Integration and Vector Fields.

 

 

• Line integrals.
• Definition and properties.
• Mass of a wire, moments and center of mass.
• Vector Fields, Work, Circulation and Flux.
• Gradient field.
• Work of a force.
• Flow, circulation and flux.
• Green's theorem in the plane.
• Surface integrals and Surface area.
• Surface area.
• Surface integral.
• Special formulas for Surface Area.
• Mass of a thin shell, moments and center of mass.
• Orientation of a surface.
• Flux across an oriented surface.
• The Divergence theorem.
• Stoke's theorem.
• Conservative Fields, Potential Function.