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Master Course Outline
MATH& 254
Calculus IV


Credits: 5
Clock Hours per Quarter: 50

AA Discipline: [Quantitative] [Natural Sciences]

Lecture Hours:50


Description
Introduction to multi-variable calculus. Topics include vector-valued functions, partial derivatives, directional derivatives, multiple integration, vector analysis, line and surface integrals, Green's and Stokes' theorems. Prerequisite: Grade C- or higher in MATH& 153 or permission of the Mathematics Department. Formerly MATH 224, Calculus & Analytical Geometry IV.

Intended Learning Outcomes
  • Work with two and three-dimensional vectors algebraically and geometrically: magnitudes, directions, dot products, vector products.
  • Graph, analyze, and perform calculus operations on two and three-dimensional parametric functionis of a single variable.
  • Graph, analyze, and perform calculus operations on two and three-dimensional vector-valued functions of a single variable. Understand the connections between vectors representing position, velocity, and acceleration.
  • Analyze completely, and be able to read, generate, and interpret graphs for functions of two or more variables: surface plots, contour plots, evaluate partial derivatives, find extremums, evaluate directional derivatives, and gradients.
  • Setup and evaluate multiple integrals over generalized domains of integration described in rectangular, polar coordinates, cylindrical, and spherical coordinates.
  • Setup, evaluate and interpret line integrals and surfact integrals.
  • Green's Theorem, the Divergence Theorem, and Stoke's Theorem.

  • Syllabi Listing See ALL Quarters
    Course
    Year Quarter
    Item
    Instructor  
    MATH& 254
    Fall 2013
    1488
    Julianne Sachs
    MATH& 254
    Fall 2011
    1477
    Eric Schulz
    MATH& 254
    Fall 2010
    1477
    Julianne Sachs
    MATH& 254
    Fall 2009
    1477
    Eric Schulz


    Two Year Projected Schedule

    Year One* Year Two**
    Fall
    Winter
    Spring
    Summer
    Mini 
    Fall
    Winter
    Spring
    Summer
    Mini
    X
     
     
     
     
    X
     
     
     
     

    *If fall quarter starts on an odd year (2003, 2005, etc.), it's Year One.
    **
    If fall quarter starts on an even year (2002, 2004, etc.), it's Year Two.