• 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
• 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
• 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