MTH 254 - Calculus IV (Vector Calculus)

5 Credit(s)

Prerequisite(s): MTH 252 or permission of Instructor.

Recommended Prerequisite(s): MTH 253

Course Description: The fourth course in the calculus sequence for science, mathematics, and engineering majors. Includes vector-valued functions, functions of several variables, partial differentiation, multiple integration, and vector analysis.

Course Level: Lower Division Collegiate

Course Learning Outcomes:

CLO#1: Graph 3D and level curves by hand and using technology (i.e. GeoGebra) (ILO: Quantitative Literacy & Reasoning)
CLO#2: Find derivatives, directional derivatives, tangent planes, and maximums and minimums for 3D curves.
CLO#3: Set up and solve double and triple integrals to find areas and volumes of 3D solids.
CLO#4: Model with vector fields, determining divergence and curl.
CLO#5: Find and interpret line and surface integrals for 3D functions.