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Dec 26, 2024
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MAT 220 - Business Calculus
Credits: 4
4 Lecture Hours
Prerequisites: MAT 120 or MAT 142
Description
A calculus course designed for students majoring in business and social sciences. Topics include: Explicit and implicit differentiation of polynomial, rational, exponential and logarithmic functions; graphing techniques based on the first and second derivatives of a function; definite and indefinite integration; partial differentiation of multivariate functions; maximization and minimization of functions.
Learning Outcomes
Upon successful completion of the course, the student will:
- Compute limits of polynomial, rational, exponential and logarithmic functions.
- Identify intervals in which polynomial, rational, exponential and logarithmic function are continuous.
- Differentiate polynomial, rational, exponential and logarithmic functions, including those that require implicit differentiation.
- Apply differentiation techniques to find the following for a given function: intervals where increasing, intervals where decreasing, extrema, inflection points and concavity.
- Sketch the graph of a function based on its first and second derivative.
- Solve optimization problems using the derivative.
- Produce the indefinite integral of a function.
- Calculate the definite integral of a function.
- Compute the area of a region using the definite integral.
- Solve application problems using the definite integral.
- Differentiate multivariate functions.
- Apply partial derivatives to optimization problems involving multivariate functions, including those subject to constraining conditions.
Listed Topics
- Functions, Limits and Continuity
- Differentiation: The Derivative of a Function, Techniques of Differentiation, Higher Order Derivatives and the Chain Rule
- Applications of the Derivative: Graphing and Finding Maxima and Minima of Functions
- Additional Differentiation Topics: Differentiation of Exponential and Logarithmic Functions and Implicit Differentiation
- Applications of Differentiation
- Integration: Antiderivatives, Indefinite Integral, Techniques of Integration, Definite Integral, Area Under and Between Curves
- Applications of Integral Calculus in Business and the Social Sciences
- Multivariate Calculus: Partial derivatives, Maximal and Minima, Maxima and Minima Subject to Constraining Conditions Using LaGrange Multipliers
- Applications of Multivariate Calculus
Reference Materials
Each student will be required to have the textbook, on-line homework system and calculator adopted by the Mathematics Department at the specific campus.
Approved By: Bullock, Quintin Date Approved: 03/28/2017
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