MTH-2200 - Calculus III* (4)

Prerequisite: MTH-1210
This course is a continuation of MTH-1210 and is an introduction to multivariable calculus. Topics include vectors and the geometry of space, vector-valued functions, multivariable functions and their geometry, partial differentiation, multiple integration in rectangular, cylindrical and spherical coordinates and vector analysis that includes Green, Stokes, and the Divergence Theorems. Some topics are supported by computer software.

List Course Outcomes (consistent for all sections)
CO1 - Apply the methods of dot product and cross product in order to solve second- and third- dimension vector problems.

CO2 - Apply the methods and concepts of arc length, curvature, normal vectors and tangent vectors to vector functions in order to solve vector in motion problems.

CO3 - Apply the concepts of calculus, including partial derivatives and gradients, to multivariable functions in order to solve optimization problems and to make linear approximations.

CO4 - Apply the concepts of integration to multivariable functions in order to calculate mass, center of mass, moments of inertia and volume of three-dimensional objects.

CO5 - Apply the concepts of calculus, including derivatives, limits, continuity and integration, to vector functions in order to form vector fields, use the operations of curl and divergence and to solve Fundamental Theorem of Calculus problems.

CO6 - Apply multivariable calculus concepts in order to solve application problems.