Home »Calculus »MIT » Multivariable Calculus

Multivariable Calculus

Lecture 16: Double integrals

Download:   MP4,FLV & 3GP 6140 views

SEE: Guide to Download MIT Video Lecture

Course Description :

Dot product - Determinants - cross product - Matrices - inverse matrices - Square systems - equations of planes - Parametric equations for lines and curves - Velocity, acceleration - Keplers second law - Review - Level curves - partial derivatives - tangent plane approximation - Max-min problems - least squares - Second derivative test; boundaries and infinity - Differentials; chain rule - Gradient; directional derivative; tangent plane - Lagrange multipliers - Non-independent variables - partial differential equations - Double integrals - Double integrals in polar coordinates - applications

Change of variables - Vector fields and line integrals in the plane - Path independence and conservative fields - Gradient fields and potential functions - Greens theorem - Flux; normal form of Greens theorem - Simply connected regions -Triple integrals in rectangular and cylindrical coordinates - Spherical coordinates; surface area - Vector fields in 3D - surface integrals and flux - Divergence theorem - Line integrals in space, curl, exactness and potentials - Stokes theorem -Topological considerations - Maxwells equations - Final review

Other Resources :

Handouts | Citation |

These free video lectures are licensed under a Creative Commons License by MIT OCW

Other Calculus Courses

» check out the complete list of Calculus lectures          


Amazon Free Kindle Ebooks


Post your Comments