| Course Description : | Three dimensional space rectangular coordinates in 3-space; vectors: dot product, , cross product, parametric equations of lines. planes in 3-spaces; vector -valued functions: calculus of vector valued functions, arc length, curvature, functions of two or more variable: domain, limits, and continuity; partial derivatives; differentiability; total differentials; the chain rule; the gradient; directional derivatives; tangent planes; normal lines maxima and minima of functions of two variables; Lagrange multipliers; multiple integrals: double integral, double integrals in polar coordinates; triple integrals; triple integrals in cylindrical and spherical coordinates. |