Vectors, lines, dot product, projection, matrices/determinants, distances, cross product
More cross product
Gradients and directional derivatives, acceleration and Newton's law, arc length
Practice problems
Divergence and curl, the double integral
Double integrals over more general regions, changing the order of integration, triple integrals
Change of variables theorem, path integrals, line integrals of vector fields
Triple integrals and line integrals of vectors fields
Green's theorem
Worksheet 1
Worksheet 1 (solutions)
Worksheet 2
Worksheet 2 (solutions)
Worksheet 3
Worksheet 3 (solutions)
Worksheet 4 (solutions)
Line integrals and Green's Theorem worksheet