Dec 11, 2023
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
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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