2012-2013 Catalog 
    Mar 25, 2023  
2012-2013 Catalog [ARCHIVED CATALOG]

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MATH& 254 - Calculus IV

5.0 Credits
Partial differentiation, multiple integration, vector fields, line and surface integrals, Green's Theorem, Stokes' Theorem, Divergence Theorem, and applications (was MATH 251). Prerequisite: MATH& 153  (was MATH 153) or equivalent, with a grade of 2.0 or higher.

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

  1. Apply the chain rule for multivariable functions. [REASON]
  2. Compute the gradient and apply it to find equations of tangent lines and planes and to compute directional derivatives for multivariable functions. [REASON]
  3. Find extreme values of multivariable functions, with or without constraints. [REASON]
  4. Compute and apply double and triple integrals. [REASON]
  5. Change variables in multiple integrals, including changing from rectangular coordinates to polar, cylindrical, or spherical coordinates. [REASON]
  6. Use vector and scalar fields appropriately, particularly when computing a gradient, curl, or divergence. [REASON]
  7. Use and compute line and surface integrals. [REASON]
  8. Apply Green's Theorem, Stokes' Theorem and the Divergence Theorem. [REASON]

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