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Line integrals and applications

  • Line Integrals of a scalar function
    • Simple computations with respect to ds, dx, dy and dz
    • Application to Total Mass and Lateral Surface Area
  • Line Integrals over a vector field
    • Simple computations
    • Application to Work
  • The Fundamental Theorem of Calculus for Line Integrals
    • Relationship with conservative fields and independence of path.
  • Green's Theorem
    • Simple calculations
    • Changing orientations, holes
    • Applications in Physics