CALCULUS 3: Multivariable Calculus
52 videos • 1,393 views • by Professor Reginald 1. Three-Dimensional Coordinate Systems 2. Vectors 3. The Dot Product 4. The Cross Product 5. Lines and Planes in Space 6. Surfaces in Space 7. Space Curves and Vector-Valued Functions 8. Calculus of Vector-Valued Functions 9. Arc Length, Curvature, and Torsion of a Space Curve 10. Motion Along a Space Curve 11. Functions of Several Variables 12. Limits and Continuity 13. Partial Derivatives 14. Linear Approximations and Differentials 15. The Chain Rule 16. Directional Derivatives and the Gradient Vector 17. Tangent Planes and Normal Vectors *Maximum and Minimum Values *Lagrange Multipliers *Double Integrals *Double Integrals in Polar Coordinates *Center of Mass and Moments of Inertia *Surface Area *Triple Integrals *Triple Integrals in Cylindrical Coordinates *Triple Integrals in Spherical Coordinates *Change of Variables in Multiple Integrals *Vector Fields *Line Integrals *Independence of Path and Conservative Vector Fields *Green's Theorem *Curl and Divergence *Parametric Surfaces *Surface Integrals *Divergence Theorem *Stokes's Theorem