2018-2019 Academic Catalog 2017-2018 Academic Catalog [ARCHIVED CATALOG] 2015-2016 Academic Catalog [ARCHIVED CATALOG] 2014-2015 Academic Catalog [ARCHIVED CATALOG] 2016-2017 Academic Catalog [ARCHIVED CATALOG] 2013-2014 Catalog [ARCHIVED CATALOG] 2012-2013 Catalog [ARCHIVED CATALOG] 2011-2012 Catalog [ARCHIVED CATALOG] 2010-2011 Catalog [ARCHIVED CATALOG] Policy Management Edmonds CC Glossary 2008-2010 Archived Catalog [ARCHIVED CATALOG] Student Handbook
Mar 18, 2019

# 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:

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