Learning expectations for Quiz 3
- You should know all the learning expectations from Quiz 1, Quiz 2, and the midterm in addition to the following...
- Be able to determine if a vector field F(x,y) is conservative, and if so be able to find a potential function f(x,y).
- Know well the logical relationships between the properties
- F(x,y) = P(x,y)i +Q(x,y)j is conservative
- F(x,y) = P(x,y)i +Q(x,y)j satisfies the path independence property
- F(x,y) = P(x,y)i +Q(x,y)j integrates to zero over all loops
- P_{y}(x,y)=Q_{x}(x,y)
- P_{y}(x,y)=Q_{x}(x,y) and the domain is simply connected
- Know Green's theorem.