• 3450:210 Calculus with Business Applications Objectives

    • Evaluate limits and apply this concept
    • Find derivatives of functions that contain polynomial, rational, radical, exponential, and logarithmic terms and make use of derivatives to optimize functions and/or find tangent lines to the functions at given points
    • Apply calculus techniques to various business concepts: cost/revenue/profit/break-even, supply/demand/equilibrium, elasticity of demand, average cost/revenue/profit, marginal cost/revenue/profit, etc.
    • Use limits and derivatives to find key characteristics of functions such as minimums, maximums, asymptotes, increasing or decreasing intervals, inflections points, and concavity
    • Find partial derivatives of functions of multiple variables and classify critical values of such functions
    • Mathematical modeling of real-world economics problems
  • Topical Outline
    • Exponents and Radicals
    • Multiplying and Factoring Algebraic Expressions
    • Rational Expressions
    • Solving Polynomial Equations
    • Solving Miscellaneous Equations
    • Functions from the Numerical and Algebraic Viewpoints
    • Functions and Models
    • Linear Functions and Models
    • Quadratic Functions and Models
    • Exponential Functions and Models
    • Logarithmic Functions and Models
    • Limits:  Numerical and Graphical Approaches
    • Limits and Continuity
    • Limits and Continuity:  Algebraic Approach
    • Average Rate of Change
    • Derivatives:  Numerical and Graphical Viewpoints
    • The Derivative:  Algebraic Viewpoint
    • Derivatives of Powers, Sums, and Constant Multiples
    • A First Application:  Marginal Analysis
    • The Product and Quotient Rules
    • The Chain Rule
    • Derivatives of Logarithmic and Exponential Functions
    • Maxima and Minima
    • Applications of Maxima and Minima
    • Higher Order Derivatives:  Acceleration and Concavity
    • Analyzing Graphs
    • Elasticity
    • Functions of Several Variables from the Numerical, Algebraic, and Graphical Viewpoints
    • Partial Derivatives
    • Maxima and Minima