Nov 16, 2024  
2024-25 RCC Catalog 
    
2024-25 RCC Catalog
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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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