Jun 02, 2026  
2026-27 RCC Catalog 
    
2026-27 RCC Catalog
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MTH 254 - Calculus IV - Vector Calculus


5 Credit(s)

Prerequisite(s):  

MTH 252Z  or permission of Instructor.

Recommended Prerequisite(s):  

MTH 253Z  

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.

Course Meeting Hours Type: Lecture
Course meeting hours minimum: 40
Course meeting hours standard: 44
Course meeting hours maximum: 48

Other Course Meeting Hours Type: Lecture/Lab
Other course meeting hours minimum: 20
Other course meeting hours standard: 22
Other course meeting hours maximum: 24

ACTI Code, Course Type
100 Lower Division Collegiate



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