Calculus III

Catalog description

MAT 240 is the final course in the three-course sequence that is the standard complete introduction to the concepts and methods of calculus. The emphasis is on concepts and solving problems rather than on theory and proof. The course presents the concepts of calculus from three points of view: geometric, numeric, and algebraic. Topics typically include multivariable functions; contour diagrams and cross-sections; vectors; the dot product and the cross product; vector projection; partial derivatives; the gradient; directional derivatives; local linearity; local extrema and critical points; double integrals in Cartesian and polar coordinates; triple integrals in Cartesian; cylindrical, and spherical coordinates; parametric curves; vector fields; line integrals; gradient fields, path-independence, and the Fundamental Theorem of Calculus for Line Integrals; Green's Theorem; flux integrals; and the Divergence Theorem and Stokes' Theorem. Prerequisite: MAT 230.