ModelCourses/Calculus/VectorCalculus/LineIntegrals

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