
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 maxmin 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 onesided limits
 Calculate limits at infinity
 Differentiate functions
 Define the derivative for realvalued 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 MaximumMinimum 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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