MAT 201 - Calculus and Analytic Geometry 3

4 credit hours - Four hours weekly; one term.
This course meets the Mathematics General Education Requirement

Extend the ideas of limits, differentiation and integration to two or more dimensions. Study vectors and vector functions, partial differentiation, gradients, directional derivatives and tangent planes, optimization, Lagrange multipliers, iterated integration, line and surface integrals, and the classical theorems of Green, Gauss and Stokes.

Prerequisite(s): MAT 192 or equivalent.

Crosslisted: Also offered as MAT 201H ; credit is not given for both MAT 201 and MAT 201H . Typically offered at MC and OL; fall, spring, and summer terms.

Course Outcomes:

Analyze surfaces using partial differentiation and the gradient operator.
Analyze space curves including their curvature, arc length, velocity, and acceleration.
Find areas, volumes, and moments using multiple integrals.
Solve optimization problems in several variables.
Combine the concepts of surfaces, space curves and vector fields into multiple integrals and surface integrals.
Calculate the circulation of a vector field around a plane region with and without Green’s theorem.
Calculate the circulation of a vector field around the edge of a surface with and without Stokes’ theorem.
Calculate the flux of a vector field through a closed surface with and without Gauss’ divergence theorem.