MAT 201H - Calculus and Analytic Geometry 3 - Honors

4 credit hours - Four hours weekly; one term.
This is an honors course.

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): Eligibility for Honors Courses and MAT 192 or equivalent.

Crosslisted: Also offered as MAT 201 ; credit is not given for both MAT 201 and MAT 201H.

Location(s) Typically Offered: Arnold Main Campus (MC) and Online (OL)

Term(s) Typically Offered: Fall, spring, and summer

Course Outcomes:
Upon successful completion of this course, students will be able to:

Analyze curves and surfaces using partial differentiation, directional derivatives, and the gradient operator.
Analyze space curves, including their curvature and arclength, as well as the velocity and acceleration of an object on a curve.
Solve optimization problems in several variables.
Extend integration to multivariate functions for applications including finding areas, volumes, and moments.
Apply the curl and divergence operators to vector fields.
Calculate the circulation of a vector field around the boundary of a plane region with and without Green’s Theorem.
Calculate the circulation of a vector field around the boundary of a surface with and without Stokes’ Theorem.
Calculate the flux of a vector field through a closed surface with and without the Divergence (Gauss’) Theorem.