1
Double Integrals and Green’s Theorem
This unit is based on Sections 9.10 through 9.12 , Chapter 9.
All assigned readings and exercises are from the textbook
Objectives
:
Make certain that you can define, and use in context, the terms,
concepts and formulas listed below:
•
evaluate double integrals in Cartesian and polar
•
Use double integrals to evaluate area, volume, center of mass,
moment of inertia,…etc.
•
use Green’s theorem to convert a line integral along a boundary
of a into a double integral, and to convert a double integral to a
line integral along the boundary of a region
•
use Green’s theorem to evaluate line integrals, and to determine
work, area and moment of inertia.
Reading
:
Read Section 9.10 - 9.12, pages 505-524.
Exercises
:
Complete problems

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