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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
MATH& 254 is the fourth in a sequence of four calculus courses for students who are planning to major in engineering, mathematics, or the sciences. Graphical analysis of concepts is emphasized through the use of technology. Prerequisite: Grade of C- or higher in MATH& 153, satisfactory placement, or permission of the Mathematics Department. Formerly MATH 224, Calculus & Analytical Geometry IV.

Intended Learning Outcomes
  • Use vector-valued functions to analyze the position, velocity, acceleration, and distance traveled of an object in motion.
  • Represent, graph, and analyze surfaces in rectangular, cylindrical, and spherical coordinates.
  • Analyze functions of two or more variables. Determine the domain, calculate limits, assess continuity, graph, evaluate partial and directional derivatives, find and interpret the gradient, and determine extrema.
  • Set up, evaluate, and interpret double integrals in rectangular and polar coordinates and triple integrals in rectangular, cylindrical, and spherical coordinates.
  • Set up, evaluate, and interpret line and surface integrals.
  • Interpret the graphical, numeric, and algebraic forms of a vector field. Find the flux, curl, and divergence where relevant. Determine whether a vector field is conservative and, if so, find the potential function.
  • Apply Green's Theorem, Stoke's Theorem, and the Divergence Theorem.
  • Access and use technology including a computer algebra system.
  • Communicate mathematics using relevant vocabulary and notation.

  • Syllabi Listing See ALL Quarters
    Course
    Year Quarter
    Item
    Instructor  
    MATH& 254
    Fall 2016
    7171
    Julianne Sachs
    MATH& 254
    Fall 2015
    7171
    Julianne Sachs
    MATH& 254
    Fall 2014
    1488
    Megan Schoessler
    MATH& 254
    Fall 2013
    1488
    Julianne Sachs
    MATH& 254
    Fall 2011
    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.