MATH 280 - Multivariable Calculus
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.
4 semester hours
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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