Lectures
Lec 1: Dot product | MIT 18.02 Multivariable Calculus, Fall 2007 Video lecture Lec 2: Determinants; cross product | MIT 18.02 Multivariable Calculus, Fall 2007 Video lecture Lec 3: Matrices; inverse matrices | MIT 18.02 Multivariable Calculus, Fall 2007 Video lecture Lec 4: Square systems; equations of planes | MIT 18.02 Multivariable Calculus, Fall 2007 Video lecture Lec 5: Parametric equations for lines and curves | MIT 18.02 Multivariable Calculus, Fall 2007 Video lecture Lec 6: Velocity, acceleration; Kepler's second law | MIT 18.02 Multivariable Calculus, Fall 2007 Video lecture Lec 7: Review | MIT 18.02 Multivariable Calculus, Fall 2007 Video lecture Lec 8: Level curves; partial derivatives; tangent plane | MIT 18.02 Multivariable Calculus, Fall 07 Video lecture Lec 9: Max-min problems; least squares | MIT 18.02 Multivariable Calculus, Fall 2007 Video lecture Lec 10: Second derivative test; boundaries & infinity | MIT 18.02 Multivariable Calculus, Fall 2007 Video lecture Lec 11: Differentials; chain rule | MIT 18.02 Multivariable Calculus, Fall 2007 Video lecture Lec 12: Gradient; directional derivative; tangent plane | MIT 18.02 Multivariable Calculus, Fall 07 Video lecture Lec 13: Lagrange multipliers | MIT 18.02 Multivariable Calculus, Fall 2007 Video lecture Lec 14: Non-independent variables | MIT 18.02 Multivariable Calculus, Fall 2007 Video lecture Lec 15: Partial differential equations; review | MIT 18.02 Multivariable Calculus, Fall 2007 Video lecture Lec 16: Double integrals | MIT 18.02 Multivariable Calculus, Fall 2007 Video lecture Lec 17: Double integrals in polar coords; applications | MIT 18.02 Multivariable Calculus, Fall 2007 Video lecture Lec 18: Change of variables | MIT 18.02 Multivariable Calculus, Fall 2007 Video lecture Lec 19: Vector fields and line integrals in the plane | MIT 18.02 Multivariable Calculus, Fall 2007 Video lecture Lec 20: Path independence and conservative fields | MIT 18.02 Multivariable Calculus, Fall 2007 Video lecture Lec 21: Gradient fields and potential functions | MIT 18.02 Multivariable Calculus, Fall 2007 Video lecture Lec 22: Green's theorem | MIT 18.02 Multivariable Calculus, Fall 2007 Video lecture Lec 23: Flux; normal form of Green's theorem | MIT 18.02 Multivariable Calculus, Fall 2007 Video lecture Lec 24: Simply connected regions; review | MIT 18.02 Multivariable Calculus, Fall 2007 Video lecture Lec 25: Triple integrals in rectangular & cylindrical | MIT 18.02 Multivariable Calculus, Fall 2007 Video lecture Lec 26: Spherical coordinates; surface area | MIT 18.02 Multivariable Calculus, Fall 2007 Video lecture Lec 27: Vector fields in 3D; surface integrals & flux | MIT 18.02 Multivariable Calculus, Fall 2007 Video lecture Lec 28: Divergence theorem | MIT 18.02 Multivariable Calculus, Fall 2007 Video lecture Lec 29: Divergence theorem (cont.): applications & proof | MIT 18.02 Multivariable Calculus, Fall 07 Video lecture Lec 30: Line integrals in space, curl, exactness... | MIT 18.02 Multivariable Calculus, Fall 2007 Video lecture Lec 31: Stokes' theorem | MIT 18.02 Multivariable Calculus, Fall 2007 Video lecture Lec 32: Stokes' theorem (cont.); review | MIT 18.02 Multivariable Calculus, Fall 2007 Video lecture Lec 33: Topological considerations; Maxwell's equations | MIT 18.02 Multivariable Calculus, Fall 07 Video lecture Lec 34: Final review | MIT 18.02 Multivariable Calculus, Fall 2007 Video lecture Lec 35: Final review (cont.) | MIT 18.02 Multivariable Calculus, Fall 2007 Video lecture