Multivariable Calculus Worksheets

This PDF book covers the following topics related to
Multivariable Calculus : Curves Defined by Parametric Equations, Tangents,
Areas, Arc Lengths, and Surface Areas, Polar Coordinates, Vectors, Dot Products,
Cross Products, Lines and Planes, Quadric Surfaces, Vector Functions and Space
Curves, Cross Products and Projections, Functions of Several Variables, Limits
and Continuity, Partial Derivatives, Tangent Planes and Differentials, The Chain
Rule, Directional Derivatives and the Gradient Vector, Maximum and Minimum
Values, Lagrange Multipliers, Double Integrals over Rectangles, Double Integrals
over General Regions, Double Integrals in Polar Coordinates, Applications of
Double Integrals, Surface Area, Triple Integrals in Cartesian, Spherical, and
Cylindrical Coordinates, Change of Variable in Multiple Integrals, Gravitational
Potential Energy, Vector Fields, Line Integrals, etc.

**Author(s):** Department of Mathematics, University of
California at Berkeley

74 Pages