MATH 280 - Multivariable Calculus

CE-R

Calculus of vector functions; analytic geometry of space; partial differentiation; multiple integrals; classical theorems of Green, Gauss, and Stokes. PREREQUISITE(S): A grade of C or better in MATH 182 or equivalent, or consent of department. For computation of tuition, this course is equivalent to five semester hours. Five hours each week. Formerly MA 280.

4 semester hours

Course Outcomes:
Upon course completion, a student will be able to:

Describe surfaces parametrically in three-dimensional space and find an equation of a plane.
Describe and recognize graphs of vector functions and space curves.
Evaluate limits of functions of several variables.
Find equations of tangent planes to surfaces.
Use and apply the Chain rule for derivatives of functions of several variables.
Use LaGrange’s Multipliers method to optimize functions of several variables with additional constraints.
Find volumes of solids bounded by surfaces.
Change the order of integration and compute double and triple integrals.
Determine the surface area of the graph of a function of several variables.
Use the Fundamental Theorem of Line Integrals and Green’s Theorem to compute line integrals.
Compute the divergence and curl of a vector function.
Use the Divergence Theorem and Stoke’s Theorem to compute surface integrals.
Use a Computer Algebra System to graph, and solve problems about, functions of several variables, vector valued functions, and vector fields.

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