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Master Course Outline
MATH& 153
Calculus III


Credits: 5
Clock Hours per Quarter: 50

AA Discipline: [Quantitative] [Natural Sciences]

Lecture Hours:50


Description
Continuance of MATH& 152, topics include differential equations, infinite sequences and series, parametric curves, vectors, and vector-valued functions. Prerequisite: Grade of C- or higher in MATH& 152 or permission of Mathematics Department. Formerly MATH 126, Calculus with Analytic Geometry III.

Intended Learning Outcomes
  • Optional (to be included in either MATH 125 or 126 but not both): Successfully solve first-order differential equations graphically (slope fields), numerically (Euler's method), analytically (separation of variables), all in the context of substantial applications.
  • Determine convergence (divergence) of infinite sequences and series using the Nth term test, integral test, P-series test, comparison and limit comparison tests, absolute comparison test, ratio and root tests.
  • Develop an understanding of power series and their applications.
    a. Radius and interval of convergence.
    b. Termwise differentiation and integration.
    c. Approximating values of functions and integrals.
    d. Binomial series.
  • Develop an understanding of R3.
  • Plot and analyze both functions and parametric surfaces in R3 using appropriate technological tools.
  • Graph and analyze both two and three-dimensional parametric curves using appropriate technological tools.
  • Perform integral computations with parametric curves.
  • Successfully graph and analyze two and three-dimensional vector-valued functions in the context of motion of a point in the plane or space using appropriate technological tools.
  • Technological skills integrated into the course include, but are not limited to, the following:
    evaluation antiderivatives graphically using computer or calculator programs involving slope fields, plotting parametric equations in the plane and in space, plotting polar equations in the plane, plotting surfaces described by either functions of x and y or parametric equations.

  • Syllabi Listing See ALL Quarters
    Course
    Year Quarter
    Item
    Instructor  
    MATH& 153
    Spring 2014
    0841
    Megan Schoessler
    MATH& 153
    Spring 2013
    0452
    Julianne Sachs
    MATH& 153
    Spring 2011
    1494
    Julianne Sachs
    MATH& 153
    Spring 2010
    1490
    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.