MATH 2401: WEEK 12

Topics for this week are:

• Vector Fields
• Line integrals, work
• Line integrals, conservation of energy
• Path independence and conservative fields

Text coverage:     Sections 17.1 - 17.4 of Salas, Hille, and Etgen

Reference:   These topics are also discussed in Chapter 14, One Dimension Again, of the Cain-Herod textbook.

Online resources:

• Maple Worksheets
  • Flux and circulation in two dimensions: Typical applications of the line integral.
• Solved Problems
  • Chapter 14, Section 1
  • Chapter 14, Section 2
  • Chapter 14, Section 3
• Additional Notes (by Prof. Carlen)
  • Paths, parametrized curves and parameterization.
  • Tangent and normal vectors of curves in the plane.
  • Vector fields and line integrals in two dimensions.
• Projects
  • Line Integrals.

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