MATH& 163 - Calculus 3

5 Credits
This third course in the calculus sequence covers vectors, series, and multivariable functions, as well as partial derivatives and differentiation.

Prerequisite(s): Completion of MATH& 152 with a 2.0 or higher, or equivalent course.

Course Outcomes

Describe lines, planes, cylinders, vector functions, and quadric surfaces in 3D coordinate systems.
Compute limits, derivatives, and integrals of vector functions with applications to arc length, curvature, and physics.
Find domains and limits of multivariable functions.
Compute and interpret partial derivatives, expanding applications of the chain rule from earlier studies.
Calculate extrema to optimize multivariable functions, including the use of Lagrange Multipliers.
Calculate and apply differentials of multivariable functions.
Evaluate and use double integrals: over rectangles, over general regions, and in polar coordinates.
Evaluate first-, second- and higher-order Taylor polynomials and series.
Communicate using mathematical notation and language.