday, October 27th, 5:30-6:30 pm.; it is worth 30% (place to be announced in class)

3. A final exam given in December, worth 60%.

Course Outline:

Review (sections 12.1 - 12.5)

12.6 Quadric Surfaces

12.7 Cylindrical and Spherical Coordinates

13.1-13.3 Vector Functions, Derivatives and Integrals of Vector Functions, Arc Length, Curvature

13.4 Motion in Space (briefly)

14.1-14.8 Functions of several variables; this chapter is the core of the course.

15.1-15.6 Double Integrals (Sections 15.5 and 15.6 will be covered partially).

16.1-16.4 Vector Fields, Line Integrals and Greens Theorem.

Voluntary Withdrawal: November 12, 2003 is the last date for voluntary withdrawal .

Academic Regulations and Policy: You are advised to read the Academic Regulations and Policy section in the General Calendar, particularly the items on Plagiarism and Cheating.