MATH 2401: WEEK 13

Topics for this week are:

• Green's theorem
• Parametric surfaces, normals, surface area

Text coverage:     Sections 17.5 - 17.6 of Salas, Hille, and Etgen

Reference:   These topics are also discussed in Chapter 15, Surfaces Revisited and Chapter 17, Gauss and Green, of the Cain-Herod textbook.

Online resources:

• Maple Worksheets
  • Surface Area, Centroids, Moments of Inertia.
• Solved Problems
  • Chapter 15, Section 1
  • Chapter 15, Section 2
  • Chapter 17, Section 1
  • Chapter 17, Section 2
  • Chapter 17, Section 3
• Additional Notes (by Prof. Carlen)
  • Work and flux in two dimensions.
• Projects
  • Green's theorem and centroids.
  • Three dimensional plots.

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