Sep 27, 2023
MATH 150 - Elementary Applied Calculus I
Differential and integral calculus with applications in business, economics, social and the life sciences. Topics include functions and their graphs, constructing mathematical models, the derivative and its applications, the integral and its applications, exponential and logarithmic functions, and functions of several variables. This course is recommended for business majors and does not fulfill the calculus requirement for most science or engineering degrees. This 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 050 , appropriate score on mathematics assessment test, or consent of department. Assessment Level(s): ENGL 101 / ENGL 011 or AELW 940 /ELAI 990 , READ 120 or AELR 930 /ELAR 980 . Four hours each week.
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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