视频选集 Lec 1 Dot product Lec 2 Determinants cross product Lec 3 Matrices inverse matrices Lec 4 Square systems equations of planes Lec 5 Parametric equations for lines and curves Lec 6 Velocity acceleration Keplers second law Lec 7 Review Lec 8 Level curves partial derivatives tangent plane Lec 9 Maxmin problems least squares Lec 10 Second derivative test boundaries infinity Lec 11 Differentials chain rule Lec 12 Gradient directional derivative tangent plane Lec 13 Lagrange multipliers Lec 14 Nonindependent variables Lec 15 Partial differential equations review Lec 16 Double integrals Lec 17 Double integrals in polar coords applications Lec 18 Change of variables Lec 19 Vector fields and line integrals in the plane Lec 20 Path independence and conservative fields Lec 21 Gradient fields and potential functions Lec 22 Greens theorem Lec 23 Flux normal form of Greens theorem Lec 24 Simply connected regions review Lec 25 Triple integrals in rectangular cylindrical Lec 26 Spherical coordinates surface area Lec 27 Vector fields in 3D surface integrals flux Lec 28 Divergence theorem Lec 29 Divergence theorem cont applications proof Lec 30 Line integrals in space curl exactness Lec 31 Stokes theorem Lec 33 Topological considerations Maxwells equations Lec 34 Final review Lec 35 Final review cont
