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Master Course Outline
MATH& 148
Business Calculus

Credits: 5
Clock Hours per Quarter: 50

AA Discipline: [Quantitative] [Natural Sciences]

Lecture Hours:50

Introduction to calculus as applied to business and economics as well as the behavioral, social, and life sciences. Topics include functions, exponential and logarithmic function derivatives and their applications, integrals and their applications. Prerequisite: Grade of C- or higher in MATH& 141, appropriate score on placement exam, or permission of the Mathematics Department. Formerly MATH 121, Survey of Calculus.

Intended Learning Outcomes
  • Analyze and work with the following families of functions. Special attention should be given to each function's individuality: the shape of its graph, characteristic properties, comparative growth rates, and general uses.
    a. Linear functions.
    b. Power and root functions.
    c. Exponential and logarithmic functions.
    d. General polynomial functions.
  • Successfully apply the concept of the derivative to each of the families of functions listed above.
    a. Find derivatives numerically (by taking arbitrarily fine difference quotients).
    b. Visualize derivatives graphically as the slope of the graph.
    c. Interpret the meaning of the first and second derivatives in various applications.
    d. Recognize the derivative as a function in its own right.
  • Successfully apply the symbolic methods of differentiations to each of the families of functions listed above.
    a. Apply the definition of the derivative.
    b. Formulas for differentiation of functions: sum and difference rule, power rule, product rule, quotient rule, and chain rule.
    c. Implicit differentiation.
  • Successfully apply the derivative in solving problems.
  • 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 numerically.
    d. Properties of the definite integral and its interpretation as area.
    e. Antidifferentiation graphically, numerically, and analytically.
  • Successfully apply the symbolic methods of integration: Antiderivatives and the Fundamental Theorem of Calculus, Integration of Substitution, Integration by Parts, Tables of Integrals.
  • Successfully apply the integral in solving problems.

  • Syllabi Listing See ALL Quarters
    Year Quarter
    MATH& 148
    Winter 2015
    Jeff Lucas
    MATH& 148
    Spring 2014
    Gary Owsley
    MATH& 148
    Spring 2013
    Gary Owsley
    MATH& 148
    Spring 2012
    Gary Owsley

    Two Year Projected Schedule

    Year One* Year Two**

    *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.