Mathematics for Management -- Supplementary Electronic Materials

return to the main page "Calculus I for Management"
return to the page "Integration"
 

Applications of Integration

 
Applications of Integration -- Structure
 
First Applications of Integration
 

The Substitution Rule for Definite Integrals

The contents of this unit include:
  • The substitution rule for definite integrals
  • Applying the substitution rule for definite integrals
  • Integrals of symmetric functions
video clip slides knowledge quiz
 

The Area Between Curves

The contents of this unit include:
  • Procedure of determining the area bounded by two graphs
  • Interpretation as \( \Delta x \) or \( \Delta y \) regions
video clip slides knowledge quiz
 

Worked-Out Exercises

worked out exercises
 
Applications of Integration in Economics
 

Net Excess Profit & Lorenz Curves

The contents of this unit include:
  • Excess profit and net excess profit
  • Lorenz curves
  • Gini index (index of income inequality)
video clip slides knowledge quiz
 

The Average Value of a Function

The contents of this unit include:
  • The average value of a function and its geometric interpretation
  • Rate interpretation of the average value
video clip slides knowledge quiz
 

Future Value and Present Value of an Income Flow

The contents of this unit include:
  • Future value of an annuity
  • Future value of an income stream
  • Present value of an income stream
  • Comparison of income streams
video clip slides knowledge quiz
 

Consumer Willingness to Spend & Consumer's Surplus

The contents of this unit include:
  • The consumer willingness to spend
  • Consumer's surplus
  • Geometric interpretation of the consumer willingness to spend and the consumer's surplus
  • Producer's surplus
  • Connection between consumer's and producer's surplus
video clip slides knowledge quiz
 

Worked-Out Exercises

worked out exercises
 

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