Multivariable Calculus III Tutorials |

Calculus is one of the greatest achievements of all of human intellect... Hughes/Hallett |

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My Short Lectures:Lecture 1: Coordinates & Level SetsLecture 2: Linear functions in Space Lecture 2a: Linear Plane Addendum Lecture 3: Limit of function DNE Lecture 4: Vector Dot Product & Projections Lecture 5: Vector Cross Product Lecture 6: Partial Derivatives Lecture 7: Linearization and Differentials Lecture 8: Directional Derivative Lecture 9: Optimization (Unconstrained) Lecture 9a: Optimization (Constrained) - Lagrange Lecture 10: Cylindrical & Spherical Coordinate Systems Lecture 11: Change of Variable (Jacobian) Lecture 12: Parameterization (Curves) Lecture 13: Parameterization (Surfaces) Lecture 14: Line & Surface Integrals (Introduction) Lecture 15: Line Integral (scalar) Lecture 16: Line Integral (vector) more to come ... Gradient, Green, Stokes, Divergence Theorems Lecture 20: Nature of the Fundamental Theorems of Calculus (in 3 colors) Lecture 21: Verifying The Fundamental Theorem for Line Integrals (helix) Lecture 22: Big Picture of Calculus (popular) |

Videos by Khan Academy are strongly recommended: khanacademy.org |