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Master Course Outline
MATH& 152
Calculus II


Credits: 5
Clock Hours per Quarter: 50

AA Discipline: [Quantitative] [Natural Sciences]

Lecture Hours:50


Description
Continuance of MATH& 151, topics include the definite integral, integration techniques and applications of integration.   Prerequisite: Grade of C- or higher in MATH& 151 or permission of the Mathematics Department. Formerly MATH 125, Calculus with Analytic Geometry II. [NS]

Intended Learning Outcomes
  • Successfully develop a practical understanding of the definite integral.
    a. Limit of Riemann sums.
    b. Connection between the derivative and the definite integral.
    c. Compute the definite integral and its interpretation as area.
    d. Properties of the definite integral and its interpretation as area.
    e. "Going backward" from a derivative to the original function, first graphically and numerically, then analytically.
  • Successfully apply the symbolic methods of integration.
    a. Antiderivatives and the Fundamental Theorem of Calculus.
    b. Integration by substitution.
    c. Integration by parts.
    d. Tables of integrals.
    e. Integration using a computer algebra system (CAS).
    f. Approximating definite integrals.
    g. Convergence and divergence of improper integrals.
  • Successfully apply the integral in solving problems including, but not limited to, the following:
    a. Areas enclosed by functions.
    b. Volumes of solids of revolution using cylindrical shells, discs, and or washers. Volumes of solids that are not solids in revolution using slicing techniques.
    c. Arc length of functions and parametric curves in the plane.
    d. Common applications of the integral in physics (work, pressure, etc).
  • Technology skills integrated into the course include, but are not limited to, the following:
    Evaluating definite integrals numerically using the CAS or calculator programs involving Riemann sums. Evaluate of definite and indefinite integrals using CAS.
  • Optional (to be included in either MATH 125 or 126 but not oth): Successfully solve first-order differential equations graphically (slope fields), numerically (Euler's method), analytically (separation of variables), all in the context of substantial applications.

  • Course Topics
  • Introduction to the definite integral
  • Applications of the definite integral, differentiation and integration of logarithmic, exponential, trigonom, metric, and hyperbolic functions
  • Techniques and applications of integration

  • Syllabi Listing See ALL Quarters
    Course
    Year Quarter
    Item
    Instructor  
    MATH& 152
    Winter 2014
    0894
    Megan Schoessler
    MATH& 152
    Winter 2013
    0444
    Julianne Sachs
    MATH& 152
    Winter 2011
    1467
    Julianne Sachs
    MATH& 152
    Winter 2010
    1481
    Eric Schulz
    MATH& 152
    Winter 2010
    1467
    Julianne Sachs


    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.