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 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.
Typical Required and Recommended Equipment and Materials: Graphing calculator.
ACTI Code and Course Type 100 Lower Division Collegiate
Length of Course: LECTURE PORTION: A required state minimum of (40) and a standard RCC delivery of (44) lecture hours per term, not to exceed (48) hours per term. LECTURE/LAB PORTION: A required state minimum of (20) and a standard RCC delivery of (22) lecture/lab hours per term, not to exceed (24) hours per term.
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