Calculus 3 (MATH 2251)

• Review of conic sections and polar coordinates.
• Three dimensional coordinate systems, vectors, dot and cross product, equations of lines and planes, cylindrical and quadric surfaces.
• Functions of several variables, partial derivatives, tangent planes and linear approximation, chain rule, directional derivatives and gradient vector, optimization and Lagrange multipliers.
• Double integrals over rectangles, iterated integrals, double integrals over general regions and in polar coordinates, applications of double integrals, triple integrals in cylindrical and spherical coordinates, change of variables in multiple integrals.
• Vector calculus: vector fields, line integrals, Fundamental Theorem of Line Integrals, Green's Theorem.

This course is offered as part of a VCC program only.