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Apr 20, 2024
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MAT 164 - Calculus for Busn/Social Sci Credits: 4 Lecture Hours: 4 Lab Hours: 0 Practicum Hours: 0 Work Experience: 0 Course Type: Core Functions, graphs, differential calculus, integral calculus, introduction to max-min theory for functions of two variables. Emphasis on application of calculus to business problems. Not a substitute for MAT 211 and MAT 217 . Prerequisite: Minimum ALEKS scores of 61% or MAT 121 with a C- or better Competencies
- Perform basic operations with numbers, functions, and graphs
- Graph elementary equations
- Find distances in the plane
- Graph special types of functions
- Add, subtract, multiply, and divide elementary functions
- Find the composite of two functions
- Establish the limit of a function
- Find the slope of a curve at a specific point
- Calculate the limit of a function at a specific point
- Define continuity
- Calculate one-sided limits
- Calculate limits at infinity
- Differentiate functions
- Define the derivative for real-valued functions of one real variable
- Calculate the derivative of certain elementary functions directly from the definition
- Calculate derivatives using various elementary rules: sum, product, quotient, power, etc
- Calculate derivatives using the Chain Rule
- Compute derivatives by the method of implicit differentiation
- Apply the derivative
- Locate Increasing and Decreasing Functions
- Discuss the concavity of a function
- Find any relative extrema of a function
- Find any absolute extrema of a function
- Sketch many general functions
- Solve general applied Maximum-Minimum problems
- Set up and solve applications to Economics and Business
- Set up and solve related rate problems
- Apply the mean value theorem
- Calculate the indefinite and definite integrals
- Calculate indefinite integrals for elementary functions
- Use indefinite integrals to calculate definite integrals
- Calculate definite and indefinite integrals by substitution
- Apply the integral
- Find areas by integration
- Apply the definite integral to economics and business
- Find volumes by integration
- Solve problems involving exponential and logarithmic functions
- Differentiate both exponential and logarithmic functions
- Integrate both exponential and logarthmic functions
- Solve exponential growth and decay problems
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