MATH 1712: WEEK 14

Topics for this week are:

• Total Differentials
• Double Integrals
• Applications of Double Integrals

Objectives for this week:

• Use total differentials to estimate the change in a function of several variables
• Evaluate double integrals
• Find the volume of a given solid using double integration

Text coverage:     Sections 8.6 - 8.8 of S. Tan.

Online resources:

• Week 14 Formula Sheet
• Week 14 Practice Problems
• Maple Worksheets
  • Evaluating Double Integrals: This worksheet introduces the commands for computing double integrals using Maple. An example dealing with average value is also presented.
• Java Projects
  • Two dimensional integration in Cartesian coordinates with Riemann sums: This applet on this page is designed for experimenting with Cartesian integration in two dimensions.

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Last Modified: . School of Mathematics, Georgia Institute of Technology.