Lectures
Coordinate free proofs: centroid of a triangle | MIT 18.02SC Multivariable Calculus, Fall 2010 Video lecture Dot products and angles | MIT 18.02SC Multivariable Calculus, Fall 2010 Video lecture Components of a vector | MIT 18.02SC Multivariable Calculus, Fall 2010 Video lecture Area of a parallelogram | MIT 18.02SC Multivariable Calculus, Fall 2010 Video lecture Determinants | MIT 18.02SC Multivariable Calculus, Fall 2010 Video lecture Volume of a parallelepiped | MIT 18.02SC Multivariable Calculus, Fall 2010 Video lecture Finding area using cross products | MIT 18.02SC Multivariable Calculus, Fall 2010 Video lecture Matrix multiplication practice | MIT 18.02SC Multivariable Calculus, Fall 2010 Video lecture Solve a linear system using matrices | MIT 18.02SC Multivariable Calculus, Fall 2010 Video lecture Equations of planes | MIT 18.02SC Multivariable Calculus, Fall 2010 Video lecture Distance of a point to a plane | MIT 18.02SC Multivariable Calculus, Fall 2010 Video lecture Systems of linear equations | MIT 18.02SC Multivariable Calculus, Fall 2010 Video lecture Parametrized lines and intersections | MIT 18.02SC Multivariable Calculus, Fall 2010 Video lecture Parametric line intersecting a plane | MIT 18.02SC Multivariable Calculus, Fall 2010 Video lecture Differentiating a vector valued function | MIT 18.02SC Multivariable Calculus, Fall 2010 Video lecture Parametric curves: velocity, acceleration, length | MIT 18.02SC Multivariable Calculus, Fall 2010 Video lecture Graphing surfaces | MIT 18.02SC Multivariable Calculus, Fall 2010 Video lecture Level curves | MIT 18.02SC Multivariable Calculus, Fall 2010 Video lecture Level curves and critical points | MIT 18.02SC Multivariable Calculus, Fall 2010 Video lecture Partial derivatives | MIT 18.02SC Multivariable Calculus, Fall 2010 Video lecture Tangent plane approximation | MIT 18.02SC Multivariable Calculus, Fall 2010 Video lecture Least squares | MIT 18.02SC Multivariable Calculus, Fall 2010 Video lecture Second derivative test | MIT 18.02SC Multivariable Calculus, Fall 2010 Video lecture Max/Min | MIT 18.02SC Multivariable Calculus, Fall 2010 Video lecture Total differentials and the chain rule | MIT 18.02SC Multivariable Calculus, Fall 2010 Video lecture Tangent planes | MIT 18.02SC Multivariable Calculus, Fall 2010 Video lecture Gradient and directional derivative | MIT 18.02SC Multivariable Calculus, Fall 2010 Video lecture Lagrange multipliers | MIT 18.02SC Multivariable Calculus, Fall 2010 Video lecture Lagrange multipliers (3 variables) | MIT 18.02SC Multivariable Calculus, Fall 2010 Video lecture The chain rule with constraints | MIT 18.02SC Multivariable Calculus, Fall 2010 Video lecture Gradients - composition | MIT 18.02SC Multivariable Calculus, Fall 2010 Video lecture Regions of integration | MIT 18.02SC Multivariable Calculus, Fall 2010 Video lecture Changing the order of integration | MIT 18.02SC Multivariable Calculus, Fall 2010 Video lecture Integration in polar coordinates | MIT 18.02SC Multivariable Calculus, Fall 2010 Video lecture Integrals with density | MIT 18.02SC Multivariable Calculus, Fall 2010 Video lecture Change of variables | MIT 18.02SC Multivariable Calculus, Fall 2010 Video lecture Integral of exp(-x^2) | MIT 18.02SC Multivariable Calculus, Fall 2010 Video lecture Change of variables | MIT 18.02SC Multivariable Calculus, Fall 2010 Video lecture Line integrals: path dependence | MIT 18.02SC Multivariable Calculus, Fall 2010 Video lecture Line integrals: parametrization independence | MIT 18.02SC Multivariable Calculus, Fall 2010 Video lecture Line integrals by geometric reasoning | MIT 18.02SC Multivariable Calculus, Fall 2010 Video lecture Fundamental theorem of line integrals | MIT 18.02SC Multivariable Calculus, Fall 2010 Video lecture Non-conservative vector fields | MIT 18.02SC Multivariable Calculus, Fall 2010 Video lecture Potentials of gradient fields | MIT 18.02SC Multivariable Calculus, Fall 2010 Video lecture Green's Theorem: an off center circle | MIT 18.02SC Multivariable Calculus, Fall 2010 Video lecture Green's Theorem: area under an arch | MIT 18.02SC Multivariable Calculus, Fall 2010 Video lecture Application of Green's theorem | MIT 18.02SC Multivariable Calculus, Fall 2010 Video lecture Flux across a curve | MIT 18.02SC Multivariable Calculus, Fall 2010 Video lecture Green's Theorem in normal form | MIT 18.02SC Multivariable Calculus, Fall 2010 Video lecture Extended Green's Theorem | MIT 18.02SC Multivariable Calculus, Fall 2010 Video lecture Domains of vector fields | MIT 18.02SC Multivariable Calculus, Fall 2010 Video lecture Volume in cylindrical coordinates | MIT 18.02SC Multivariable Calculus, Fall 2010 Video lecture Average height | MIT 18.02SC Multivariable Calculus, Fall 2010 Video lecture Moment of inertia of a cylinder | MIT 18.02SC Multivariable Calculus, Fall 2010 Video lecture Average distance on a sphere | MIT 18.02SC Multivariable Calculus, Fall 2010 Video lecture Gravity and a half-sphere | MIT 18.02SC Multivariable Calculus, Fall 2010 Video lecture Flux through easy surfaces | MIT 18.02SC Multivariable Calculus, Fall 2010 Video lecture Flux through a square | MIT 18.02SC Multivariable Calculus, Fall 2010 Video lecture Flux through surfaces | MIT 18.02SC Multivariable Calculus, Fall 2010 Video lecture Flux | MIT 18.02SC Multivariable Calculus, Fall 2010 Video lecture Flux and the divergence theorem | MIT 18.02SC Multivariable Calculus, Fall 2010 Video lecture Extended Gauss' Theorem | MIT 18.02SC Multivariable Calculus, Fall 2010 Video lecture Del and the product rule | MIT 18.02SC Multivariable Calculus, Fall 2010 Video lecture Line integral on a helix | MIT 18.02SC Multivariable Calculus, Fall 2010 Video lecture Conservative fields and exact differentials | MIT 18.02SC Multivariable Calculus, Fall 2010 Video lecture Stokes' Theorem | MIT 18.02SC Multivariable Calculus, Fall 2010 Video lecture Extended Stokes' Theorem | MIT 18.02SC Multivariable Calculus, Fall 2010 Video lecture Simply connected regions | MIT 18.02SC Multivariable Calculus, Fall 2010 Video lecture More Stokes' Theorem | MIT 18.02SC Multivariable Calculus, Fall 2010 Video lecture Consequences of Stokes' Theorem | MIT 18.02SC Multivariable Calculus, Fall 2010 Video lecture