Notes and Videos
DoubleIntegrals.pdf (Sec 15.1 and 15.2) *Video
Quick Intro/Review of Polar Coordinate Graphing
DoublePolarIntegrals.pdf *Video
PolarReversingOrder.pdf *Video
RectangularTripleIntegrals.pdf *Video
*Video - Moments and Finding the Center of Mass of a Thin Plate (21B)
MomentsCenterOfMass.pdf (for thin plates and 3D solids) *Video (Moments and Center of Mass)
CylindricalAndSphericalCoordinates.pdf *Mistake x = rho*sin(phi)*cos(theta)
*Video (Cylindrical Coordinates) *Video (Spherical Coordinates)
Jacobian.pdf *Video (Part 1) *Video (Part 2)
Vector-Valued Functions and Motion in Space (Circles)
UnitTangentNormalCurvature.pdf (Chp 13.3, 13.4)
ArcLength(Problems).pdf (Book Problems from 13.3)
UnitTangentNormal(Problems).pdf (Book Problems from 13.4)
TorsionBinormalVector.pdf (Sec 13.5)
VectorMotionPolarCoordinates.pdf (Sec. 13.6)
CirculationWorkFlux.pdf *Video (Circulation) *Video (Flux Across a Curve)
ConservativeFieldPathIndependence.pdf *Video
GreensTheorem(CirculationForm).pdf *Video
FluxAcrossPlane.pdf (using Green's Theorem) *Video
CenterOfMassMoments.pdf (for thin shells)
Stokes.pdf *Video (Part 1) Part 2
VerifyingDivergenceTheorem.pdf
Practice Problem Sets
PS1(Double Integrals) Solutions
PS2(PolarIntegrals).pdf PS2(solutions).pdf
PS3(TripleIntegralsMoments).pdf Solutions
PS4(CylindricalAndSpherical).pdf PS4(Solutions).pdf
PS5(Jacobian).pdf PS5(Solutions).pdf
PS6(VectorFunctionsProjectileMotion).pdf (Chp 13.1 and 13.2)
PS7(ArcLengthCurvatureNormalVector).pdf PS#7 (Solutions)
PS8(LineIntegrals).pdf PS8(Solutions).pdf (Sec 16.1)
PS9(VectorFieldsWorkCirculationFlux).pdf (Sec 16.2) PS9(Solutions)
PS10(ConservativeFields).pdf (Sec 16.3) PS#10(Solutions)
PS11(GreensTheorem).pdf (Sec 16.4) PS#11 (Solutions)
PS12(SurfaceIntegrals).pdf (Sec 16.5 and Sec 16.6) PS#12 (Solutions)
PS13(StokesTheorem).pdf PS#13 (Solutions)
Test Practice