Spring 2009 MATH 055 Calculus III (Multivariable Calculus)

Department of Mathematics. University of the Pacific.

 

 

Syllabus (This file contains my personal information, office hours, text, grading policy, etc.)

 

We will make use of some animations that can be found in Professor Paul Blanchard web page at http://math.bu.edu/people/paul/

 

Supplemental Instructor: Andre Bayati email address: a_bayati@pacific.edu

Andre will meet with students on Thursdays from 6:00 to 7:00 pm in WPC 119.

 

Before an exam Andre will survey the class to accommodate the students need to add a second session if necessary.

 

Andre will have an extra hour this Thursday February 5, from 3:00 to 4:00 pm in the study area of the Department of Mathematics, Classroom Building 103.

 

Homework Assignments

 

Quizzes

 

Exams

 

Group Work

 

Mathematica notebooks with special visualizations shown in class

 

Lectures: PowerPoint presentations with the slides for each lecture are posted on Blackboard at: https://pacific.blackboard.com

 

Videos made in class with a Flip camcorder

 

Review of techniques of integration from Calculus II. ReviewIntegration.pdf

 

The following videos show skiers skiing down on mountains. The trajectory of the skier can be described by a vector function r(t) = <x(t), y(t), z(t)>, that is, a 3 dimensional curve that (most of the time) lies on the surface of the mountain. The skis point in the direction of the directional derivative at any given point. Do these people go down on the steepest slope?

 

Video 1: http://www.youtube.com/watch?v=Ut1kGmOhzWQ

 

Video 2: http://www.youtube.com/watch?v=hMhBbmE92v8&feature=related

 

April 25: Solution to Problem 31 from Section 15.3 (from Homework Assignment 21): Problem31Section153.pdf  The volume and the region of integration can be plotted with this Mathematica program: Problem31153.nb Question: can you solve this problem using triple integrals?

 

April 29: Remember that if you kick someone on the center of mass is like kicking them all over the place.