Montgomery College 2017-2018 Catalog 
    Dec 11, 2023  
Montgomery College 2017-2018 Catalog [ARCHIVED CATALOG]

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MATH 150 - Elementary Applied Calculus I


A general calculus course primarily for business students. Topics include algebraic, exponential, and logarithmic functions and their graphs; an intuitive approach to limits; differentiation; integration; and functions of several variables. Major emphasis is on applications in business, economics, and the life sciences. The course is not open for credit to students who have a grade of C or better in MATH 181  or equivalent. PREREQUISITE(S): A grade of C or better in MATH 096 , appropriate score on mathematics assessment test, or consent of department. Assessment Level(s): ENGL 101 / ENGL 101A  or AELW 940 /ELAI 990 , READ 120  or AELR 930 /ELAR 980 . Four hours each week. Formerly MA 160.

4 semester hours

Course Outcomes:
Upon course completion, a student will be able to:

  • Evaluate limits graphically and algebraically.
  • Find a derivative directly from the definition of the derivative.
  • Formulate applied problems - business, economic, and life-science, in particular - into mathematical equations using appropriate calculus symbols; solve and interpret the solution of such problems in a real-world context.
  • Identify and apply the appropriate rule(s) for symbolic differentiation to find first and higher order derivatives.
  • Interpret the indefinite integral as an inverse process of differentiation and evaluate indefinite integrals.
  • Recognize and use all standard notations for first and higher order derivatives.
  • Set up and evaluate definite integrals to solve applied problems including problems involving area, total change, and average value.
  • Use first and second derivatives to determine the critical numbers, increasing and decreasing behavior, relative extrema, inflection points, and concavity of a function; use this information to sketch the graph of a function.
  • Use the Fundamental Theorem of Calculus to evaluate definite integrals.
  • Use the graph of a function f(x) to determine if the function is continuous and/or differentiable at a given value of x.
  • Use the graph of the first derivative of a function to obtain information about the behavior of a function.
  • Write a verbal interpretation of the derivative as a rate of change in the context of an application, using everyday language and appropriate units.

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