Montgomery College 2022-2023 Catalog 
    
    Feb 01, 2023  
Montgomery College 2022-2023 Catalog
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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.

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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