Jul 02, 2022  
2018-19 Catalog 
    
2018-19 Catalog [ARCHIVED CATALOG]

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MATH& 254 - Calculus IV


5 CR

Extends the concepts of calculus to vector-valued functions and functions of several variables. Partial derivatives are included. Note: Fulfills the quantitative or symbolic reasoning course requirement at BC.

Recommended: MATH 152 .
Course Outcomes
  • Visualize, plot and interpret points, lines, vectors, curves, and surfaces in 3D. 
  • Translate among rectangular, cylindrical and spherical coordinate systems and state some advantages and disadvantages of each system.
  • Perform basic vector operations and apply these operations.
  • Interpret the fundamental ideas of rates of change and accumulation for curves in higher dimensions: tangent vectors, arc length, curvature.
  • Interpret the fundamental ideas of rates of change and accumulation for surfaces in higher dimensions: directional derivatives, tangent planes, max/min applications, volumes, and surface areas.


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