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.
Prerequisite MATH& 153 or equivalent, with a grade of 2.0.
Course-level Learning Objectives (CLOs)
Upon successful completion of this course, students will be able to:

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