Business Calculus Videos

By James Sousa

 

Brief Calculus

  1. Introduction to Limits
  2. Determining Limits
  3. Limits at Infinity
  4. Continuity
  5. Asymptotes:  Part 1, Part 2
  6. Consumer and Producer Surplus
  7. Elasticity of Demand:  Part 1, Part 2
  8. Point of Equilibrium
  9. Present and Future Value:  Part 1, Part 2
  10. Finding Max and Mins Applications:  Part 1, Part 2
  11.  Introduction to the Derivative
  12. Finding Derivatives using the Limit Definition
  13. Finding Derivatives Using the Power Rule
  14. Applications of the Derivatives Using the Power Rule
  15. The Product Rule
  16. The Quotient Rule
  17. Average Revenue, Cost, Profit Functions and their Derivatives
  18. The Chain Rule:  Part 1, Part 2
  19. Higher-Order Derivatives:  Part 1, Part 2
  20. Increasing and Decreasing Functions
  21. The First Derivative Test to Find Relative Extrema
  22. Determining the Concavity of a Function
  23. The Second Derivative Test to Determine Relative Extrema
  24. Marginals – not in learning tools
  25. Differentials
  26. Absolute Extrema
  27. Implicit Differentiation
  28. Related Rates

29.  Graphing Exponential Functions   

  1. Derivatives of Exponential Functions with base e   
  2. Logarithms
  3. Derivatives of Logarithmic Functions
  4. Derivatives of ax and logax
  5. Sigma Notation / Summation Notation 
  6. Area Under a Graph
  7. The Antiderivative 
  8. The Definite Integral 
  9. Properties of Definite Integrals and Average Value  
  10. Area Between to Graphs
  11. Integration by Substitution
  12. Integration by Parts:  Basics, Integration by Parts, Integration by Parts:  More Examples