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What vector fields are, and they look like. Calculus 3 lecture 153. How to compute line integrals (and over nonconservative vfields).
An introduction and techniques of computation. The techniques of solving double integrals with a focus on how to construct integral over given region. How (and why) to change into coordinates and perform the resultant.
Discovering vectors with focus on adding, subtracting, position vectors, unit and magnitude. Calculus 3 lecture 147. An explanation of what divergence and curl mean how to find them for vector fields.
Line integrals on conservative vector fields (independence of path). A study of point relationships and vectors in 3d. Emphasis on position vectors, magnitude, un.