Multi-variables Calculus - UQU

1 Vectors: / Cartesian coordinates in three-Space, / Vectors, / The dot product, / The cross product, / Vector-valued functions, / Lines and tangent lines in space / Cylindrical and spherical coordinates 2 Functions of several variables: / Functions of two or more variables, / Partial derivatives, / Limits and continuity / Differentiability, / Directional derivatives and gradients, / The chain rule, / Maxima and Minima 3 Multiple integrals and their applications: / Double integrals over rectangles, / Iterated integrals, / Double integrals over Nonrectangular regions, / Double integrals in polar coordinates, / Applications of double integrals, / Surface area, / Triple integrals in cartesian coordinates, / Triple integrals in cylindrical and spherical coordinates, / Change of variables in Multiple integrals 4 Vector calculus: / Vector fields, / Line integrals, / Independence of path, / Green’s theorem in the plane